{"id":1187,"date":"2024-10-11T00:00:32","date_gmt":"2024-10-10T15:00:32","guid":{"rendered":"https:\/\/xn--k10aa.com\/?p=1187"},"modified":"2024-10-26T12:10:06","modified_gmt":"2024-10-26T03:10:06","slug":"plt01","status":"publish","type":"post","link":"https:\/\/remoooo.com\/en\/plt01\/","title":{"rendered":"Hair Rendering Research: From Light-Based to Wave Optics - Study Notes - 1"},"content":{"rendered":"\n<p class=\"has-text-align-center\">\u539f\u6587\uff1a<a href=\"https:\/\/zhuanlan.zhihu.com\/p\/776529221\">https:\/\/zhuanlan.zhihu.com\/p\/776529221<\/a><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u6bdb\u53d1\u6e32\u67d3\u7814\u7a76\u5386\u53f2\u6f14\u53d8<\/h2>\n\n\n\n<p>\u57281989\u5e74\uff0cKajiya \u548c Kay \u5c06Phong\u6a21\u578b\u6269\u5c55\u5230\u6bdb\u53d1\u7ed8\u5236\uff0c\u63d0\u51fa\u4e86\u7ed8\u5236\u6bdb\u53d1\u7684\u7ecf\u9a8c\u6a21\u578b\u2014\u2014Kajiya-Kay \u6a21\u578b\u3002\u8be5\u6a21\u578b\u5c06\u6bdb\u53d1\u7b80\u5316\u4e3a\u4e00\u7cfb\u5217\u7ec6\u957f\u7684\u5706\u67f1\u4f53\uff0c\u5e76\u5047\u8bbe\u5149\u7ebf\u53ea\u5728\u6bdb\u53d1\u8868\u9762\u53d1\u751f\u7b80\u5355\u7684\u53cd\u5c04\u3002\u955c\u9762\u53cd\u5c04\uff1a\u9ad8\u5149\u3002\u6f2b\u53cd\u5c04\uff1a\u6a21\u62df\u5149\u7ebf\u5728\u6bdb\u53d1\u5185\u90e8\u7684\u6563\u5c04\uff0c\u6bdb\u53d1\u7684\u6574\u4f53\u4eae\u5ea6\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-164-1024x842.png\" alt=\"\" class=\"wp-image-1188 lazyload\" style=\"width:356px;height:auto\"\/><noscript><img decoding=\"async\" width=\"1024\" height=\"842\" src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-164-1024x842.png\" alt=\"\" class=\"wp-image-1188 lazyload\" style=\"width:356px;height:auto\" srcset=\"https:\/\/remoooo.com\/wp-content\/uploads\/image-164-1024x842.png 1024w, https:\/\/remoooo.com\/wp-content\/uploads\/image-164-300x247.png 300w, https:\/\/remoooo.com\/wp-content\/uploads\/image-164-768x631.png 768w, https:\/\/remoooo.com\/wp-content\/uploads\/image-164.png 1034w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<p>Marschner\u7b49\u4eba\u57282003\u5e74\u53d1\u8868\u4e86\u8bba\u6587\u300aLight Scattering from Human Hair Fibers\u300b\uff0c\u63d0\u51fa\u4e86\u4e00\u4e2a\u57fa\u4e8e\u7269\u7406\u7684\u6bdb\u53d1\u53cd\u5c04\u6a21\u578b\uff0c\u88ab\u79f0\u4e3aMarschner\u6a21\u578b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-165.png\" alt=\"\" class=\"wp-image-1189 lazyload\" style=\"width:493px;height:auto\"\/><noscript><img decoding=\"async\" width=\"970\" height=\"656\" src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-165.png\" alt=\"\" class=\"wp-image-1189 lazyload\" style=\"width:493px;height:auto\" srcset=\"https:\/\/remoooo.com\/wp-content\/uploads\/image-165.png 970w, https:\/\/remoooo.com\/wp-content\/uploads\/image-165-300x203.png 300w, https:\/\/remoooo.com\/wp-content\/uploads\/image-165-768x519.png 768w\" sizes=\"(max-width: 970px) 100vw, 970px\" \/><\/noscript><\/figure>\n\n\n\n<p>\u4f20\u7edf\u7684\u6bdb\u53d1\u6e32\u67d3\u6a21\u578b\uff0c\u5982Marschner\u6a21\u578b\u548cKajiya-Kay\u6a21\u578b\uff0c\u901a\u5e38\u5c06\u6bdb\u53d1\u7b80\u5316\u4e3a\u5355\u5c42\u5706\u67f1\u4f53\uff0c\u5ffd\u7565\u4e86\u6bdb\u9ad3\u8d28\uff08medulla\uff09\u7684\u5f71\u54cd\u3002Yan\u7b49\u4eba\u57282015\u5e74\u53d1\u8868\u7684\u8bba\u6587\u300aPhysically-Accurate Fur Reflectance: Modeling, Measurement and Rendering\u300b\u9488\u5bf9\u8fd9\u4e00\u95ee\u9898\u63d0\u51fa\u4e86\u4e00\u79cd\u66f4\u4e3a\u7cbe\u786e\u548c\u9ad8\u6548\u7684\u6bdb\u53d1\u6e32\u67d3\u6a21\u578b\uff0c\u5373\u5c06\u6bcf\u6839\u6bdb\u53d1\u5efa\u6a21\u4e3a\u4e24\u4e2a\u540c\u5fc3\u5706\u67f1\u4f53\u3002\u5176\u5efa\u6a21\u7ed3\u5408\u4e86\u5b8c\u6574\u7684\u6bdb\u53d1\u53cc\u5411\u6563\u5c04\u5206\u5e03\u51fd\u6570\uff08BSDF\uff09\uff0c\u7cbe\u786e\u5730\u63cf\u8ff0\u5149\u7ebf\u5728\u6bdb\u53d1\u4e2d\u7684\u591a\u8def\u5f84\u4f20\u64ad\u548c\u6563\u5c04\u884c\u4e3a\u3002\u6b64\u5916\uff0c\u4e3a\u4e86\u786e\u4fdd\u7269\u7406\u771f\u5b9e\u6027\uff0c\u8fdb\u884c\u4e86\u5927\u91cf\u7269\u7406\u6d4b\u91cf\u5de5\u4f5c\uff0c\u5305\u62ec\u4e5d\u79cd\u4e0d\u540c\u7684\u6bdb\u53d1\u6837\u672c\uff0c\u6700\u540e\u5f00\u653e\u4e86\u6570\u636e\u5e93\u7684\u90e8\u5206\u53cd\u5c04\u53c2\u6570\u4f9b\u827a\u672f\u5bb6\u8c03\u6574\u3002\u4e3a\u4e86\u63d0\u9ad8\u6e32\u67d3\u6548\u7387\uff0cYan[2015]\u7ed3\u5408\u4e86[Zinke and Weber 2007]\u8fd1\u573a\u6563\u5c04(R, TT, TRT)\u7684\u8003\u8651\uff0c\u5bf9\u5e38\u89c1\u7684\u6563\u5c04\u8def\u5f84\u8fdb\u884c\u9884\u8ba1\u7b97\uff0c\u5b58\u5728Lut\u4e2d\uff0c\u5b9e\u73b0\u4e86\u5355\u6bdb\u7ea4\u7ef4\u7684\u9ad8\u6548\u5149\u7ebf\u6563\u5c04\u8ba1\u7b97\u3002\u5bf9\u4e8e\u6e32\u67d3\u7ba1\u7ebf\u7684\u4f18\u5316\uff0cYan[2015]\u4e3b\u8981\u96c6\u4e2d\u5728\u53cc\u5706\u67f1\u6a21\u578b\u4e0a\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-166.png\" alt=\"\" class=\"wp-image-1190 lazyload\" style=\"width:724px;height:auto\"\/><noscript><img decoding=\"async\" width=\"968\" height=\"476\" src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-166.png\" alt=\"\" class=\"wp-image-1190 lazyload\" style=\"width:724px;height:auto\" srcset=\"https:\/\/remoooo.com\/wp-content\/uploads\/image-166.png 968w, https:\/\/remoooo.com\/wp-content\/uploads\/image-166-300x148.png 300w, https:\/\/remoooo.com\/wp-content\/uploads\/image-166-768x378.png 768w\" sizes=\"(max-width: 968px) 100vw, 968px\" \/><\/noscript><\/figure>\n\n\n\n<p>\u4eceMarschner[2003]\u5230d&#8217;Eon[2011]\u548cChiang[2016]\u7684\u62d3\u5c55\u6a21\u578b\uff0c\u867d\u7136\u4e0d\u65ad\u589e\u52a0\u6bdb\u53d1\u7684\u53c2\u6570\uff08\u5982d&#8217;Eon[2011]\u7684\u65b9\u4f4d\u89d2\u7c97\u7cd9\u5ea6\u6570\u503c\u79ef\u5206\u3001Chiang[2016]\u7684\u8fd1\u573a\u65b9\u4f4d\u89d2\u6563\u5c04\uff09\u4f7f\u5f97\u6e32\u67d3\u7cbe\u5ea6\u589e\u52a0\uff0c\u4f46\u662f\u5176\u590d\u6742\u7684\u6563\u5c04\u8def\u5f84\u548c\u5927\u91cf\u7684\u9884\u8ba1\u7b97\u9650\u5236\u4e86\u5176\u5b9e\u7528\u6027\u3001\u5b9e\u65f6\u6027\u3002Yan[2015]\u63d0\u51fa\u7684\u53cc\u5706\u67f1\u6bdb\u53d1\u53cd\u5c04\u6a21\u578b\u4e5f\u5b58\u5728\u8ba1\u7b97\u6210\u672c\u9ad8\u3001\u5b9e\u7528\u6027\u4f4e\u7684\u95ee\u9898\u3002\u56e0\u6b64Yan[2017]\u63d0\u51fa\u4e86\u4e00\u4e2a\u7b80\u5316\u7248\u672c\uff0c\u901a\u8fc7\u89e3\u6790\u7684\u65b9\u5f0f\u5b9e\u73b0\u5feb\u901f\u79ef\u5206\u5e76\u4e14\u5927\u5e45\u51cf\u5c11Lobes\u6570\u91cf\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-167-1024x417.png\" alt=\"\" class=\"wp-image-1191 lazyload\"\/><noscript><img decoding=\"async\" width=\"1024\" height=\"417\" src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-167-1024x417.png\" alt=\"\" class=\"wp-image-1191 lazyload\" srcset=\"https:\/\/remoooo.com\/wp-content\/uploads\/image-167-1024x417.png 1024w, https:\/\/remoooo.com\/wp-content\/uploads\/image-167-300x122.png 300w, https:\/\/remoooo.com\/wp-content\/uploads\/image-167-768x313.png 768w, https:\/\/remoooo.com\/wp-content\/uploads\/image-167-1536x625.png 1536w, https:\/\/remoooo.com\/wp-content\/uploads\/image-167-2048x834.png 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<p>\u4e0a\u9762\u8fd9\u5e45\u56fe\u4e2d\uff0c\u6e05\u6670\u7684\u6307\u51fa\u4e86\uff0cMarschner[2003]\u4f7f\u7528\u7684\u662f\u7eb5\u5411-\u65b9\u4f4d\u89d2\u7684\u5206\u89e3\u8868\u793a\uff0c\u5c06\u590d\u6742\u7684\u4e09\u7ef4\u5149\u6563\u5c04\u8fc7\u7a0b\u7b80\u5316\u4e3a\u4e24\u4e2a\u8f83\u4e3a\u72ec\u7acb\u7684\u7ef4\u5ea6\u3002\u7eb5\u5411\u6563\u5c04\u51fd\u6570\uff08Longitudinal Scattering Function\uff09\u63cf\u8ff0\u5149\u7ebf\u6cbf\u7740\u6bdb\u53d1\u7ea4\u7ef4\u8f74\u7ebf\u7684\u4f20\u64ad\u548c\u6563\u5c04\u3002\u65b9\u4f4d\u89d2\u6563\u5c04\u51fd\u6570\uff08Azimuthal Scattering Function\uff09\u63cf\u8ff0\u5149\u7ebf\u5728\u6bdb\u53d1\u7ea4\u7ef4\u6a2a\u622a\u9762\uff08\u5782\u76f4\u4e8e\u7ea4\u7ef4\u8f74\u7ebf\u7684\u5e73\u9762\uff09\u5185\u7684\u6563\u5c04\u3002\u8fd9\u4e2a\u6a21\u578b\u8003\u8651T\u3001TT\u548cTRT\u3002\u5728d&#8217;Eon[2011]\u4fee\u6b63\u4e86\u80fd\u91cf\u5b88\u6052\u95ee\u9898\u3002Yan[2015]\u7684\u53cc\u5706\u67f1\u6a21\u578b\uff08\u6bdb\u5c0f\u76ae\u548c\u6bdb\u9ad3\u8d28\uff09\u590d\u6742\u4e86\u5149\u7ebf\u4ea4\u4e92\uff0c\u8003\u8651\u4e86R\u3001TrT\u3001TtT\u548cTrRrT\u3002Yan[2017]\u4e2d\u5f15\u5165\u4e86\u7edf\u4e00\u7684\u6298\u5c04\u7387\uff08IORs\uff09\uff0c\u5316\u7b80\u5149\u8def\u4f20\u64ad\uff0c\u4e0d\u518d\u533a\u5206\u4e0d\u540c\u6750\u6599\u7684\u6298\u5c04\u7387\uff0c\u5373R\u3001TT\u3001TRT\u3001TT^s\u548cTRT^s\uff08^s\u8868\u793a\u5316\u7b80\u8def\u5f84\uff09\u3002Yan[2017]\u6307\u51fa\u7edf\u4e00IORs\u5b9e\u9645\u4e0a\u5e76\u4e0d\u4f1a\u663e\u8457\u5f71\u54cd\u6e32\u67d3\u7ed3\u679c\uff0c\u4f9d\u65e7\u80fd\u4fdd\u6301\u8f83\u9ad8\u7684\u771f\u5b9e\u6027\uff0c\u539f\u56e0\u662f<strong>\u6bdb\u76ae\u8d28\uff08cortex\uff09\u548c\u6bdb\u9ad3\u8d28\uff08medulla\uff09\u4e4b\u95f4\u7684\u6298\u5c04\u7387\u975e\u5e38\u63a5\u8fd1<\/strong>\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-168.png\" alt=\"\" class=\"wp-image-1192 lazyload\" style=\"width:492px;height:auto\"\/><noscript><img decoding=\"async\" width=\"892\" height=\"696\" src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-168.png\" alt=\"\" class=\"wp-image-1192 lazyload\" style=\"width:492px;height:auto\" srcset=\"https:\/\/remoooo.com\/wp-content\/uploads\/image-168.png 892w, https:\/\/remoooo.com\/wp-content\/uploads\/image-168-300x234.png 300w, https:\/\/remoooo.com\/wp-content\/uploads\/image-168-768x599.png 768w\" sizes=\"(max-width: 892px) 100vw, 892px\" \/><\/noscript><\/figure>\n\n\n\n<p>Yan[2017]\u4e3a\u4e86\u89e3\u51b3\u4ee5\u524d\u6bdb\u53d1\u6e32\u67d3\u4e2d\u8ba1\u7b97\u590d\u6742\u5ea6\u8f83\u9ad8\u7684\u95ee\u9898\uff0c\u63d0\u51fa\u4e86<strong>\u8fd1\u573a\u4e0e\u8fdc\u573a\u7684\u5212\u5206<\/strong>\uff0c\u5e76\u5f15\u5165\u4e86<strong>\u5206\u5c42\u6e32\u67d3\u7b56\u7565\uff08Layered Rendering Strategy\uff09<\/strong>\u3002\u8fd1\u573a\u4e3b\u8981\u662f\u5149\u7ebf\u5728\u5355\u6839\u6bdb\u53d1\u4e0a\u7684\u7cbe\u7ec6\u6563\u5c04\u548c\u53cd\u5c04\u3002\u6b64\u533a\u57df\u9700\u8981\u9ad8\u7cbe\u5ea6\u7684\u7269\u7406\u6a21\u578b\u6e32\u67d3\u6bdb\u53d1\uff0c\u5982\u6d89\u53ca\u5e72\u6d89\u3001\u884d\u5c04\u7b49\u6ce2\u52a8\u5149\u5b66\u73b0\u8c61\u3002\u8fdc\u573a\u5219\u662f\u63cf\u8ff0\u5149\u7ebf\u5728\u5927\u91cf\u6bdb\u53d1\u7ea4\u7ef4\u96c6\u4f53\u4f5c\u7528\u4e0b\u7684\u6574\u4f53\u6563\u5c04\u6548\u5e94\u3002\u5728\u6b64\u533a\u57df\uff0c\u5355\u6839\u6bdb\u53d1\u7684\u5fae\u89c2\u7ed3\u6784\u5f71\u54cd\u53ef\u4ee5\u88ab\u5e73\u5747\u5316\uff0c\u66f4\u52a0\u9002\u5408\u91c7\u7528\u7edf\u8ba1\/\u8fd1\u4f3c\u7b49\u65b9\u6cd5\u8ba1\u7b97\uff0c\u4f18\u5316\u63d0\u9ad8\u6e32\u67d3\u6548\u7387\u3002<strong>\u5212\u5206\u6807\u51c6\uff1a\u57fa\u4e8e\u5149\u4e0e\u6bdb\u53d1\u7ea4\u7ef4\u4e4b\u95f4\u7684\u8ddd\u79bb\u548c\u6bdb\u53d1\u7ea4\u7ef4\u7684\u5c3a\u5bf8<\/strong>\u3002\u4e5f\u5c31\u662f\u8bbe\u5b9a\u4e00\u4e2a<strong>Threshold<\/strong>\uff0c\u5f53\u5149\u7ebf\u4e0e\u6bdb\u53d1\u7684\u8ddd\u79bb\u5c0f\u4e8e\u8be5\u9608\u503c\u65f6\uff0c\u5f52\u7c7b\u4e3a\u8fd1\u573a\uff1b\u53cd\u4e4b\uff0c\u5f52\u7c7b\u4e3a\u8fdc\u573a\u3002<strong>\u5206\u5c42\u6e32\u67d3\u7684\u6d41\u7a0b<\/strong>\u9996\u5148\u662f\u5149\u7ebf\u8ffd\u8e2a\uff0c\u5224\u65ad\u8fd1\u573a\u6291\u6216\u662f\u8fdc\u573a\uff0c\u8fd1\u573a\u7ed3\u5408\u9884\u8ba1\u7b97\u6563\u5c04\u8868\u7528Mie\u6563\u5c04\u7406\u8bba\u548cFresnel\u65b9\u7a0b\u7b97\u53cd\u5c04\u900f\u5c04\uff0c\u8fdc\u573a\u7528\u7edf\u8ba1\u6563\u5c04\u51fd\u6570+\u9884\u8ba1\u7b97\u6563\u5c04\u8868+MC\u79ef\u5206\u964d\u4f4e\u590d\u6742\u5ea6\uff0c\u6700\u7ec8\u4e24\u8005\u53e0\u52a0\uff0c\u5e76\u4e14\u505a\u5f52\u4e00\u5316\u5904\u7406\u3002\u8fd9\u91cc\u6309\u7167\u8bba\u6587\u7684\u4e09\u70b9\u6765\u8be6\u7ec6\u8bb2\u8bb2\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-169-1024x401.png\" alt=\"\" class=\"wp-image-1193 lazyload\" style=\"width:774px;height:auto\"\/><noscript><img decoding=\"async\" width=\"1024\" height=\"401\" src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-169-1024x401.png\" alt=\"\" class=\"wp-image-1193 lazyload\" style=\"width:774px;height:auto\" srcset=\"https:\/\/remoooo.com\/wp-content\/uploads\/image-169-1024x401.png 1024w, https:\/\/remoooo.com\/wp-content\/uploads\/image-169-300x118.png 300w, https:\/\/remoooo.com\/wp-content\/uploads\/image-169-768x301.png 768w, https:\/\/remoooo.com\/wp-content\/uploads\/image-169.png 1102w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Simple Reflectance Model\uff08\u7b80\u5355\u7684\u53cd\u5c04\u6a21\u578b\uff09<\/strong>Yan[2015]\u7684\u6a21\u578b\u867d\u7136\u5f15\u5165\u4e86\u6bdb\u9ad3\u8d28\uff08medulla\uff09\uff0c\u5e76\u8003\u8651\u4e86\u66f4\u591a\u7684\u7269\u7406\u7ec6\u8282\uff0c\u4f46\u4ecd\u7136\u5177\u6709\u8f83\u9ad8\u7684\u8ba1\u7b97\u590d\u6742\u5ea6\uff0c\u7279\u522b\u662f\u5728\u8fd1\u573a\u4e0e\u8fdc\u573a\u7684\u8f6c\u6362\u4e0a\u3002Yan[2017]\u63d0\u51fa<strong>\u7b80\u5316\u7684\u5206\u5c42\u53cd\u5c04\u6a21\u578b<\/strong>\uff0c\u4fdd\u7559\u4e86\u53cd\u5c04\u7684\u5173\u952e\u7269\u7406\u73b0\u8c61\uff0c\u51cf\u5c11\u4e86\u4e0d\u5fc5\u8981\u7684\u590d\u6742\u5149\u6563\u5c04\u8def\u5f84\u3002\u4ed6\u4eec\u5c06\u53cd\u5c04\u63cf\u8ff0\u4e3a\u4e09\u4e2a\u4e3b\u8981\u7684\u5149\u6563\u5c04\u8def\u5f84\uff08R:\u5149\u7ebf\u5728\u6bdb\u5c0f\u76ae\u8868\u9762\u7684\u955c\u9762\u53cd\u5c04\u3001TT:\u5149\u7ebf\u900f\u8fc7\u6bdb\u5c0f\u76ae\u5c42\uff0c\u5e76\u5728\u5185\u90e8\u6563\u5c04\u540e\u4ece\u53e6\u4e00\u4fa7\u900f\u5c04\u51fa\u6765\u3001TRT:\u5149\u7ebf\u8fdb\u5165\u6bdb\u53d1\u540e\u5728\u5185\u90e8\u53cd\u5c04\u4e00\u6b21\uff0c\u6700\u7ec8\u900f\u5c04\u51fa\u6765\uff09\u3002\u6700\u540e\u7ed3\u5408<strong>\u7b80\u5316\u7684\u53cc\u5411\u6563\u5c04\u5206\u5e03\u51fd\u6570\uff08BSDF\uff09<\/strong>\u6355\u6349\u8def\u5f84\u7684\u53cd\u5c04\uff0c\u51cf\u5c11\u4e86\u8ba1\u7b97\u4e2d\u6240\u9700\u7684lobes\uff08\u901a\u5e38\u7528\u4e8e\u63cf\u8ff0\u4e0d\u540c\u6563\u5c04\u65b9\u5411\u7684\u5206\u5e03\u66f2\u7ebf\uff09\u3002\u76f8\u6bd4\u4e8e\u4e4b\u524d\u7684\u6a21\u578b\uff0c\u8ba1\u7b97\u8fc7\u7a0b\u4e2d\u7684lobes\u4ece\u539f\u6765\u76849\u4e2a\u51cf\u5c11\u52305\u4e2a\u3002<\/li>\n\n\n\n<li><strong>Improved Accuracy and Practicality\uff08\u63d0\u9ad8\u7684\u7cbe\u5ea6\u548c\u5b9e\u7528\u6027\uff09<\/strong>\u9ad8\u7cbe\u5ea6\u6a21\u578b\uff08\u5982Marschner\u6a21\u578b\u3001Yan[2015]\u7b49\uff09\u9700\u8981\u590d\u6742\u7684\u6570\u503c\u8ba1\u7b97\u548c\u5927\u91cf\u7684\u9884\u8ba1\u7b97\u6570\u636e\uff0c\u56e0\u6b64\u96be\u4ee5\u5728\u5b9e\u65f6\u5e94\u7528\u4e2d\u5b9e\u73b0\u3002\u800c\u4f4e\u7cbe\u5ea6\u7684\u7ecf\u9a8c\u6a21\u578b\u5219\u7f3a\u4e4f\u8db3\u591f\u7684\u7269\u7406\u771f\u5b9e\u6027\u3002\u4e8e\u662f\u5728Yan[2017]\u4e2d\uff0c\u505a\u4e86\u5f88\u591a\u6539\u8fdb\u3002\u5c3d\u7ba1\u6a21\u578b\u7b80\u5316\u4e86\u5149\u6563\u5c04\u8def\u5f84\uff0c\u4f46\u901a\u8fc7<strong>\u7ed3\u5408\u7269\u7406\u73b0\u8c61<\/strong>\uff08\u5982\u6bdb\u5c0f\u76ae\u7684\u591a\u5c42\u53cd\u5c04\u7ed3\u6784\u3001\u5404\u5411\u5f02\u6027\u6563\u5c04\u7b49\uff09\uff0c\u4fdd\u6301\u4e86\u6bdb\u53d1\u548c\u6bdb\u76ae\u7684\u7269\u7406\u7cbe\u5ea6\u3002\u901a\u8fc7\u5bf9\u5149\u7684\u7eb5\u5411\u548c\u65b9\u4f4d\u89d2\u6563\u5c04\u8fdb\u884c\u5408\u7406\u7b80\u5316\uff0c\u8be5\u6a21\u578b\u5728\u7cbe\u786e\u6027\u4e0a\u4f18\u4e8e\u4f20\u7edf\u7684\u7ecf\u9a8c\u6a21\u578b\u3002\u6b64\u5916\u5c31\u662f<strong>\u8fd1\u573a\u4e0e\u8fdc\u573a\u7684\u8fc7\u6e21\u5904\u7406<\/strong>\u3002\u4f20\u7edf\u6a21\u578b\u5f80\u5f80\u65e0\u6cd5\u5e73\u6ed1\u5730\u5904\u7406\u8fd1\u573a\u548c\u8fdc\u573a\u4e4b\u95f4\u7684\u5149\u5b66\u8fc7\u6e21\u95ee\u9898\u3002Yan\u7b49\u4eba\u5f15\u5165\u4e86<strong>\u4e00\u4e2a\u8fd1\u573a-\u8fdc\u573a\u7684\u89e3\u6790<\/strong>\u89e3\u51b3\u65b9\u6848\uff0c\u5728\u5149\u7ebf\u9760\u8fd1\u6bdb\u53d1\u7ea4\u7ef4\u65f6\u7cbe\u786e\u6a21\u62df\u53cd\u5c04\uff0c\u540c\u65f6\u5728\u8fdc\u573a\u65f6\u5feb\u901f\u8fd1\u4f3c\u5149\u7ebf\u7684\u6574\u4f53\u53cd\u5c04\u884c\u4e3a\u3002\u4f7f\u5f97\u6e32\u67d3\u6548\u7387\u53ef\u7528\u4e8e\u5b9e\u65f6\u6e32\u67d3\u3002<\/li>\n\n\n\n<li><strong>Analytic Near\/Far Field Solution\uff08\u89e3\u6790\u7684\u8fd1\u573a\/\u8fdc\u573a\u6c42\u89e3\uff09<\/strong><strong>\u8fd1\u573a\uff08\u5149\u7ebf\u4e0e\u5355\u6839\u6bdb\u53d1\u7ea4\u7ef4\u4e4b\u95f4\u7684\u77ed\u8ddd\u79bb\u4ea4\u4e92\uff0c\u5373\u6563\u5c04\u884c\u4e3a\uff09\u548c\u8fdc\u573a\uff08\u5149\u7ebf\u4e0e\u5927\u91cf\u6bdb\u53d1\u7ea4\u7ef4\u4e4b\u95f4\u7684\u8fdc\u8ddd\u79bb\u96c6\u4f53\u6548\u5e94\uff09\u7684\u5904\u7406\u5b58\u5728\u5de8\u5927\u5dee\u5f02\u3002\u4e3a\u4e86\u5b9e\u73b0\u8fd1\u573a\u548c\u8fdc\u573a\u7684\u65e0\u7f1d\u8fc7\u6e21\uff0c\u4f5c\u8005\u4f7f\u7528\u4e86\u89e3\u6790\u79ef\u5206\u65b9\u6cd5\uff0c\u800c\u975e\u7e41\u7410\u7684\u6570\u503c\u79ef\u5206\u3002\u89e3\u6790\u79ef\u5206\u80fd\u591f\u76f4\u63a5\u8ba1\u7b97\u53cd\u5c04\u51fd\u6570\uff0c\u4e0d\u9700\u8981\u901a\u8fc7\u590d\u6742\u7684\u6570\u503c\u6c42\u89e3\u6216\u9884\u8ba1\u7b97\uff0c\u6781\u5927\u5730\u51cf\u5c11\u4e86\u8ba1\u7b97\u65f6\u95f4\u3002<\/strong><\/li>\n\n\n\n<li><strong>Significant Speed Up\uff08\u663e\u8457\u52a0\u901f\uff09<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u51cf\u5c11\u7528\u4e8e\u63cf\u8ff0\u6563\u5c04\u8def\u5f84\u7684<strong>lobes\u6570\u91cf<\/strong>\uff1b<\/li>\n\n\n\n<li><strong>\u89e3\u6790\u79ef\u5206\u548c\u9884\u8ba1\u7b97\u7ed3\u5408<\/strong>\uff1b<\/li>\n\n\n\n<li>\u91c7\u7528\u4e86\u7b80\u5316\u7684BSDF\u548c\u89e3\u6790\u7684\u53cd\u5c04\u8ba1\u7b97\u516c\u5f0f\uff0c\u5c06\u5149\u7ebf\u8ffd\u8e2a\u548c\u53cd\u5c04\u8ba1\u7b97\u5728<strong>GPU\u4e0a\u5e76\u884c\u5316<\/strong>\uff0c\u6a21\u578b\u7684\u6e32\u67d3\u901f\u5ea6\u6bd4\u4e4b\u524d\u7684\u65b9\u6cd5\u63d0\u5347\u4e866-8\u500d\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>\u7b80\u5355\u603b\u7ed3\u4e00\u4e0b\uff0cYan[2017]\u63d0\u51fa\u7684\u53cd\u5c04\u6a21\u578b\u6548\u679c\u548c\u6027\u80fd\u90fd\u4e0d\u9519\uff0c\u901a\u8fc7\u7edf\u4e00\u76ae\u5c42\u548c\u9ad3\u8d28\u7684IOR\uff0c\u4f7f\u5f97\u6a21\u578b\u53ea\u9700\u89815\u4e2alobes\u5c31\u53ef\u4ee5\u8868\u793a\u76ae\u6bdb\u7684\u590d\u6742\u6563\u5c04\uff0c\u5229\u7528\u5f20\u91cf\u8fd1\u4f3c\u6700\u5c0f\u5316\u5b58\u50a8\u5f00\u9500\u3002\u5728\u8fd9\u4e2a\u6a21\u578b\u7684\u57fa\u7840\u4e0a\uff0c\u63d0\u51fa\u8fdc\u8fd1\u573a\u7684\u89e3\u6790\u79ef\u5206\uff0c\u5c06\u6a21\u578b\u62d3\u5c55\u81f3\u591a\u5c3a\u5ea6\u6e32\u67d3\u3002\u60f3\u8981\u5728\u5b9e\u65f6\u6e32\u67d3\u4e2d\u5b9e\u73b0BCSDF\u6a21\u578b\u662f\u975e\u5e38\u7b80\u5355\u7684\uff0c\u5f53\u524d\u5df2\u7ecf\u6709\u4e0d\u5c11\u5b9e\u73b0\u65b9\u5f0f\u4e86\uff0c\u5e76\u4e14\u5df2\u7ecf\u5e94\u7528\u4e8e\u5f71\u89c6\u884c\u4e1a\u3002[The Lion King (HD). 2017 movie] (2019 Oscar Nominee for Best Visual Effects)<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-170-1024x475.png\" alt=\"\" class=\"wp-image-1194 lazyload\"\/><noscript><img decoding=\"async\" width=\"1024\" height=\"475\" src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-170-1024x475.png\" alt=\"\" class=\"wp-image-1194 lazyload\" srcset=\"https:\/\/remoooo.com\/wp-content\/uploads\/image-170-1024x475.png 1024w, https:\/\/remoooo.com\/wp-content\/uploads\/image-170-300x139.png 300w, https:\/\/remoooo.com\/wp-content\/uploads\/image-170-768x356.png 768w, https:\/\/remoooo.com\/wp-content\/uploads\/image-170.png 1406w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<p>XIA[2023]\u63d0\u51fa\u4e86\u57fa\u4e8e\u6ce2\u52a8\u5149\u5b66\u7684\u6bdb\u53d1\u53cd\u5c04\u6a21\u578b\u3002\u4f20\u7edf\u7684\u6bdb\u53d1\u6e32\u67d3\u6a21\u578b\u5927\u591a\u57fa\u4e8e\u51e0\u4f55\u5149\u5b66\u8fd1\u4f3c\uff0c\u8fd9\u4e9b\u6a21\u578b\u5728\u5904\u7406\u8f83\u5927\u7684\u6bdb\u53d1\u7ea4\u7ef4\u65f6\u6548\u679c\u8f83\u597d\uff0c\u4f46\u5728\u7ec6\u5fae\u5149\u5b66\u73b0\u8c61\uff08\u5982\u6bdb\u53d1\u4e0a\u7684\u5f69\u8272\u5149\u70b9\uff0c\u5373<strong>glints<\/strong>\uff09\u65b9\u9762\u8868\u73b0\u6b20\u4f73\u3002\u8fd9\u4e9b\u6563\u5c04\u6548\u5e94\uff0c\u5305\u62ec\u53cd\u5c04\u3001\u900f\u5c04\u548c\u591a\u6b21\u6563\u5c04\uff0c\u96be\u4ee5\u901a\u8fc7\u7b80\u5355\u7684\u51e0\u4f55\u5149\u5b66\u6a21\u578b\u51c6\u786e\u63cf\u8ff0\u3002\u968f\u7740\u6bdb\u53d1\u7ea4\u7ef4\u7684\u76f4\u5f84\u63a5\u8fd1\u6216\u5c0f\u4e8e\u5149\uff08\u53ef\u89c1\u5149\uff09\u6ce2\u957f\u65f6\uff0c\u6ce2\u52a8\u5149\u5b66\u6548\u5e94\u53d8\u5f97\u8d8a\u6765\u8d8a\u91cd\u8981\uff0c\u800c\u51e0\u4f55\u5149\u5b66\u6a21\u578b\u5219\u65e0\u6cd5\u6355\u6349\u8fd9\u4e9b\u6548\u5e94\u3002<\/p>\n\n\n\n<p>\u6bdb\u53d1\u7684\u6ce2\u52a8\u5149\u5b66\u6548\u5e94\uff0c\u5982<strong>\u5149\u7684\u5e72\u6d89\u3001\u884d\u5c04<\/strong>\u7b49\u8ba1\u7b97\u91cf\u975e\u5e38\u5927\u3002\u6ce2\u52a8\u5149\u5b66\u6a21\u62df\u9700\u8981\u8ba1\u7b97\u7535\u78c1\u573a\u7684\u4f20\u64ad\uff0c\u800c\u4e0d\u4ec5\u4ec5\u662f\u5149\u7ebf\u7684\u8def\u5f84\u3002\u6bdb\u53d1\u3001\u76ae\u6bdb\u5177\u6709\u9ad8\u5ea6\u4e0d\u89c4\u5219\u7684\u5fae\u89c2\u7ed3\u6784\uff0c\u8fd9\u4e9b\u7ed3\u6784\u4f1a\u8fdb\u4e00\u6b65\u5f71\u54cd\u5149\u7684\u6563\u5c04\u3002\u57fa\u4e8e\u51e0\u4f55\u5149\u5b66\u7684\u65b9\u6cd5\u65e0\u6cd5\u5904\u7406\u8fd9\u4e9b\u6ce2\u52a8\u73b0\u8c61\uff0c\u800c\u5168\u6ce2\u6a21\u62df\u9700\u8981\u9ad8\u6602\u7684\u8ba1\u7b97\u8d44\u6e90\u3002<\/p>\n\n\n\n<p>\u65e9\u5728XIA[2020]\u5c31\u5df2\u7ecf\u63d0\u51fa\u4e86\u5229\u7528\u6ce2\u52a8\u5149\u5b66\u51c6\u786e\u63cf\u8ff0\u5149\u4e0e\u7ea4\u7ef4\u7684\u76f8\u4e92\u4f5c\u7528\uff0c\u7528\u8fb9\u754c\u5143\u6cd5\uff08Boundary Element Method, BEM\uff09\u6a21\u62df\u5149\u7ebf\u5728\u4efb\u610f\u622a\u9762\u7684\u7ea4\u7ef4\u6563\u5c04\u3002\u5e76\u4e14XIA[2020]\u6307\u51fa\u7531\u4e8e\u884d\u5c04\u6548\u5e94\uff0c\u7ea4\u7ef4\u8868\u73b0\u51fa\u6781\u5f3a\u7684\u524d\u5411\u6563\u5c04\u6548\u5e94\u3002\u56e0\u6b64\u6ce2\u52a8\u5149\u5b66\u6548\u5e94\u5e94\u8be5\u8ba9\u5149\u7ebf\u4e13\u6ce8\u96c6\u4e2d\u524d\u5411\u6563\u5c04\u7684\u65b9\u5411\u3002\u8fd8\u6307\u51fa\u4e86\uff0c\u5c0f\u7684\u7ea4\u7ef4\u6563\u5c04\u6548\u5e94\u663e\u8457\u4f9d\u8d56\u5149\u7684\u6ce2\u957f\uff0c\u5bfc\u81f4\u5f3a\u70c8\u7684\u6ce2\u957f\u6563\u5c04\u3002\u6b64\u5916\u6ce2\u52a8\u573a\u5e26\u6765\u7684\u5947\u5f02\u6027\u8f6f\u5316\u73b0\u8c61\u4e5f\u662f\u51b3\u5b9a\u771f\u5b9e\u7126\u6563\u6548\u679c\u7684\u5173\u952e\u3002\u4e3a\u4e86BEM\u6a21\u62df\u7684\u8ba1\u7b97\u91cf\u53ef\u63a7\uff0c\u7ea4\u7ef4\u7684\u5f62\u72b6\u7406\u60f3\u4e3a\u5177\u6709\u89c4\u5219\u7684\u6a2a\u622a\u9762\u5f62\u72b6\u3002\u4f46\u662fMarschner[2003]\u6307\u51fa\u6bdb\u53d1\u8868\u9762\u7684\u4e0d\u89c4\u5219\u5bf9\u6bdb\u53d1\u5916\u89c2\u6709\u91cd\u8981\u7684\u5f71\u54cd\uff0c\u5728\u6ce2\u52a8\u5149\u5b66\u4e2d\u8fd9\u6837\u7684\u6548\u5e94\u662f\u5426\u663e\u8457\u4ecd\u7136\u662f\u4e00\u4e2a\u9700\u8981\u63a2\u8ba8\u548c\u89e3\u51b3\u7684\u95ee\u9898\u3002<\/p>\n\n\n\n<p><strong>\u4f20\u7edf\u7684\u51e0\u4f55\u5149\u5b66\u65b9\u6cd5\u57fa\u4e8e\u5149\u7ebf\u8ffd\u8e2a\uff08Ray Tracing\uff09\uff0c\u901a\u8fc7\u6a21\u62df\u5149\u7ebf\u5728\u6bdb\u53d1\u7ea4\u7ef4\u4e0a\u7684\u53cd\u5c04\u548c\u6298\u5c04\u6765\u9884\u6d4b\u5149\u7684\u4f20\u64ad\u8def\u5f84\u3002\u7136\u800c\uff0c\u8fd9\u79cd\u65b9\u6cd5\u5728\u5904\u7406\u6ce2\u957f\u4e0e\u7ea4\u7ef4\u5c3a\u5bf8\u76f8\u5f53\u7684\u5149\u6ce2\u65f6\u663e\u5f97\u4e0d\u8db3\uff0c\u65e0\u6cd5\u6355\u6349\u5230\u7531\u4e8e\u884d\u5c04<\/strong>\u4ea7\u751f\u7684\u590d\u6742\u5149\u5b66\u6548\u5e94\u3002\u5b9e\u9645\u6d4b\u91cf\u4e2d\uff0c\u7ea4\u7ef4\u6563\u5c04\u8868\u73b0\u51fa\u4e00\u4e9b\u5c16\u9510\u7684\u5149\u5b66\u7279\u5f81\uff0c\u8fd9\u662f\u7531\u4e8e\u5149\u7684\u884d\u5c04\u6548\u5e94\u9020\u6210\u7684\u3002\u5305\u62ec\u9ed1\u8272\u72d7\u6bdb\u4e2d\u8868\u73b0\u7684\u7565\u5fae\u989c\u8272\u504f\u79fb\uff0c\u4e5f\u662f\u7531\u4e8e\u5149\u7684\u5e72\u6d89\u548c\u884d\u5c04\u5f15\u8d77\u7684\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-171.png\" alt=\"\" class=\"wp-image-1195 lazyload\" style=\"width:439px;height:auto\"\/><noscript><img decoding=\"async\" width=\"820\" height=\"372\" src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-171.png\" alt=\"\" class=\"wp-image-1195 lazyload\" style=\"width:439px;height:auto\" srcset=\"https:\/\/remoooo.com\/wp-content\/uploads\/image-171.png 820w, https:\/\/remoooo.com\/wp-content\/uploads\/image-171-300x136.png 300w, https:\/\/remoooo.com\/wp-content\/uploads\/image-171-768x348.png 768w\" sizes=\"(max-width: 820px) 100vw, 820px\" \/><\/noscript><\/figure>\n\n\n\n<p>\u4e3a\u4e86\u5904\u7406\u8fd9\u4e9b\u51e0\u4f55\u5149\u5b66\u65e0\u6cd5\u89e3\u91ca\u7684\u73b0\u8c61\uff0cXIA[2023]\u5f00\u53d1\u4e86\u4e00\u4e2a\u57fa\u4e8e\u7269\u7406\u5149\u5b66\u8fd1\u4f3c\uff08Physical Optics Approximation\uff0cPO\uff09\u7684\u4e09\u7ef4\u6ce2\u52a8\u5149\u5b66\u6a21\u62df\u5668\uff0c\u5e76\u4e14\u5229\u7528GPU\u52a0\u901f\u8ba1\u7b97\u6548\u7387\u3002\u901a\u8fc7\u516b\u53c9\u6811\u7ed3\u6784\u6765\u5904\u7406\u7a7a\u95f4\u3002\u8be5\u6a21\u62df\u5668\u5177\u6709\u4e00\u5b9a\u7684\u901a\u7528\u6027\uff0c\u80fd\u591f\u5904\u7406\u4efb\u610f\u7684\u4e09\u7ef4\u51e0\u4f55\u5f62\u72b6\uff0c\u4e5f\u5c31\u662f\u8bf4\u53ef\u4ee5\u5904\u7406\u5230\u7ea4\u7ef4\u8868\u9762\u7684\u5fae\u89c2\u7ed3\u6784\u3002<\/p>\n\n\n\n<p>\u4f46\u662fXIA[2023]\u4e2d\u6307\u51fa\uff0c\u56e0\u4e3a\u8ba1\u7b97\u590d\u6742\u5ea6\u9ad8\u7684\u539f\u56e0\uff0c\u76f4\u63a5\u5c06\u8fd9\u4e2a\u6a21\u62df\u5668\u8fd0\u7528\u5230\u5f53\u524d\u4e3b\u6d41\u6e32\u67d3\u6846\u67b6\u662f\u4e0d\u73b0\u5b9e\u7684\u3002\u56e0\u6b64\u9700\u8981\u5148\u5c06\u8be5\u6a21\u578b\u8fc1\u79fb\u5230\u73b0\u6709\u7684\u6bdb\u53d1\u6563\u5c04\u6a21\u578b\u4e2d\uff0c\u7136\u540e\u52a0\u5165\u4e00\u4e2a\u57fa\u4e8e<strong>\u57fa\u7840\u884d\u5c04\u7406\u8bba\uff08elementary diffraction theory\uff09\u7684\u884d\u5c04lobe<\/strong>\u3002\u6700\u540e\u63d0\u51fa\u4e86\u4e00\u4e2a\u57fa\u4e8e<strong>\u968f\u673a\u8fc7\u7a0b<\/strong>\u7684\u8c03\u5236\u65b9\u6cd5\u6765\u6355\u6349\u6563\u6591\uff08optical speckle\uff09\u6548\u5e94\uff0c\u5c3d\u7ba1\u662f\u7a0b\u5e8f\u566a\u58f0\u4f46\u662f\u4f9d\u7136\u4e0e\u7269\u7406\u6a21\u62df\u7ed3\u679c\u4e00\u81f4\uff0c\u89c6\u89c9\u6548\u679c\u4e0e\u73b0\u5b9e\u76f8\u8fd1\u3002<\/p>\n\n\n\n<p>XIA[2023]\u5c06\u5f53\u524d\u7684\u6bdb\u53d1\/\u7ea4\u7ef4\u6e32\u67d3\u5206\u4e3a\u4e24\u79cd\uff0c\u4e00\u79cd\u662f\u4f20\u7edf\u7684<strong>Ray-based Fiber Models\uff08\u57fa\u4e8e\u5149\u7ebf\u7684\u7ea4\u7ef4\u6a21\u578b\uff09<\/strong>\uff0c\u53e6\u4e00\u79cd\u5219\u662f<strong>Wave-based Fiber Models\uff08\u57fa\u4e8e\u6ce2\u52a8\u5149\u5b66\u7684\u7ea4\u7ef4\u6a21\u578b\uff09<\/strong>\u3002<\/p>\n\n\n\n<p>Linder[2014]\u63d0\u51fa\u4e86\u4e00\u79cd\u89e3\u6790\u89e3\u7528\u4e8e\u5904\u7406\u5706\u67f1\u5f62\u7ea4\u7ef4\u7684\u6563\u5c04\u884c\u4e3a\uff0c\u4f46\u662f\u53ea\u9002\u7528\u4e8e\u5b8c\u7f8e\u7684\u5706\u5f62\u622a\u9762\uff0c\u65e0\u6cd5\u5904\u7406\u590d\u6742\u7684\u6bdb\u53d1\u8868\u9762\u7ed3\u6784\u3002XIA[2020]\u901a\u8fc7\u4e8c\u7ef4\u6ce2\u52a8\u5149\u5b66\u6e32\u67d3\u7814\u7a76\u4e86\u4efb\u610f\u6a2a\u622a\u9762\u5f62\u72b6\u7684\u7ea4\u7ef4\u6563\u5c04\u884c\u4e3a\uff0c\u5c55\u73b0\u51fa\u884d\u5c04\u6548\u5e94\u7684\u8868\u73b0\uff0c\u4f46\u662f\u8be5\u8bba\u6587\u5047\u8bbe\u524d\u63d0\u662f\u5b8c\u7f8e\u7684\u6324\u51fa\u7ed3\u6784\uff0c\u5373\u7ea4\u7ef4\u8868\u9762\u662f\u89c4\u5219\u7684\u3002Bennamira&amp;Pattanaik[2021]\u63d0\u51fa\u4e86\u4e00\u4e2a\u6df7\u5408\u6a21\u578b\uff0c\u5728\u53ea\u6709\u524d\u5411\u884d\u5c04\u7684\u60c5\u51b5\u4e0b\u4f7f\u7528\u6ce2\u52a8\u5149\u5b66\u6c42\u89e3\uff0c\u5728\u5176\u4ed6\u6563\u5c04\u6a21\u5f0f\u4e2d\u4f7f\u7528\u4f20\u7edf\u7684\u51e0\u4f55\u5149\u5b66\u3002\u4f46\u662fXIA[2023]\u8fdb\u4e00\u6b65\u8003\u8651\u4e86\u5149\u7ebf\u7684<strong>\u5165\u5c04\u7eb5\u5411\u89d2\u4f9d\u8d56\u6027<\/strong>\u3002<\/p>\n\n\n\n<p>\u8bba\u6587\u6700\u540e\u5c06\u7a0b\u5e8f\u566a\u58f0\u62df\u5408\u5230\u6ce2\u52a8\u5149\u5b66\u4e2d\u7684\u6563\u6591\u6a21\u5f0f\uff0c\u901a\u8fc7\u7edf\u8ba1\u7279\u6027\u62df\u5408\uff0c\u4ea7\u751f\u975e\u5e38\u771f\u5b9e\u7684\u6548\u679c\u3002<\/p>\n\n\n\n<p>XIA[2023]\u8fd8\u63d0\u5230\u4e86<strong>\u7535\u78c1\u8ba1\u7b97\u5de5\u5177\uff08Computational Electromagnetics Tools\uff09<\/strong>\u5728\u5904\u7406\u5149\u7ebf\u548c\u7ea4\u7ef4\u590d\u6742\u4ea4\u4e92\u65f6\u7684\u91cd\u8981\u4f5c\u7528\uff0c\u5c24\u5176\u662f\u4f7f\u7528\u50cf\u662fBEM\u7b49\u6570\u503c\u65b9\u6cd5\u65f6\u3002<strong>\u8ba1\u7b97\u7535\u78c1\u5b66<\/strong>\u662f\u7528\u4e8e\u7814\u7a76\u7535\u78c1\u73b0\u8c61\u7684\u8ba1\u7b97\u65b9\u6cd5\uff0c\u56e0\u4e3a\u5149\u662f\u4e00\u79cd\u7535\u78c1\u6ce2\uff0c\u5149\u5b66\u4e2d\u8bb8\u591a\u73b0\u8c61\u53ef\u4ee5\u901a\u8fc7\u7535\u78c1\u5b66\u7684\u5de5\u5177\u6765\u5206\u6790\u3002CEM\u5728\u5149\u5b66\u4e2d\u7ecf\u5e38\u7528\u4e8e\u8ba1\u7b97\u5149\u4e0e\u7269\u4f53\u8868\u9762\uff08\u5982\u6bdb\u53d1\u7ea4\u7ef4\uff09\u4e4b\u95f4\u7684\u4ea4\u4e92\u3002CEM\u7684\u5e38\u89c1\u7b97\u6cd5\u6709\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u6709\u9650\u5dee\u5206\u65f6\u57df\u6cd5\uff08Finite-Difference Time-Domain, FDTD\uff09<\/strong>\uff1a\u4e00\u79cd\u901a\u8fc7\u7a7a\u95f4\u548c\u65f6\u95f4\u79bb\u6563\u5316\u6c42\u89e3\u9ea6\u514b\u65af\u97e6\u65b9\u7a0b\u7684\u6570\u503c\u65b9\u6cd5\uff0c\u6700\u65e9\u7531Kane Yee\u4e8e1966\u5e74\u63d0\u51fa\uff0c\u662f\u4e00\u79cd\u76f4\u63a5\u7684\u65f6\u57df\u65b9\u6cd5Kane Yee[1966], Taflove[2005]\u3002<\/li>\n\n\n\n<li><strong>\u6709\u9650\u5143\u6cd5\uff08Finite Element Method, FEM\uff09<\/strong>\uff1a\u901a\u8fc7\u5c06\u6c42\u89e3\u533a\u57df\u5212\u5206\u4e3a\u6709\u9650\u4e2a\u5143\u7d20\uff0c\u7528\u6765\u6c42\u89e3\u590d\u6742\u51e0\u4f55\u7ed3\u6784\u4e2d\u7684\u7535\u78c1\u573a\u5206\u5e03Jin[2015]\u3002<\/li>\n\n\n\n<li><strong>\u8fb9\u754c\u5143\u6cd5\uff08Boundary Element Method, BEM\uff09<\/strong>\uff1a\u4e5f\u79f0\u4e3a\u77e9\u91cf\u6cd5\uff08Method of Moments, MoM\uff09\uff0c\u8fd9\u662f\u4e00\u79cd\u901a\u8fc7\u53ea\u5904\u7406\u7269\u4f53\u8868\u9762\u7684\u7535\u78c1\u573a\u6765\u51cf\u5c11\u8ba1\u7b97\u91cf\u7684\u6570\u503c\u65b9\u6cd5Gibson[2021], Huddleston[1986], Wu[1977]\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u867d\u7136CEM\u6709\u5f88\u591a\u52a0\u901f\u7b97\u6cd5\uff0c\u6bd4\u5982Song[1997]\u7684\u591a\u5c42\u5feb\u901f\u591a\u6781\u5b50\u7b97\u6cd5\uff08Multilevel Fast Multipole Algorithm, MLFMA\uff09\uff0c\u4f46\u662f\u5728\u6bdb\u53d1\u76ae\u6bdb\u6a21\u62df\u4e2d\uff0c\u63d0\u5347\u4f9d\u65e7\u676f\u6c34\u8f66\u85aa\u3002<\/p>\n\n\n\n<p>\u7531\u4e8e\u5168\u6ce2\u6a21\u62df\u8ba1\u7b97\u6210\u672c\u9ad8\u6602\uff0c\u56e0\u6b64XIA[2023]\u63d0\u51fa\u7269\u7406\u5149\u5b66\u8fd1\u4f3c\uff08PO\uff09\u6765\u7b80\u5316\u4f8b\u5982\u6bdb\u53d1\u7ea4\u7ef4\u8868\u9762\u7684\u53cd\u5c04\u548c\u884d\u5c04\u8fc7\u7a0b\u3002<\/p>\n\n\n\n<p><strong>\u7269\u7406\u5149\u5b66\u5e73\u9762\u6a21\u578b<\/strong>\u662f<strong>\u7269\u7406\u5149\u5b66\u8fd1\u4f3c\uff08Physical Optics, PO\uff09\u7684\u4e00\u79cd\u5e94\u7528\uff0c\u5b83\u4e13\u95e8\u7528\u4e8e\u6a21\u62df\u5149\u5728\u5e73\u9762\u6216\u63a5\u8fd1\u5e73\u9762\u7684\u8868\u9762<\/strong>\u4e0a\u7684\u6563\u5c04\u548c\u884d\u5c04\u6548\u5e94\u3002Beckmann-Kirchhoff[1987]\u548cHarvey-Shack[1979]\u53ef\u4ee5\u6709\u6548\u8ba1\u7b97\u7c97\u7cd9\u8868\u9762\u7684\u6563\u5c04\u5149\u3002He[1991], Kajiya[1985]\u7684\u9ad8\u65af\u968f\u673a\u8868\u9762\u3001Stam[1999]\u7684\u5468\u671f\u6027\u9759\u6001\u8868\u9762\u548cWerner[2017]\u7684\u5212\u75d5\u8868\u9762\u90fd\u5229\u7528\u4e86\u7269\u7406\u5149\u5b66\u8fd1\u4f3c\u6765\u5904\u7406\u8868\u9762\u53cd\u5c04\u548c\u884d\u5c04\u3002<\/p>\n\n\n\n<p>\u5bf9\u4e8e\u66f4\u52a0\u590d\u6742\u7684\u884d\u5c04\uff0cKrywonos[2006], Krywonos[2011]\u5219\u63d0\u51fa\u4e86\u6539\u8fdb\u7c97\u7cd9\u8868\u9762\u884d\u5c04\u7684\u5904\u7406\u65b9\u6cd5\u3002Holzschuch, Pacanowski[2017]\u63d0\u51fa\u4e86\u53cc\u5c3a\u5ea6\u5fae\u8868\u9762\u6a21\u578b\uff0c\u7ed3\u5408\u53cd\u5c04\u548c\u884d\u5c04\u6765\u6a21\u62df\u7c97\u7cd9\u8868\u9762\u3002\u6700\u8fd1Falster[2020]\u7ed3\u5408\u4e86Kirchhoff\u6807\u91cf\u884d\u5c04\u7406\u8bba\u548c\u8def\u5f84\u8ffd\u8e2a\u5904\u7406\u4e8c\u6b21\u53cd\u5c04\u3001\u6563\u5c04\u3002Yan[2018]\u5229\u7528\u7269\u7406\u5149\u5b66\u6e32\u67d3\u7c97\u7cd9\u8868\u9762\u7684\u955c\u9762\u5fae\u51e0\u4f55\u7ed3\u6784\u3002<\/p>\n\n\n\n<p>\u548c\u5e73\u9762\u8868\u9762\u4e0d\u540c\u7684\u662f\uff0c\u7ea4\u7ef4\u8868\u9762\u662f\u95ed\u5408\u7684\u66f2\u9762\uff0c\u6bdb\u53d1\u7ea4\u7ef4\u7684\u51e0\u4f55\u5f62\u72b6\u5bf9\u5149\u7684\u76f8\u4e92\u4f5c\u7528\u66f4\u52a0\u590d\u6742\u3002\u9664\u4e86\u53cd\u5c04\u548c\u6563\u5c04\uff0c\u8fd8\u9700\u8981\u5904\u7406\u524d\u5411\u884d\u5c04\u6563\u5c04\u548c\u5927\u8303\u56f4\u9634\u5f71\u6548\u5e94\u3002<\/p>\n\n\n\n<p>XIA[2023]\u8fd8\u8ba8\u8bba\u4e86<strong>\u6563\u6591\uff08speckle\uff09\u6548\u5e94<\/strong>\u548c<strong>\u7a0b\u5e8f\u566a\u58f0\uff08procedural noise\uff09<\/strong>\u5728\u6bdb\u53d1\u6e32\u67d3\u4e2d\u7684\u5e94\u7528\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-172-1024x558.png\" alt=\"\" class=\"wp-image-1196 lazyload\"\/><noscript><img decoding=\"async\" width=\"1024\" height=\"558\" src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-172-1024x558.png\" alt=\"\" class=\"wp-image-1196 lazyload\" srcset=\"https:\/\/remoooo.com\/wp-content\/uploads\/image-172-1024x558.png 1024w, https:\/\/remoooo.com\/wp-content\/uploads\/image-172-300x163.png 300w, https:\/\/remoooo.com\/wp-content\/uploads\/image-172-768x418.png 768w, https:\/\/remoooo.com\/wp-content\/uploads\/image-172-1536x837.png 1536w, https:\/\/remoooo.com\/wp-content\/uploads\/image-172.png 1792w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<p>Speckle\u662f\u5f53\u5149\u7ebf\u548c\u7c97\u7cd9\u7684\u8868\u9762\u76f8\u4e92\u4f5c\u7528\u65f6\uff0c\u4ea7\u751f\u7684\u5177\u6709\u9897\u7c92\u611f\u7ed3\u6784\u7684\u56fe\u50cf\u6216\u884d\u5c04\u56fe\u6848\u3002\u5176\u7edf\u8ba1\u7279\u6027\u5df2\u7ecf\u88ab\u5e7f\u6cdb\u7814\u7a76\u3002\u5f53\u76f8\u5e72\u5149\uff08\u5982\u6fc0\u5149\uff09\u7167\u5c04\u5230\u7c97\u7cd9\u8868\u9762\u6216\u901a\u8fc7\u6563\u5c04\u4ecb\u8d28\u65f6\uff0c\u4ea7\u751f\u7684\u4e00\u79cd\u968f\u673a\u7684\u660e\u6697\u6591\u70b9\u56fe\u6848\u3002\u901a\u4fd7\u5730\u8bb2\uff0c\u5c31\u50cf\u4f60\u7528\u6fc0\u5149\u7b14\u7167\u5c04\u5728\u4e00\u5835\u7c97\u7cd9\u7684\u5899\u4e0a\uff0c\u539f\u672c\u5e94\u8be5\u662f\u4e00\u4e2a\u5149\u6ed1\u7684\u5149\u70b9\uff0c\u5374\u4f1a\u770b\u5230\u4e00\u4e2a\u9897\u7c92\u72b6\u3001\u95ea\u70c1\u7684\u56fe\u6848\u3002\u7531\u4e8e\u5149\u5728\u5fae\u5c0f\u7684\u8868\u9762\u4e0d\u5e73\u6574\u5904\u53d1\u751f\u4e86\u6563\u5c04\uff0c\u4e0d\u540c\u8def\u5f84\u7684\u5149\u6ce2\u76f8\u4e92\u5e72\u6d89\uff0c\u6709\u7684\u52a0\u5f3a\uff08\u5f62\u6210\u4eae\u6591\uff09\uff0c\u6709\u7684\u76f8\u4e92\u62b5\u6d88\uff08\u5f62\u6210\u6697\u6591\uff09\uff0c\u4ece\u800c\u4ea7\u751f\u4e86\u8fd9\u79cd\u6591\u70b9\u72b6\u7684\u56fe\u6848\u3002<\/p>\n\n\n\n<p>\u4e4b\u524d\u7684\u7814\u7a76\u5df2\u7ecf\u63a2\u7d22\u4e86\u5982\u4f55\u901a\u8fc7<strong>\u8499\u7279\u5361\u6d1b\u65b9\u6cd5<\/strong>\u6765\u6a21\u62df\u4f53\u79ef\u6563\u5c04\u4e2d\u7684\u6563\u6591\u6548\u5e94Bar[2019, 2020]\u3002\u7136\u800c\uff0c\u8fd9\u4e9b\u6a21\u578b\u4e3b\u8981\u9002\u7528\u4e8e<strong>\u5747\u5300\u4ecb\u8d28\uff08homogeneous media\uff09<\/strong>\uff0c\u4e0d\u9002\u7528\u4e8e\u6bdb\u53d1\u7ea4\u7ef4\u7b49\u5f02\u8d28\u7ed3\u6784\u3002Steinberg, Yan [2022]\u7814\u7a76\u4e86\u5e73\u9762\u7c97\u7cd9\u8868\u9762\u7684\u6563\u6591\u6e32\u67d3\u3002\u7136\u800c\u4f5c\u8005\u6307\u51fa\uff0c<strong>\u7ea4\u7ef4\u8868\u9762\u7684\u6563\u6591\u6548\u5e94\u4e0e\u5e73\u9762\u8868\u9762\u4e0d\u540c<\/strong>\uff0c\u8868\u73b0\u51fa\u4e0d\u540c\u7684\u7edf\u8ba1\u7279\u6027\u3002<\/p>\n\n\n\n<p>\u56e0\u6b64XIA[2023]\u63d0\u51fa\u4e86<strong>\u7cbe\u786e\u6355\u6349\u7ea4\u7ef4\u6563\u6591\u6a21\u5f0f\u7edf\u8ba1\u7279\u6027<\/strong>\u7684\u6e32\u67d3\u6a21\u578b\u3002\u901a\u8fc7\u7814\u7a76\u7ea4\u7ef4\u8868\u9762\u7684\u7279\u6b8a\u51e0\u4f55\u7ed3\u6784\u548c\u6563\u6591\u5206\u5e03\uff0c\u6765\u6a21\u62df\u6bdb\u53d1\u7ea4\u7ef4\u7684\u6563\u5c04\u6548\u5e94\uff0c\u63d0\u4f9b\u66f4\u4f18\u8d28\u7684\u6563\u6591\u6548\u679c\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-173.png\" alt=\"\" class=\"wp-image-1197 lazyload\" style=\"width:519px;height:auto\"\/><noscript><img decoding=\"async\" width=\"838\" height=\"702\" src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-173.png\" alt=\"\" class=\"wp-image-1197 lazyload\" style=\"width:519px;height:auto\" srcset=\"https:\/\/remoooo.com\/wp-content\/uploads\/image-173.png 838w, https:\/\/remoooo.com\/wp-content\/uploads\/image-173-300x251.png 300w, https:\/\/remoooo.com\/wp-content\/uploads\/image-173-768x643.png 768w\" sizes=\"(max-width: 838px) 100vw, 838px\" \/><\/noscript><\/figure>\n\n\n\n<p>\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u8584\u819c\u5e72\u6d89\uff08Thin-film interference\uff09\u548c\u6563\u6591\u6548\u5e94\uff08Speckle Effect\uff09\u867d\u7136\u90fd\u662f\u7531\u5149\u7684\u5e72\u6d89\u73b0\u8c61\u5f15\u8d77\uff0c\u4f46\u5b83\u4eec\u5728\u7269\u7406\u673a\u5236\u3001\u89c6\u89c9\u8868\u73b0\u4ee5\u53ca\u5728\u8ba1\u7b97\u673a\u56fe\u5f62\u5b66\u4e2d\u7684\u6e32\u67d3\u65b9\u6cd5\u4e0a\u5b58\u5728\u663e\u8457\u5dee\u5f02\u3002\u8584\u819c\u5e72\u6d89\u7684\u8499\u7279\u5361\u6d1b\u65b9\u6cd5\uff0c\u5982\u968f\u673a\u8584\u819c\u539a\u5ea6\u91c7\u6837\uff0c\u53ef\u4ee5\u501f\u9274\u5230\u6563\u6591\u6548\u5e94\u7684\u968f\u673a\u6591\u70b9\u751f\u6210\u4e2d\uff0c\u4ee5\u63d0\u9ad8\u6e32\u67d3\u7684\u771f\u5b9e\u611f\u3002\u5c42\u6b21\u5316\u7684\u539a\u5ea6\u91c7\u6837\u3001\u9884\u8ba1\u7b97\u5e72\u6d89\u56fe\u6848\u7b49\u8fd1\u4f3c\u7b97\u6cd5\u4e5f\u53ef\u4ee5\u76f8\u4e92\u501f\u9274\u3002\u8584\u819c\u5e72\u6d89\u5f80\u5f80\u6d89\u53ca\u4e0d\u540c\u5c3a\u5ea6\u7684\u5149\u6ce2\u5e72\u6d89\uff0c\u6563\u6591\u6548\u5e94\u4e5f\u6d89\u53ca\u5fae\u89c2\u8868\u9762\u7ed3\u6784\u7684\u591a\u5c3a\u5ea6\u6563\u5c04\u3002<\/p>\n\n\n\n<p>\u4e24\u8005\u4e4b\u95f4\uff0c\u8584\u819c\u5e72\u6d89\u6e32\u67d3\u590d\u6742\u5ea6\u76f8\u5bf9\u8f83\u4f4e\uff0c\u53ef\u4ee5\u5145\u5206\u4f7f\u7528\u9884\u8ba1\u7b97\u89c4\u907f\u5b9e\u65f6\u8ba1\u7b97\u7684\u8d1f\u62c5\u3002\u4f46\u662f\u6563\u6591\u6548\u5e94\u5177\u6709\u9ad8\u5ea6\u968f\u673a\u3001\u7edf\u8ba1\u7279\u6027\uff0c\u9700\u8981\u5904\u7406\u5927\u91cf\u968f\u673a\u5e72\u6d89\u7684\u8def\u5f84\uff0c\u5c24\u5176\u662f\u6a21\u62df\u6bdb\u53d1\u8fd9\u79cd\u5f02\u8d28\u7ed3\u6784\u3002\u76ee\u524d\u7684\u7814\u7a76\u5982XIA[2023]\u6b63\u81f4\u529b\u4e8e\u63d0\u9ad8\u5176\u6548\u7387\uff0c\u4f46\u76f8\u6bd4\u8584\u819c\u5e72\u6d89\u4ecd\u6709\u8f83\u5927\u5dee\u8ddd\u3002<\/p>\n\n\n\n<p>XIA[2023]\u4f7f\u7528Cook, DeRose[2005]\u7684Wavelet\u5e26\u9650\u566a\u58f0\u63a7\u5236\u5904\u7406\u6bdb\u53d1\u7ea4\u7ef4\u7684\u5fae\u89c2\u51e0\u4f55\u53d8\u5316\u3002\u8fd9\u79cd\u566a\u58f0\u4e0d\u540c\u4e8e\u5e38\u89c4\u7684\u7a0b\u5e8f\u566a\u58f0\uff0c\u4f8b\u5982Perlin[1985], Olano[2002], Perlin, Neyret[2001]\u7b49\uff0cWavelet\u566a\u58f0\u7684\u4e00\u4e2a\u663e\u8457\u4f18\u70b9\u662f\u5176<strong>\u7edf\u8ba1\u5206\u5e03\u53ef\u4ee5\u8ba1\u7b97\u548c\u63a7\u5236<\/strong>\u3002<\/p>\n\n\n\n<p>XIA[2023]\u7684\u5b9e\u7528\u6ce2\u52a8\u5149\u5b66\u7ea4\u7ef4\u6563\u5c04\u6a21\u578b\u7684\u4f18\u52bf\u5728\u4e8e\u5176\u903c\u771f\u7684<strong>\u5f69\u8272\u9ad8\u5149\uff08glints\uff09<\/strong>\u3002\u4ee5\u5f80\u7684\u51e0\u4f55\u5149\u5b66\u6a21\u578b\u901a\u5e38\u5047\u8bbe\u7ea4\u7ef4\u8868\u9762\u662f\u5149\u6ed1\u7684\u4ecb\u7535\u67f1\u4f53\uff0c\u6ca1\u6709\u8003\u8651\u5230\u5149\u6ce2\u5728\u8868\u9762\u4e0d\u89c4\u5219\u7ed3\u6784\u4e0a\u7684\u590d\u6742\u4ea4\u4e92\u3002\u5728\u5b9e\u9645\u6d4b\u8bd5\u4e2d\uff0cXIA[2023]\u7684\u6a21\u578b\u5728\u6e32\u67d3\u65f6\u95f4\u4e0a\u8868\u73b0\u826f\u597d\uff0c\u80fd\u591f\u5728\u751f\u4ea7\u73af\u5883\u4e2d\u5e94\u7528\uff0c\u5e76\u4e14\u76f8\u6bd4\u4e8e\u4f20\u7edf\u6a21\u578b\u751f\u6210\u7684\u5149\u5b66\u6548\u679c\u66f4\u52a0\u7ec6\u817b\u548c\u771f\u5b9e\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-174-1024x509.png\" alt=\"\" class=\"wp-image-1198 lazyload\" style=\"width:681px;height:auto\"\/><noscript><img decoding=\"async\" width=\"1024\" height=\"509\" src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-174-1024x509.png\" alt=\"\" class=\"wp-image-1198 lazyload\" style=\"width:681px;height:auto\" srcset=\"https:\/\/remoooo.com\/wp-content\/uploads\/image-174-1024x509.png 1024w, https:\/\/remoooo.com\/wp-content\/uploads\/image-174-300x149.png 300w, https:\/\/remoooo.com\/wp-content\/uploads\/image-174-768x382.png 768w, https:\/\/remoooo.com\/wp-content\/uploads\/image-174.png 1214w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<p>XIA[2023]\u662f\u4e00\u4e2a\u91cd\u8981\u7684\u7a81\u7834\uff0c\u6784\u5efa\u4e86<strong>\u9996\u4e2a\u4e09\u7ef4\u6ce2\u52a8\u5149\u5b66\u7ea4\u7ef4\u6563\u5c04\u6a21\u62df\u5668<\/strong>\u3002\u4ee5\u5f80\u7684\u7ea4\u7ef4\u6a21\u578b\uff08\u5305\u62ec\u65e9\u671f\u7684\u6ce2\u52a8\u5149\u5b66\u6a21\u578b\u5982Xia\u7b49\u4eba2020\u5e74\uff09\u5927\u591a\u5047\u8bbe<strong>\u7eb5\u5411\u548c\u65b9\u4f4d\u89d2\u65b9\u5411<\/strong>\u4e0a\u7684\u6563\u5c04\u662f<strong>\u53ef\u5206\u79bb\u7684<\/strong>\uff0c\u8fd9\u5927\u5927\u7b80\u5316\u4e86\u8ba1\u7b97\u3002\u7136\u800c\uff0c\u4f5c\u8005\u7684\u6a21\u62df\u7ed3\u679c\u663e\u793a\uff0c\u9ad8\u5149\u5728\u7eb5\u5411\u548c\u65b9\u4f4d\u89d2\u4e0a\u662f<strong>\u4e0d\u53ef\u5206\u79bb\u7684<\/strong>\uff0c\u8fd9\u662f\u4e4b\u524d\u7684\u6a21\u578b\u65e0\u6cd5\u51c6\u786e\u5904\u7406\u7684\u73b0\u8c61\u3002\u8be5\u6a21\u62df\u5668\u8fd8\u9884\u6d4b\u4e86<strong>\u6563\u6591\u6a21\u5f0f\uff08speckle patterns\uff09<\/strong>\uff0c\u8fd9\u662f\u4e4b\u524d\u6240\u6709\u57fa\u4e8e\u51e0\u4f55\u5149\u5b66\u548c\u6ce2\u52a8\u5149\u5b66\u7684\u7ea4\u7ef4\u6563\u5c04\u6a21\u578b\u90fd\u6ca1\u6709\u6355\u6349\u5230\u7684\u73b0\u8c61\u3002\u5e76\u4e14\u4ee5\u5f80\u7684\u5b58\u50a8\u548c\u67e5\u627e\u6a21\u62df\u751f\u6210\u7684<strong>5\u7ef4\u6563\u5c04\u5206\u5e03<\/strong>\u7684\u65b9\u6cd5\u662f\u901a\u8fc7\u8868\u683c\u6cd5\uff08tabulation\uff09\uff0c\u7279\u522b\u6d88\u8017\u5185\u5b58\u3002\u56e0\u6b64\u7528\u7a0b\u5e8f\u566a\u58f0\u76f4\u63a5\u53d6\u4ee3\u4e00\u4e2a\u4e94\u7ef4\u7684\u8868\u683c\u3002<\/p>\n\n\n\n<p>XIA[2023]\u76ee\u524d\u53ea\u6a21\u62df\u4e86\u4e00\u6b21<strong>\u53cd\u5c04\u6a21\u5f0f\u4e2d\u7684\u6563\u6591\u6548\u5e94<\/strong>\uff0c\u66f4\u9ad8\u9636\u7684\u53cd\u5c04\u6a21\u5f0f\u4ecd\u7136\u5728\u7814\u7a76\u4e2d\u3002\u5e76\u4e14\u6d45\u8272\u7684\u6bdb\u53d1\u53ef\u80fd\u9700\u6c42\u66f4\u9ad8\u7684\u8ba1\u7b97\u8981\u6c42\u624d\u80fd\u5b8c\u7f8e\u6a21\u62df\u3002\u8be5\u7814\u7a76\u7684\u6ce2\u52a8\u5149\u5b66\u7ea4\u7ef4\u6563\u5c04\u6a21\u578b\u53ef\u4ee5<strong>\u8f7b\u677e\u4e0e\u4e4b\u524d\u7684\u7ea4\u7ef4\u6a21\u578b\u7ed3\u5408<\/strong>\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">References<\/h3>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>Zotero\u4e00\u952e\u751f\u6210\uff0c\u9700\u4fee\u6b63\u3002<\/p>\n<\/blockquote>\n\n\n\n<p>[1] J. T. Kajiya and T. L. Kay, \u201cRENDERING FUR WITIt THREE DIMENSIONAL TEXTURES,\u201d 1989.<\/p>\n\n\n\n<p>[2] S. R. Marschner, H. W. Jensen, and M. Cammarano, \u201cLight Scattering from Human Hair Fibers,\u201d 2003.<\/p>\n\n\n\n<p>[3] A. Zinke and A. Weber, \u201cLight Scattering from Filaments,\u201d <em>IEEE Trans. Visual. Comput. Graphics<\/em>, vol. 13, no. 2, pp. 342\u2013356, Mar. 2007.<\/p>\n\n\n\n<p>[4] L.-Q. Yan, C.-W. Tseng, H. W. Jensen, and R. Ramamoorthi, \u201cPhysically-accurate fur reflectance: modeling, measurement and rendering,\u201d <em>ACM Trans. Graph.<\/em>, vol. 34, no. 6, pp. 1\u201313, Nov. 2015.<\/p>\n\n\n\n<p>[5] L.-Q. Yan, H. W. Jensen, and R. Ramamoorthi, \u201cAn efficient and practical near and far field fur reflectance model,\u201d <em>ACM Trans. Graph.<\/em>, vol. 36, no. 4, pp. 1\u201313, Aug. 2017.<\/p>\n\n\n\n<p>[6] M. Xia, B. Walter, C. Hery, O. Maury, E. Michielssen, and S. Marschner, \u201cA Practical Wave Optics Reflection Model for Hair and Fur,\u201d <em>ACM Trans. Graph.<\/em>, vol. 42, no. 4, pp. 1\u201315, Aug. 2023.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Glints\u6548\u679c\u63a2\u7a76<\/h2>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-175-1024x511.png\" alt=\"\" class=\"wp-image-1199 lazyload\"\/><noscript><img decoding=\"async\" width=\"1024\" height=\"511\" src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-175-1024x511.png\" alt=\"\" class=\"wp-image-1199 lazyload\" srcset=\"https:\/\/remoooo.com\/wp-content\/uploads\/image-175-1024x511.png 1024w, https:\/\/remoooo.com\/wp-content\/uploads\/image-175-300x150.png 300w, https:\/\/remoooo.com\/wp-content\/uploads\/image-175-768x384.png 768w, https:\/\/remoooo.com\/wp-content\/uploads\/image-175-1536x767.png 1536w, https:\/\/remoooo.com\/wp-content\/uploads\/image-175.png 1970w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/noscript><\/figure>\n\n\n\n<p>\u4f20\u7edf\u7684\u57fa\u4e8e\u51e0\u4f55\u5149\u5b66\u7684\u6e32\u67d3\u65b9\u6cd5\uff0c\u4f8b\u5982Yan[2014, 2016]\u4f7f\u7528<strong>\u53cc\u5411\u53cd\u5c04\u5206\u5e03\u51fd\u6570\uff08BRDF\uff09<\/strong>\u6765\u6a21\u62df\u955c\u9762\u53cd\u5c04\u8868\u9762\uff0c\u5b58\u5728\u4e00\u5b9a\u7684\u5c40\u9650\u6027\u3002<\/p>\n\n\n\n<p>Yan[2014, 2016]\u6307\u51fa\uff0c\u4f20\u7edfBRDF\u6a21\u578b\u901a\u5e38\u4f7f\u7528\u5149\u6ed1\u7684\u6cd5\u7ebf\u5206\u5e03\u51fd\u6570\uff08NDF\uff09\uff0c\u5047\u8bbe\u5fae\u5e73\u9762\u662f\u65e0\u9650\u5c0f\u7684\u3002\u4f46\u5b9e\u9645\u4e0a\uff0c\u73b0\u5b9e\u4e2d\u7684\u8868\u9762\u5f80\u5f80\u5177\u6709\u660e\u663e\u7684\u51e0\u4f55\u7279\u5f81\uff0c\u4f8b\u5982\u5fae\u7c73\u7ea7\u522b\u7684\u51f9\u51f8\u3001\u91d1\u5c5e\u6f06\u4e2d\u7684\u7247\u72b6\u7269\u7b49\uff0c\u8fd9\u4e9b\u7279\u5f81\u5728\u5f3a\u5b9a\u5411\u5149\u6e90\uff08\u5982\u65e5\u5149\uff09\u4e0b\u4f1a\u5f15\u53d1\u663e\u8457\u7684Glints\u6548\u679c\u3002Yan\u7b49\u4eba\u901a\u8fc7\u9ad8\u5206\u8fa8\u7387\u7684\u6cd5\u7ebf\u8d34\u56fe\uff0c\u66f4\u7cbe\u786e\u5730\u6a21\u62df\u8fd9\u4e9b\u5c0f\u5c3a\u5ea6\u7684\u8868\u9762\u51e0\u4f55\u7279\u5f81\uff0c\u5e76\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u7684\u65b9\u6cd5\u6765\u6709\u6548\u6e32\u67d3\u8fd9\u4e9b\u590d\u6742\u7684\u955c\u9762\u9ad8\u5149\u3002<\/p>\n\n\n\n<p>\u4f20\u7edf\u7684\u5747\u5300\u50cf\u7d20\u91c7\u6837\u6280\u672f\u5728\u6355\u6349\u8fd9\u4e9b\u5c0f\u8303\u56f4\u5185\u7684\u9ad8\u5149\u65f6\u65b9\u5dee\u8fc7\u5927\uff0c\u5bfc\u81f4\u6e32\u67d3\u6548\u7387\u4f4e\u4e0b\uff0c\u4e14\u65e0\u6cd5\u6709\u6548\u5904\u7406\u7531\u4e8e\u5149\u8def\u590d\u6742\u6027\u5f15\u8d77\u7684\u9ad8\u5149\u5206\u5e03\u4e0d\u5747\u73b0\u8c61\u3002\u56e0\u6b64Yan[2014, 2016]\u5f15\u5165\u4e86\u57fa\u4e8e\u6cd5\u7ebf\u5206\u5e03\u7684\u641c\u7d22\u548c\u9488\u5bf9\u6027\u91c7\u6837\u3002<\/p>\n\n\n\n<p>\u5728\u6bdb\u53d1\u6e32\u67d3\u4e2d\u53ef\u4ee5\u89c2\u5bdf\u5230\u6bdb\u53d1\u548c\u6bdb\u76ae\u5728\u5f3a\u5b9a\u5411\u5149\u6e90\u7167\u5c04\u4e0b\u4f1a\u663e\u793a\u51fa\u989c\u8272\u53d8\u5316\u7684\u95ea\u70c1\u6548\u679c\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-176.png\" alt=\"\" class=\"wp-image-1200 lazyload\"\/><noscript><img decoding=\"async\" width=\"852\" height=\"326\" src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-176.png\" alt=\"\" class=\"wp-image-1200 lazyload\" srcset=\"https:\/\/remoooo.com\/wp-content\/uploads\/image-176.png 852w, https:\/\/remoooo.com\/wp-content\/uploads\/image-176-300x115.png 300w, https:\/\/remoooo.com\/wp-content\/uploads\/image-176-768x294.png 768w\" sizes=\"(max-width: 852px) 100vw, 852px\" \/><\/noscript><\/figure>\n\n\n\n<p>XIA[2023]\u4e2d\u4f7f\u7528\u5149\u5b66\u6563\u6591\u7406\u8bba\uff08Optical Speckle\uff09\u6765\u6a21\u62df\u9ad8\u5149\u566a\u58f0\uff0c\u52a0\u5165\u4e86\u57fa\u7840\u884d\u5c04\u7406\u8bba\u7684\u884d\u5c04\u74e3\uff08diffraction lobe\uff09\u5904\u7406\u5149\u5728\u6bdb\u53d1\u7b49\u7ea4\u7ef4\u7ed3\u6784\u8868\u9762\u7684\u884d\u5c04\u6548\u5e94\uff0c\u8fdb\u800c\u6e32\u67d3\u51fa\u5f69\u8272\u9ad8\u5149\u6548\u679c\uff08colored glints\uff09\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-177.png\" alt=\"\" class=\"wp-image-1201 lazyload\" style=\"width:498px;height:auto\"\/><noscript><img decoding=\"async\" width=\"882\" height=\"666\" src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-177.png\" alt=\"\" class=\"wp-image-1201 lazyload\" style=\"width:498px;height:auto\" srcset=\"https:\/\/remoooo.com\/wp-content\/uploads\/image-177.png 882w, https:\/\/remoooo.com\/wp-content\/uploads\/image-177-300x227.png 300w, https:\/\/remoooo.com\/wp-content\/uploads\/image-177-768x580.png 768w\" sizes=\"(max-width: 882px) 100vw, 882px\" \/><\/noscript><\/figure>\n\n\n\n<p>XIA[2023]\u7b2c\u516b\u7ae0\u63d0\u5230\uff0c\u5728\u9633\u5149\u4e0b\u53ef\u4ee5\u5f88\u5bb9\u6613\u89c2\u5bdf\u5230Glints\u73b0\u8c61\u3002\u8fd9\u4e9b\u989c\u8272\u6548\u5e94\u867d\u7136\u5728\u8fdc\u8ddd\u79bb\u89c2\u5bdf\u65f6\u663e\u5f97\u5fae\u5999\uff0c\u4f46\u5728\u8fd1\u8ddd\u79bb\u89c2\u5bdf\u65f6\u80fd\u591f\u663e\u8457\u589e\u5f3a\u6bdb\u53d1\u7684\u5916\u89c2\u6548\u679c\uff0c\u6709\u65f6\u8fd8\u4f1a\u5bfc\u81f4\u7ea4\u7ef4\u7684\u8272\u8c03\u53d1\u751f\u8f7b\u5fae\u53d8\u5316\u3002<\/p>\n\n\n\n<p>\u5728\u56fe9\u4e2d\uff0cXIA[2023]\u7684\u6a21\u578b\u5728\u6d45\u8272\u6bdb\u53d1\u4e0a\u4e5f\u80fd\u4ea7\u751f\u5f69\u8272\u95ea\u5149\u6548\u679c\u3002\u76f8\u6bd4\u4e8e\u6df1\u8272\u7ea4\u7ef4\uff0c\u6d45\u8272\u6bdb\u53d1\u7684\u95ea\u5149\u66f4\u52a0\u7ec6\u5fae\uff0c\u56e0\u4e3a\u591a\u6b21\u6563\u5c04\u4f1a\u4f7f\u989c\u8272\u5e73\u5747\u5316\uff0c\u5bfc\u81f4\u989c\u8272\u5bf9\u6bd4\u5ea6\u964d\u4f4e\u3002\u4e0eXIA[2020]\u76f8\u6bd4\uff0cXIA[2023]\u4e0d\u4ec5\u66f4\u597d\u5730\u5904\u7406\u4e86\u6ce2\u957f\u76f8\u5173\u7684\u53cd\u5c04\uff0c\u8fd8\u63d0\u5347\u4e86\u5bf9\u6bdb\u9cde\u7247\u89d2\u5ea6\u7684\u5904\u7406\u80fd\u529b\uff0c\u80fd\u591f\u6355\u6349\u5230\u7531\u6bdb\u9cde\u7247\u503e\u659c\u5f15\u8d77\u7684\u9ad8\u5149\u79fb\u52a8\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">References<\/h3>\n\n\n\n<p>[1] L.-Q. Yan, M. Ha\u0161an, W. Jakob, J. Lawrence, S. Marschner, and R. Ramamoorthi, \u201cRendering glints on high-resolution normal-mapped specular surfaces,\u201d <em>ACM Trans. Graph.<\/em>, vol. 33, no. 4, pp. 1\u20139, Jul. 2014.<\/p>\n\n\n\n<p>[2] L.-Q. Yan, M. Ha\u0161an, S. Marschner, and R. Ramamoorthi, \u201cPosition-normal distributions for efficient rendering of specular microstructure,\u201d <em>ACM Trans. Graph.<\/em>, vol. 35, no. 4, pp. 1\u20139, Jul. 2016.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u5168\u6ce2\u53c2\u8003\u6a21\u62df\u5668<\/h2>\n\n\n\n<p><a href=\"https:\/\/dl.acm.org\/doi\/10.1145\/3592414\">https:\/\/dl.acm.org\/doi\/10.1145\/3592414<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. Intro<\/h3>\n\n\n\n<p>\u8fd9\u7bc7paper\u8ba8\u8bba\u7684\u662f\u6e32\u67d3\u9ed1\u72d7\u6bdb\u8bba\u6587\u300cA Practical Wave Optics Reflection Model for Hair and Fur\u300d\u4e2d\u7528\u6765\u751f\u6210\u9ad8\u7cbe\u5ea6\u5149\u6563\u5c04\u6a21\u62df\u6570\u636e\u7684\u7269\u7406\u6ce2\u6a21\u62df\u4e09\u7ef4\u6ce2\u52a8\u5149\u5b66\u7ea4\u7ef4\u6563\u5c04\u6a21\u62df\u5668\u7684\u7406\u8bba\u57fa\u7840\u3002<\/p>\n\n\n\n<p>\u8ba1\u7b97\u7c97\u7cd9\u8868\u9762\u7684\u5149\u53cd\u5c04\u662f\u4e00\u4e2a\u91cd\u8981\u8bfe\u9898\u3002\u4f8b\u5982\u6bdb\u53d1\u7ea4\u7ef4\u7684\u5fae\u5c0f\u7279\u5f81\u7b49\u5c0f\u5c3a\u5ea6\u7684\u51e0\u4f55\u7ed3\u6784\uff0c\u5bf9\u5149\u7684\u53cd\u5c04\u884c\u4e3a\u6709\u663e\u8457\u5f71\u54cd\u3002BRDF\u63cf\u8ff0\u7684\u662f\u7ed9\u5b9a\u5165\u5c04\u3001\u51fa\u5c04\u65b9\u5411\u8868\u9762\u5982\u4f55\u53cd\u5c04\u5149\u7ebf\u3002\u51e0\u4f55\u5149\u5b66\u7684\u5c40\u9650\u5df2\u7ecf\u91cd\u590d\u591a\u6b21\uff0c\u8fd9\u79cd\u5c06\u5149\u770b\u4f5c\u76f4\u7ebf\u4f20\u64ad\u7684\u6a21\u578b\u5728\u5fae\u89c2\u7ed3\u6784\u4e0e\u5149\u6ce2\u957f\u76f8\u8fd1\u65f6\u5219\u65e0\u6cd5\u6355\u6349\u5230\u5149\u7684\u6ce2\u52a8\u6027\u3002<\/p>\n\n\n\n<p>\u4f7f\u7528\u6ce2\u52a8\u5149\u5b66\u6765\u8fd1\u4f3c\u884d\u5c04\u7684\u7406\u8bba\u6a21\u578b\u6709[Beckmann and Spizzichino 1987]\u7684Beckmann-Kirchhoff theory\uff0c [Krywonos 2006]\u7684Harvey-Shack\u6a21\u578b\u3002\u524d\u8005\u63cf\u8ff0\u7c97\u7cd9\u8868\u9762\u7684\u5149\u53cd\u5c04\u884c\u4e3a\uff0c\u540e\u8005\u5219\u662f\u4e00\u7cfb\u5217\u57fa\u4e8e\u6ce2\u52a8\u5149\u5b66\u7684\u6a21\u578b\uff0c\u66f4\u52a0\u7cbe\u786e\u5730\u63cf\u8ff0\u5149\u5728\u590d\u6742\u8868\u9762\u7684\u6563\u5c04\u884c\u4e3a\u3002<\/p>\n\n\n\n<p>\u73b0\u6709\u7684\u6a21\u578b\u90fd\u662f\u9488\u5bf9\u5927\u9762\u79ef\u8868\u9762\u7684\u5e73\u5747\u53cd\u5c04\u884c\u4e3a\uff0c\u5ffd\u7565\u5c40\u90e8\u7684\u7ec6\u8282\u53d8\u5316\u3002Yan[2016, 2018]\u7684\u5219\u662f\u80fd\u591f\u5728\u7a7a\u95f4\u7684\u4e0d\u540c\u533a\u57df\u6355\u6349\u5fae\u89c2\u7ed3\u6784\u5bf9\u5149\u53cd\u5c04\u7684\u53d8\u5316\u3002\u5373\u4f7f\u662f\u57fa\u4e8e\u7535\u78c1\u6ce2\u4f20\u64ad\u7684\u6a21\u578b\uff0c\u4e5f\u7531\u4e8e\u8ba1\u7b97\u590d\u6742\u6027\uff0c\u4ecd\u7136\u9700\u8981\u8fdb\u884c\u4e00\u5b9a\u7684\u8fd1\u4f3c\u5904\u7406\u3002\u8fd9\u4e9b\u65b9\u6cd5\u5176\u5b9e\u5e76\u4e0d\u662fground truth\u7684\u3002<\/p>\n\n\n\n<p>\u4e3a\u4e86\u51c6\u786e\u6355\u6349\u5e72\u6d89\u6548\u5e94\uff0cXIA[2023]\u76ee\u6807\u5f00\u53d1\u4e00\u4e2a\u53c2\u8003\u6a21\u62df\u5de5\u5177\uff0c\u5fe0\u5b9e\u6309\u7167\u9ea6\u514b\u65af\u97e6\u65b9\u7a0b\u7ec4\u6a21\u62df\u5149\u7684\u4f20\u64ad\u3002\u552f\u4e00\u7684\u8fd1\u4f3c\u4ec5\u662f\u6570\u503c\u79bb\u6563\u5316\uff0c\u6700\u7ec8\u751f\u6210\u4f20\u7edf\u7684\u53cc\u5411\u53cd\u5c04\u5206\u5e03\u51fd\u6570\uff08BRDF\uff09\u4f5c\u4e3a\u8f93\u51fa\u3002<strong>\u800c\u8fd9\u4e2a\u6a21\u62df\u5668\u5219\u662f\u771f\u6b63\u505a\u5230\u4e86ground truth<\/strong>\u3002<\/p>\n\n\n\n<p>\u4e5f\u5c31\u662f\u8bf4\u8fd9\u4e2a\u6a21\u62df\u5668\u80fd\u591f\u51c6\u786e\u6a21\u62df\u5149\u7684\u6ce2\u52a8\u7279\u6027\uff0c\u5305\u62ec\u5e72\u6d89\u3001\u884d\u5c04\u548c\u591a\u91cd\u6563\u5c04\u7b49\u7b49\u3002\u6a21\u62df\u5668\u4e2d\u8fd0\u7528\u5230\u7684\u8fd1\u4f3c\u4e5f\u4ec5\u4ec5\u662f\u7f51\u683c\u5212\u5206\u548c\u6570\u503c\u79ef\u5206\u8bef\u5dee\u3002<\/p>\n\n\n\n<p>\u901a\u8fc7\u9ad8\u7cbe\u5ea6\u7684\u5168\u6ce2\u6a21\u62df\uff0c\u80fd\u591f\u751f\u6210\u5177\u6709<strong>\u9ad8\u89d2\u5ea6\u548c\u7a7a\u95f4\u5206\u8fa8\u7387\u7684BRDF\u6570\u636e<\/strong>\u3002<\/p>\n\n\n\n<p>\u540c\u65f6\uff0c\u6a21\u62df\u5668\u80fd\u591f\u5904\u7406\u5927\u89c4\u6a21\u7684\u8868\u9762\u533a\u57df\uff08\u598260 \u00d7 60 \u00d7 10\u6ce2\u957f\uff09\u3002\u6bd4\u65b9\u8bf4\u4f7f\u7528\u6ce2\u957f\u7ea6500\u7eb3\u7c73\u7684\u53ef\u89c1\u5149\uff0c60\u6ce2\u957f\u5c31\u76f8\u5f53\u4e8e30\u5fae\u7c73\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u6a21\u62df\u5668\u7684\u8ba1\u7b97\u662f\u57fa\u4e8e\u5149\u6ce2\u957f\u5c3a\u5ea6\u8fdb\u884c\u7684\uff0c\u5728\u76f8\u540c\u7684<strong>\u771f\u5b9e\u7269\u7406\u5c3a\u5bf8<\/strong>\u4e0b\uff0c\u4e0d\u540c\u6ce2\u957f\u7684\u5149\u4f1a\u5bf9\u5e94\u4e0d\u540c\u7684\u79bb\u6563\u5316\u5355\u5143\u6570\u91cf\u3002<strong>\u6ce2\u957f\u8d8a\u5927<\/strong>\uff08\u4f8b\u5982\u7ea2\u5149\u7684\u6ce2\u957f\u6bd4\u84dd\u5149\u5927\uff09\uff0c\u5bf9\u4e8e\u540c\u6837\u7684\u7269\u7406\u5c3a\u5bf8\uff0c\u6240\u9700\u7684\u79bb\u6563\u5316\u5355\u5143\uff08\u5982\u7f51\u683c\u5212\u5206\uff09\u5c31\u4f1a<strong>\u76f8\u5bf9\u66f4\u5c11<\/strong>\uff0c\u56e0\u6b64\u5904\u7406\u8d77\u6765\u7684\u8ba1\u7b97\u91cf\u4f1a<strong>\u76f8\u5bf9\u66f4\u5c0f<\/strong>\uff0c\u5904\u7406\u901f\u5ea6\u4e5f\u53ef\u80fd<strong>\u66f4\u5feb<\/strong>\u3002<\/p>\n\n\n\n<p>\u5177\u4f53\u5730\uff0c\u5c06\u8868\u9762\u8868\u793a\u4e3a\u4e00\u4e2a\u9ad8\u5ea6\u573a\uff0c\u6bcf\u4e2a\u7f51\u683c\u70b9\u5bf9\u5e94\u4e00\u4e2a\u9ad8\u5ea6\u503c\uff0c\u4e14\u7528\u56db\u8fb9\u5f62\u4f5c\u4e3a\u57fa\u5143\u3002<\/p>\n\n\n\n<p>\u5bf9\u4e8e\u6563\u5c04\u573a\uff0c\u7528\u8fb9\u754c\u79ef\u5206\u516c\u5f0f\uff08Boundary Integral Formulation\uff09\u5c06\u7535\u78c1\u6ce2\u7684\u6563\u5c04\u95ee\u9898\u8f6c\u5316\u4e3a\u4ec5\u5728\u8868\u9762\u8fb9\u754c\u4e0a\u6c42\u89e3\u7684\u79ef\u5206\u65b9\u7a0b\uff0c\u5173\u952e\u5b9e\u73b0\u65b9\u6cd5\u662f\u8fb9\u754c\u5143\u65b9\u6cd5\uff08BEM\uff09\u3002\u518d\u7528\u57fa\u4e8e\u4e09\u7ef4\u5feb\u901f\u5085\u91cc\u53f6\u53d8\u6362\uff083D FFT\uff09\u7684\u81ea\u9002\u5e94\u79ef\u5206\u65b9\u6cd5\uff08Adaptive Integral Method, AIM\uff09\u52a0\u901f\u8fb9\u754c\u79ef\u5206\u7684\u8ba1\u7b97\u8fc7\u7a0b\u3002<\/p>\n\n\n\n<p>\u5e76\u4e14\u5229\u7528GPU\u52a0\u901f\u5e76\u884c\u5904\u7406\u5927\u89c4\u6a21\u7684\u8868\u9762\u6563\u5c04\u95ee\u9898\u3002<\/p>\n\n\n\n<p>\u5e76\u4e14paper\u4e2d\u91c7\u7528\u4e86\u4e00\u79cd\u7ec4\u5408\u5c0f\u89c4\u6a21\u6a21\u62df\u7ed3\u679c\u6765\u8868\u5f81\u8868\u9762\u53cc\u5411\u6563\u5c04\u884c\u4e3a\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u76f8\u5173\u5de5\u4f5c<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">\u57fa\u4e8e\u6ce2\u52a8\u5149\u5b66\u7684\u53cd\u5c04\u6a21\u578b<\/h4>\n\n\n\n<p>\u8001\u751f\u5e38\u8c08\u7684\u51e0\u4f55\u5149\u5b66 vs \u6ce2\u52a8\u5149\u5b66\u3002\u672c\u6587\u4e3b\u8981\u5bf9\u6bd4\u8868\u9762\u6563\u5c04\u6a21\u578b\u3002\u51e0\u4f55\u5149\u5b66\u7684\u7ecf\u5178\u6a21\u578b\u5305\u62ec\uff1aCook-Torrance\u6a21\u578b [Cook and Torrance 1982]\u3001Oren-Nayar\u6a21\u578b[Michael 1994]\u3002\u6ce2\u52a8\u5149\u5b66\u8fd9\u8fb9\uff0c\u4e3b\u8981\u662f\u7528\u7269\u7406\u5149\u5b66\u8fd1\u4f3c\uff08Physical Optics Approximations\uff09\u6765\u7b80\u5316\u5168\u6ce2\u65b9\u7a0b\u3002\u4e5f\u5c31\u662f\u9ed1\u6bdb\u72d7\u4e2d\u7684\u4e00\u9636\u8fd1\u4f3c\uff08\u5355\u6b21\u6563\u5c04\uff09\u6765\u4f30\u8ba1\u8868\u9762\u53cd\u5c04\u3002\u7ecf\u5178\u6a21\u578b\u5305\u62ec<strong>Beckmann-Kirchoff\u7406\u8bba<\/strong>\u548c<strong>Harvey-Shack\u6a21\u578b<\/strong>\uff0c\u5b83\u4eec\u4f7f\u7528\u6807\u91cf\u5f62\u5f0f\u7684\u8fd1\u4f3c\u65b9\u7a0b\u6765\u6a21\u62df\u6ce2\u52a8\u5149\u5b66\u6548\u5e94\u3002\u5b83\u4eec\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5404\u79cd\u8868\u9762\u7c7b\u578b\u7684\u53cd\u5c04\u4f30\u8ba1\uff0c\u6bd4\u5982<strong>\u9ad8\u65af\u968f\u673a\u8868\u9762<\/strong>\u3001<strong>\u5468\u671f\u6027\u8868\u9762<\/strong>\u7b49\u3002\u4f46\u662f\u8fd9\u4e9b\u65b9\u6cd5\u7684\u8ba1\u7b97\u7ed3\u679c\u5e38\u5e38\u662f\u7a7a\u95f4\u4e0a\u7684\u5e73\u5747\u7ed3\u679c\uff0c\u6ca1\u529e\u6cd5\u8fdb\u884c\u9ad8\u5206\u8fa8\u7387\u7684\u7ec6\u8282\u53cd\u5c04\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>He\u7b49\u4eba\uff081991\uff09\u548cLanari\u7b49\u4eba\uff082017\uff09\u7684\u9ad8\u65af\u968f\u673a\u8868\u9762\u6a21\u578b\u3002<\/li>\n\n\n\n<li>Dhillon\u7b49\u4eba\uff082014\uff09\u3001Stam\uff081999\uff09\u4ee5\u53caToisoul\u548cGhosh\uff082017\uff09\u7684\u5468\u671f\u6027\u8868\u9762\u6a21\u578b\u3002<\/li>\n\n\n\n<li>Levin\u7b49\u4eba\uff082013\uff09\u7684\u591a\u5c42\u5e73\u9762\u8868\u9762\u6a21\u578b\u3002<\/li>\n\n\n\n<li>Dong\u7b49\u4eba\uff082016\uff09\u7684\u8868\u9762\u6570\u636e\u8868\u6a21\u578b\u3002<\/li>\n\n\n\n<li>Werner\u7b49\u4eba\uff082017\uff09\u5bf9\u5212\u75d5\u8868\u9762\u7684\u7814\u7a76\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u6b64\u5916\uff0c\u7269\u7406\u5149\u5b66\u8fd1\u4f3c\u8fd8\u88ab\u7528\u4e8e\u4f30\u8ba1\u67d0\u4e9b\u7279\u6b8a\u8868\u9762\u7684<strong>\u7a7a\u95f4\u53d8\u5316\u5916\u89c2<\/strong>\uff0c\u4f8b\u5982\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Yan\u7b49\u4eba\uff082018\uff09\u7684\u8868\u9762\u6570\u636e\u8868<\/li>\n\n\n\n<li>Steinberg\u548cYan\uff082022\uff09\u7684\u968f\u673a\u8868\u9762\u6a21\u578b\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u4e00\u4e9b\u6df7\u5408\u8868\u9762\u6a21\u578b\u5c06\u7269\u7406\u5149\u5b66\u6a21\u578b\u5e94\u7528\u4e8e\u67d0\u4e9b\u8868\u9762\u6210\u5206\uff08\u4f8b\u5982\u5c0f\u5c3a\u5ea6\u7c97\u7cd9\u5ea6\uff09\uff0c\u800c\u5bf9\u8f83\u5927\u5c3a\u5ea6\u4f7f\u7528\u51e0\u4f55\u5149\u5b66\u6a21\u578b\u3002\u8fd9\u4e9b\u6df7\u5408\u6a21\u578b\u7684\u5e94\u7528\u5305\u62ec\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Falster\u7b49\u4eba\uff082020\uff09\u548cHolzschuch\u4e0ePacanowski\uff082017\uff09\u7684\u8868\u9762\u7c97\u7cd9\u5ea6\u6a21\u578b\u3002<\/li>\n\n\n\n<li>Belcour\u548cBarla\uff082017\uff09\u7684\u8584\u819c\u5e72\u6d89\u6a21\u578b\u3002<\/li>\n\n\n\n<li>Guill\u00e9n\u7b49\u4eba\uff082020\uff09\u7684\u60ac\u6d6e\u9897\u7c92\u6a21\u578b\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u6b64\u5916\uff0c\u7269\u7406\u5149\u5b66\u6a21\u578b\u8fd8\u88ab\u7528\u4e8e\u5904\u7406\u66f4\u957f\u8ddd\u79bb\u7684\u8868\u9762\u95f4\u6548\u5e94\u3002\u4f8b\u5982\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Cuypers\u7b49\u4eba\uff082012\uff09\u548cSteinberg\u7b49\u4eba\uff082022\uff09\u7684\u7814\u7a76\u63a2\u7d22\u4e86\u8fd9\u4e9b\u957f\u7a0b\u6548\u5e94\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u57fa\u4e8e\u6ce2\u52a8\u5149\u5b66\u7684\u6563\u5c04\u65b9\u6cd5\uff0c\u5982<strong>Lorenz-Mie\u7406\u8bba<\/strong>\u548c<strong>T\u77e9\u9635\u6cd5<\/strong>\uff0c\u4e5f\u88ab\u7528\u4e8e<strong>\u4f53\u79ef\u6563\u5c04<\/strong>\u7684\u8ba1\u7b97\uff0c\u4f8b\u5982\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Bohren\u548cHuffman\uff082008\uff09\u53caMishchenko\u7b49\u4eba\uff082002\uff09\u7684\u7406\u8bba\u3002<\/li>\n\n\n\n<li>Frisvad\u7b49\u4eba\uff082007\uff09\u548cGuo\u7b49\u4eba\uff082021\uff09\u7684\u4f53\u79ef\u6563\u5c04\u5e94\u7528\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u6b64\u5916\uff0cSadeghi\u7b49\u4eba\uff082012\uff09\u548cShimada\u4e0eKawaguchi\uff082005\uff09\u63d0\u51fa\u7684\u590d\u6742\u503c\u5149\u7ebf\u8ffd\u8e2a\u6280\u672f\u88ab\u5e94\u7528\u4e8e\u6e32\u67d3\u81ea\u7136\u73b0\u8c61\u548c\u7ed3\u6784\u8272\u6548\u5e94\u3002\u7136\u800c\uff0c<strong>\u8868\u9762\u95f4\u7684\u957f\u7a0b\u6548\u5e94<\/strong>\u548c<strong>\u4f53\u79ef\u6563\u5c04<\/strong>\u7b49\u95ee\u9898\u76ee\u524d\u8d85\u51fa\u4e86\u672c\u7814\u7a76\u7684\u8303\u56f4\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u8ba1\u7b97\u7535\u78c1\u5b66\uff08CEM\uff09\u7684\u6570\u503c\u8ba1\u7b97\u65b9\u6cd5<\/h4>\n\n\n\n<p>\u6570\u503c\u8ba1\u7b97\u6709\u5f88\u591a\u65b9\u6cd5\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Oskooi\u7b49\u4eba\uff082010\uff09\u63d0\u51fa\u4e86\u57fa\u4e8e\u5dee\u5206\u6c42\u89e3\u9ea6\u514b\u65af\u97e6\u65b9\u7a0b\u7ec4\u7684\u6570\u503c\u65b9\u6cd5<strong>\u6709\u9650\u5dee\u5206\u65f6\u57df\u6cd5\uff08FDTD\uff09<\/strong>\u3002FDTD\u5df2\u7ecf\u88ab\u7528\u4e8e\u9884\u6d4b\u6ce2\u957f\u5c3a\u5ea6\u7ed3\u6784\u7684\u5916\u89c2\uff08\u5982Auzinger\u7b49\u4eba\uff082018\uff09\uff0cMusbach\u7b49\u4eba\uff082013\uff09\u7684\u7814\u7a76\uff09\u3002\u4f46\u662f\u968f\u7740\u6a21\u62df\u533a\u57df\u589e\u52a0\uff0c\u5f00\u9500\u76f8\u5f53\u5927\uff01<\/li>\n\n\n\n<li><strong>\u6709\u9650\u5143\u6cd5\uff08FEM\uff09<\/strong>\u662f\u4e00\u79cd\u5e7f\u6cdb\u7528\u4e8e\u6c42\u89e3\u504f\u5fae\u5206\u65b9\u7a0b\u7684\u6570\u503c\u65b9\u6cd5\uff0c\u4e5f\u53ef\u4ee5\u7528\u4e8e\u7535\u78c1\u5b66\u95ee\u9898\u4e2d\u3002\u5b83\u901a\u8fc7\u5bf9\u6a21\u62df\u57df\u7684\u4e09\u7ef4\u79bb\u6563\u5316\u6765\u89e3\u51b3\u95ee\u9898\u3002\u4e0eFDTD\u7c7b\u4f3c\uff0c\u8ba1\u7b97\u91cf\u592a\u5927\uff0c\u66f4\u52a0\u4e0d\u7528\u8bf4\u7528\u4e8e\u5b9e\u65f6\u6e32\u67d3\u3002<\/li>\n\n\n\n<li>Gibson\uff082021\uff09\u8be6\u7ec6\u4ecb\u7ecd\u4e86<strong>\u8fb9\u754c\u5143\u6cd5\uff08BEM\uff09<\/strong>\u3002BEM\u7684\u4e3b\u8981\u4f18\u52bf\u5728\u4e8e\uff0c\u5b83\u901a\u8fc7\u5c06\u6563\u5c04\u95ee\u9898\u8f6c\u5316\u4e3a\u7269\u4f53\u8868\u9762\u7684\u79ef\u5206\u65b9\u7a0b\uff0c\u964d\u4f4e\u4e86\u79bb\u6563\u5316\u7684\u7ef4\u5ea6\u3002\u5728FDTD\u548cFEM\u4e2d\uff0c\u6574\u4e2a\u4e09\u7ef4\u7a7a\u95f4\u90fd\u9700\u8981\u79bb\u6563\u5316\uff0c\u800cBEM\u53ea\u9700\u8981\u5bf9\u7269\u4f53\u7684\u8868\u9762\u8fdb\u884c\u79bb\u6563\u5316\uff0c\u8fd9\u663e\u8457\u964d\u4f4e\u4e86\u8ba1\u7b97\u7684\u7ef4\u5ea6\u548c\u590d\u6742\u6027\u3002<\/li>\n<\/ul>\n\n\n\n<p><strong>\u8bba\u6587\u9009\u62e9\u4e86BEM<\/strong>\u3002\u4e3b\u8981\u539f\u56e0\u662f\u5176\u62d3\u5c55\u6027\u3002\u6709\u5229\u4e8e\u590d\u6742\u8868\u9762\u7ed3\u6784\u7684\u5904\u7406\u3002<\/p>\n\n\n\n<p>\u52a0\u901fBEM\u6709\u5f88\u591a\u65b9\u6cd5\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Liu\u548cNishimura\uff082006\uff09\uff0cWhite\u548cHead-Gordon\uff081994\uff09\u63d0\u51fa\u7684<strong>\u5feb\u901f\u591a\u6781\u5b50\u6cd5\uff08FMM\uff09<\/strong>\u3002<\/li>\n\n\n\n<li>Bleszynski\u7b49\u4eba\uff081996\uff09\u63d0\u51fa\u7684\u57fa\u4e8e\u4e09\u7ef4\u5feb\u901f\u5085\u91cc\u53f6\u53d8\u6362\uff083D FFT\uff09\u7684<strong>\u81ea\u9002\u5e94\u79ef\u5206\u6cd5\uff08AIM\uff09<\/strong>\u3002<\/li>\n\n\n\n<li>Liao\u7b49\u4eba\uff082016\uff09\uff0cPak\u7b49\u4eba\uff081997\uff09\u63d0\u51fa\u7684<strong>\u7a00\u758f\u77e9\u9635\u89c4\u8303\u7f51\u683c\u6cd5\uff08SMCG\uff09<\/strong>\u3002<\/li>\n<\/ul>\n\n\n\n<p><strong>\u8bba\u6587\u9009\u62e9\u4e86AIM<\/strong>\u3002\u539f\u56e0\u662fAIM\u9002\u5408\u5904\u7406\u4e00\u4e2a\u8f74\u5411\u5c3a\u5bf8\u6bd4\u8f83\u5c0f\u7684\u533a\u57df\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7ed3\u679c<\/h3>\n\n\n\n<p>BRDF\u503c\u4ee5<strong>\u534a\u7403\u56fe<\/strong>\u7684\u5f62\u5f0f\u663e\u793a\u3002\u4f7f\u7528\u4e86\u6807\u51c6\u7684<strong>\u5149\u8c31\u6570\u636e\u5230XYZ\u5230RGB\u7684\u8f6c\u6362<\/strong>\uff0c\u751f\u6210\u4e86\u5f69\u8272\u7684BRDF\u56fe\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-178-1024x692.png\" alt=\"\" class=\"wp-image-1202 lazyload\"\/><noscript><img decoding=\"async\" width=\"1024\" height=\"692\" src=\"https:\/\/\u80a5\u80a5.com\/wp-content\/uploads\/image-178-1024x692.png\" alt=\"\" class=\"wp-image-1202 lazyload\" srcset=\"https:\/\/remoooo.com\/wp-content\/uploads\/image-178-1024x692.png 1024w, https:\/\/remoooo.com\/wp-content\/uploads\/image-178-300x203.png 300w, 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class=\"wp-block-heading\">\u672a\u6765\u5de5\u4f5c<\/h3>\n\n\n\n<p>\u5f53\u5904\u7406\u66f4\u590d\u6742\u3001<strong>\u7ed3\u6784\u5316\u8868\u9762<\/strong>\u65f6\uff0c\u672c\u6587\u7684\u6a21\u62df\u5668\u80fd\u66f4\u52a0\u7cbe\u786e\u5730\u6a21\u62df\u5149\u5728\u8868\u9762\u4e0a\u7684\u4f20\u64ad\u548c\u6563\u5c04\u884c\u4e3a\u3002<\/p>\n\n\n\n<p>\u672a\u6765\u5de5\u4f5c\u65b9\u5411\u5f53\u7136\u5c31\u662f\u964d\u4f4e\u8ba1\u7b97\u5f00\u9500\uff0c\u540c\u65f6\u4fdd\u8bc1\u7cbe\u5ea6\u3002<\/p>\n\n\n\n<p>\u7136\u540e\u5c06\u8fd9\u4e2aBRDF\u7684\u8fd1\u4f3c\u6a21\u578b\u7684\u5904\u7406\u9762\u79ef\u6269\u5927\u3002<\/p>\n\n\n\n<p>\u540c\u65f6\uff0c\u8be5\u8bba\u6587\u7684\u6a21\u62df\u5668\u53ef\u4ee5\u4f5c\u4e3a\u4e00\u4e2a\u57fa\u51c6\u53c2\u8003\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">References<\/h3>\n\n\n\n<p><strong>A Full-Wave Reference Simulator for Computing Surface Reflectance<\/strong><\/p>\n\n\n\n<p>Petr Beckmann and Andre Spizzichino. 1987. The scattering of electromagnetic waves from rough surfaces. Artech House.<\/p>\n\n\n\n<p>Andrey Krywonos. 2006. Predicting Surface Scatter using a Linear Systems Formulation of Non-Paraxial Scalar Diffraction. Ph. D. Dissertation. University of Central Florida.<\/p>\n\n\n\n<p>Ling-Qi Yan, Milo\u0161 Ha\u0161an, Bruce Walter, Steve Marschner, and Ravi Ramamoorthi. 2018. Rendering Specular Microgeometry with Wave Optics. ACM Trans. Graph. 37, 4 (2018).<\/p>\n\n\n\n<p>Ling-Qi Yan, Milo\u0161 Ha\u0161an, Steve Marschner, and Ravi Ramamoorthi. 2016. Positionnormal distributions for efficient rendering of specular microstructure. ACM Transactions on Graphics (TOG) 35, 4 (2016), 1\u20139.<\/p>\n\n\n\n<p>R. L. Cook and K. E. Torrance. 1982. A Reflectance Model for Computer Graphics. ACM Trans. Graph. 1, 1 (jan 1982). <a href=\"https:\/\/doi.org\/10.1145\/357290.357293\">https:\/\/doi.org\/10.1145\/357290.357293<\/a><\/p>\n\n\n\n<p>Michael Oren and Shree K. Nayar. 1994. Generalization of Lambert\u2019s Reflectance Model (SIGGRAPH \u201994). <a href=\"https:\/\/doi.org\/10.1145\/192161.192213\">https:\/\/doi.org\/10.1145\/192161.192213<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u539f\u6587\uff1ahttps:\/\/zhuanlan.zhihu.com\/p\/776529221 \u6bdb\u53d1\u6e32\u67d3\u7814\u7a76\u5386\u53f2\u6f14\u53d8 \u57281 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1198,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[53],"tags":[56,57,58],"class_list":["post-1187","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tech","tag-cg","tag-hair-rendering","tag-wave-optics"],"_links":{"self":[{"href":"https:\/\/remoooo.com\/en\/wp-json\/wp\/v2\/posts\/1187","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/remoooo.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/remoooo.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/remoooo.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/remoooo.com\/en\/wp-json\/wp\/v2\/comments?post=1187"}],"version-history":[{"count":3,"href":"https:\/\/remoooo.com\/en\/wp-json\/wp\/v2\/posts\/1187\/revisions"}],"predecessor-version":[{"id":1693,"href":"https:\/\/remoooo.com\/en\/wp-json\/wp\/v2\/posts\/1187\/revisions\/1693"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/remoooo.com\/en\/wp-json\/wp\/v2\/media\/1198"}],"wp:attachment":[{"href":"https:\/\/remoooo.com\/en\/wp-json\/wp\/v2\/media?parent=1187"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/remoooo.com\/en\/wp-json\/wp\/v2\/categories?post=1187"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/remoooo.com\/en\/wp-json\/wp\/v2\/tags?post=1187"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}