{"id":9056,"date":"2022-10-25T16:17:46","date_gmt":"2022-10-25T08:17:46","guid":{"rendered":"http:\/\/139.9.1.231\/?p=9056"},"modified":"2023-01-30T15:30:23","modified_gmt":"2023-01-30T07:30:23","slug":"nerfnet","status":"publish","type":"post","link":"http:\/\/139.9.1.231\/index.php\/2022\/10\/25\/nerfnet\/","title":{"rendered":"NeRF\uff1a\u7c7b\u795e\u7ecf\u7f51\u8def\u5728View Synthesis\u7684\u70ed\u95e8\u65b0\u65b9\u5411"},"content":{"rendered":"\n<blockquote class=\"wp-block-quote\"><p>\u9879\u76ee\u4e3b\u9875\uff1a<a href=\"https:\/\/www.matthewtancik.com\/nerf\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/www.matthewtancik.com\/nerf<\/a><\/p><cite>\u8bba\u6587\u5730\u5740\uff1a <a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/2003.08934\" target=\"_blank\">https:\/\/arxiv.org\/abs\/2003.08934<\/a> &nbsp;<br>code\uff1a<a rel=\"noreferrer noopener\" href=\"https:\/\/github.com\/bmild\/nerf\" target=\"_blank\">https:\/\/github.com\/bmild\/nerf<\/a> <a href=\"https:\/\/github.com\/yenchenlin\/nerf-pytorch\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/github.com\/yenchenlin\/nerf-pytorch<\/a><br>ECCV 2020 (Oral Presentation, Best Paper Honorable Mention)<\/cite><\/blockquote>\n\n\n\n<p class=\"has-text-align-center has-bright-blue-background-color has-background\"><a href=\"https:\/\/zhuanlan.zhihu.com\/p\/390848839\" target=\"_blank\" rel=\"noreferrer noopener\">NeRF\uff1a\u7528\u6df1\u5ea6\u5b66\u4e60\u5b8c\u62103D\u6e32\u67d3\u4efb\u52a1\u7684\u8e7f\u7ea2<\/a><\/p>\n\n\n\n<p><em>\u6587\u7ae0\u96be\u5ea6\uff1a\u2605\u2605\u2605\u2605\u2606<\/em><br><em>\u9605\u8bfb\u5efa\u8bae\uff1a \u8fd9\u7bc7\u6587\u7ae0\u5c3d\u91cf\u6df1\u5165\u6d45\u51fa\u5730\u4ecb\u7ecd NeRF\uff0c\u8fd9\u4e2a\u8fd1\u671f deep learning\u7684\u70ed\u95e8\u65b0\u5ba0\u513f\u3002 NeRF\u56e0\u4e3a\u7275\u626f\u5230\u8bb8\u591a rendering\u4e0e\u673a\u7387\u7684\u8bbe\u8ba1\uff0c\u6240\u4ee5\u76f4\u63a5\u5543\u8d77\u6765\u662f\u633a\u786c\u7684\u3002\u8fd9\u7bc7\u6587\u7ae0\u4e00\u5f00\u59cb\u4f1a\u5148\u7b80\u5355\u5730\u4ecb\u7ecd NeRF\u4ee5\u53ca Volume Rendering\u7684\u6982\u5ff5\uff0c\u800c\u540e\u624d\u4f1a\u4e00\u6b65\u4e00\u6b65\u5730\u89e3\u91ca NeRF\u7684\u8fd0\u4f5c\u7ec6\u8282\u4e0e\u8bad\u7ec3\u65b9\u6cd5\u3002\u6700\u540e\u4e5f\u4f1a\u7b80\u5355\u5e26\u8fc7\u51e0\u4e2a\u63a5\u7eed NeRF\u7814\u7a76\u7684\u4f18\u79c0\u65b9\u6cd5\u3002<\/em><br><em>\u63a8\u8350\u80cc\u666f\u77e5\u8bc6\uff1a deep learning, multilayer perceptron (MLP), volume rendering, ray tracing, light field, view synthesis, neural rendering, quadrature, stratified sampling.<\/em><\/p>\n\n\n\n<p>       NeRF \u662f 2020 \u5e74 ECCV \u4e0a\u83b7\u5f97\u6700\u4f73\u8bba\u6587\u8363\u8a89\u63d0\u540d\u7684\u5de5\u4f5c\uff0c\u5176\u5f71\u54cd\u529b\u662f\u5341\u5206\u5de8\u5927\u7684\u3002NeRF \u5c06\u9690\u5f0f\u8868\u8fbe\u63a8\u4e0a\u4e86\u4e00\u4e2a\u65b0\u7684\u9ad8\u5ea6\uff0c\u4ec5\u7528 2D \u7684 posed images \u4f5c\u4e3a\u76d1\u7763\uff0c\u5373\u53ef\u8868\u793a\u590d\u6742\u7684\u4e09\u7ef4\u573a\u666f\uff0c\u5728\u65b0\u89c6\u89d2\u5408\u6210\u8fd9\u4e00\u4efb\u52a1\u4e0a\u7684\u8868\u73b0\u662f\u975e\u5e38 impressive \u7684\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"304\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/10\/image-46-1024x304.png\" alt=\"\" class=\"wp-image-9127\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/10\/image-46-1024x304.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/10\/image-46-300x89.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/10\/image-46-768x228.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/10\/image-46.png 1501w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u95ee\u98981\uff1a3D\u6e32\u67d3\u662f\u8981\u5e72\u4ec0\u4e48\uff1f<\/p>\n\n\n\n<p>         \u7528\u7167\u76f8\u673a\u62cd\u7167\u662f\u4e00\u4e2a\u73b0\u5b9e\u4e16\u754c\u7684\u7269\u7406\u8fc7\u7a0b\uff0c\u4e3b\u8981\u662f\u5149\u5b66\u8fc7\u7a0b\uff0c\u62cd\u7167\u5bf9\u8c61\u662f\u73b0\u5b9e\u4e16\u754c\u4e2d\u771f\u5b9e\u7684\u4e07\u4e8b\u4e07\u7269\uff0c\u5f62\u6210\u7167\u7247\u7684\u673a\u5236\u4e3b\u8981\u5c31\u662f\uff1a\u5149\u7ecf\u8fc7\u955c\u5934\uff0c\u5230\u8fbe\u4f20\u611f\u5668\uff0c\u88ab\u8bb0\u5f55\u4e0b\u6765\u3002<\/p>\n\n\n\n<p>\u6e32\u67d3\u5c31\u662f<strong>\u7528\u8ba1\u7b97\u673a\u6a21\u62df\u8fd9\u4e00\u8fc7\u7a0b<\/strong>\uff0c\u6a21\u62df\u201c\u62cd\u7167\u201d\u7684\u5bf9\u8c61\u662f\u5df2\u5b58\u5728\u7684\u67d0\u79cd\u4e09\u7ef4\u573a\u666f\u8868\u793a\uff083D representation of the scene\uff09\uff0c\u6a21\u62df\u751f\u6210\u7167\u7247\u7684\u673a\u5236\u662f\u56fe\u5f62\u5b66\u7814\u7a76\u4eba\u5458\u7cbe\u5fc3\u8bbe\u8ba1\u7684\u7b97\u6cd5\u3002<\/p>\n\n\n\n<p>\u5173\u952e\u524d\u63d0\uff1a\u6e32\u67d3\u7684\u524d\u63d0\u662f\u67d0\u79cd\u4e09\u7ef4\u573a\u666f\u8868\u793a\u5df2\u7ecf\u5b58\u5728\u3002\u6e32\u67d3\u4e00\u8bcd\u672c\u8eab\u4e0d\u5305\u529e\u751f\u6210\u4e09\u7ef4\u573a\u666f\u8868\u793a\u3002\u4e0d\u8fc7\uff0c\u6e32\u67d3\u7684\u786e\u4e0e\u4e09\u7ef4\u573a\u666f\u8868\u793a\u7684\u5f62\u5f0f\u606f\u606f\u76f8\u5173\uff1b\u56e0\u6b64\u7814\u7a76\u6e32\u67d3\u7684\u5de5\u4f5c\u901a\u5e38\u5305\u542b\u5bf9\u4e09\u7ef4\u573a\u666f\u8868\u793a\u7684\u63a2\u8ba8\u3002<\/p>\n\n\n\n<ul><li>\u95ee\u98982\uff1a3D\u6e32\u67d3\u662f\u56fe\u5f62\u5b66\u95ee\u9898\uff0c\u90a3\u4e48\u539f\u5148\u5927\u5bb6\u662f\u7528\u4ec0\u4e48\u4f20\u7edf\u56fe\u5f62\u5b66\u65b9\u6cd5\u5b9e\u73b03D\u6e32\u67d3\u7684\u5462\uff1f<\/li><\/ul>\n\n\n\n<p>\u4e3b\u8981\u6709\u4e24\u79cd\u7b97\u6cd5\uff1a\u5149\u6805\u5316\uff08rasterization\uff09\uff0c\u5149\u7ebf\u8ffd\u8e2a\uff08ray tracing\uff09\uff1b\u90fd\u662f\u5bf9\u7167\u76f8\u673a\u62cd\u7167\u7684\u5149\u5b66\u8fc7\u7a0b\u8fdb\u884c\u6570\u5b66\u7269\u7406\u5efa\u6a21\u6765\u5b9e\u73b0\u7684<\/p>\n\n\n\n<h1 id=\"7d6a\">Quick Overview: Neural Radiance Fields (NeRF)<\/h1>\n\n\n\n<p>    NeRF\u7684\u6838\u5fc3\u7cbe\u795e\u662f\u5c06\u7269\u4f53\u4e0e\u573a\u666f\u7684\u4fe1\u606f\uff0c\u7f16\u7801 (encode) \u8fdb MLP (multi-layer perceptron)\u4e2d\u3002\u7136\u540e\u4f7f\u7528 computer graphics\uff08\u8ba1\u7b97\u673a\u56fe\u5f62\u5b66\uff09\u4e2d\u7684 volume rendering\uff08\u7acb\u4f53\u6e32\u67d3\uff09\u5c06 MLP\u4e2d\u7684\u4fe1\u606f\u6295\u5f71\u51fa\u6765\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"248\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/10\/image-47-1024x248.png\" alt=\"\" class=\"wp-image-9143\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/10\/image-47-1024x248.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/10\/image-47-300x73.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/10\/image-47-768x186.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/10\/image-47.png 1441w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>  \u5728\u8bad\u7ec3\u7684\u90e8\u5206\uff0c&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/arxiv.org\/abs\/2003.08934\" target=\"_blank\">NeRF<\/a>&nbsp;\u6240\u9700\u8981\u7684\u662f\u67d0\u4e2a\u7269\u4f53\u4e0e\u573a\u666f\u7684 multi-view\u591a\u89c6\u89d2\u5f71\u50cf\uff0c\u5229\u7528\u8fd9\u4e9b\u5f71\u50cf\u6765\u8bad\u7ec3NeRF\uff0c\u6216\u8005\u66f4\u76f4\u63a5\u5730\u8bf4\uff0c<strong>\u5c06\u4fe1\u606f encode\u8fdb NeRF\u3002\u4e4b\u540e\u5c31\u53ef\u4ee5\u5bf9\u8fd9\u4e2a\u7269\u4f53\u4e0e\u573a\u666f render\u51fa\u8fde\u7eed\u3001\u4e0d\u5b58\u5728\u4e8e\u539f\u59cb\u4fe1\u606f\u7684\u89c6\u89d2<\/strong>\u3002<\/p>\n\n\n\n<p>NeRF\u6574\u4f53\u7684\u7ed3\u679c\u975e\u5e38\u4ee4\u4eba\u60ca\u8273\uff0c\u7279\u522b\u662f\u5728\u91d1\u5c5e\u6216\u6709\u5149\u6cfd\u7269\u4f53\u7684\u7ed3\u679c\uff0c\u89c6\u89c9\u7684\u771f\u5b9e\u6027\u771f\u7684\u975e\u5e38\u9ad8\u3002\u53ef\u4ee5\u53c2\u8003\u4ee5\u4e0b\u7684\u56fe\u7247\uff0c\u6216\u8005\u76f4\u63a5\u5230<a rel=\"noreferrer noopener\" href=\"https:\/\/www.matthewtancik.com\/nerf\" target=\"_blank\">\u5b98\u65b9\u7684\u9875\u9762<\/a>\u770b\u5f71\u7247\u4f1a\u66f4\u6709\u611f\u89c9\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"662\" height=\"198\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/10\/image-48.png\" alt=\"\" class=\"wp-image-9154\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/10\/image-48.png 662w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/10\/image-48-300x90.png 300w\" sizes=\"(max-width: 662px) 100vw, 662px\" \/><\/figure>\n\n\n\n<p>\u4e0d\u8fc7\u5982\u679c\u5bf9\u4e8e\u6ca1\u6709 rendering\u76f8\u5173\u77e5\u8bc6\u7684\u4eba\uff0c\u8981\u76f4\u63a5\u7406\u89e3NeRF\u53ef\u80fd\u4f1a\u6709\u70b9\u969c\u788d\u3002\u56e0\u6b64\uff0c\u63a5\u4e0b\u6765\u4f1a\u5148\u7b80\u5355\u5e26\u4e00\u4e9b\u57fa\u7840\u7684 volume rendering\u4e0e ray tracing\u89c2\u5ff5\uff0c\u518d\u56de\u5934\u53bb\u770b NeRF\u5230\u5e95\u662f\u600e\u4e48\u505a\u7684\u3002<\/p>\n\n\n\n<p id=\"52a2\"><strong>Volume Rendering<\/strong>\uff1a <\/p>\n\n\n\n<p id=\"c9a1\">\u6240\u8c13\u7684&nbsp;<strong>volume rendering (\u7acb\u4f53\u6e32\u67d3) \u6307\u7684\u662f\u5c06 discretely sampled 3D data\u6295\u5f71\u5230 2D\u7684\u6280\u672f<\/strong>\u3002\u50cf\u662f\u4ee5\u4e0b\u8fd9\u5f20\u56fe\u7247\uff0c\u6211\u4eec\u5df2\u77e5\u4e00\u4e2a\u7269\u4f53\u7684\u79bb\u65633D\u4fe1\u606f\uff0c\u5bf9\u4e8e\u76ee\u524d\u7684\u89c6\u89d2\uff0c\u5c31\u53ef\u4ee5\u52a8\u6001\u5730\u6e32\u67d3\u51fa\u8fd9\u4e2a\u89c6\u89d2\u770b\u5230\u7684\u753b\u9762\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" src=\"https:\/\/miro.medium.com\/max\/533\/0*nTnYOHUFwR2VK31u.gif\" alt=\"\" width=\"267\" height=\"270\"\/><figcaption>\u4f7f\u7528shear warp algorithm\u505avolume rendering\u7684\u4f8b\u5b50\u3002<a href=\"https:\/\/en.wikipedia.org\/wiki\/Volume_rendering\" rel=\"noreferrer noopener\" target=\"_blank\">(\u8d44\u6599\u6765\u6e90)<\/a><\/figcaption><\/figure><\/div>\n\n\n\n<p id=\"1cef\"><strong>Ray Tracing<\/strong><\/p>\n\n\n\n<p id=\"dcb1\">      \u800c\u5728 rendering\u4e0a\u5176\u4e2d\u4e00\u4e2a\u5b9e\u4f5c\u65b9\u6cd5\u662f ray tracing\u3002 \u8fd9\u4e2a\u65b9\u6cd5\u53ef\u4ee5\u7528\u773c\u775b\u770b\u7269\u4f53\u6765\u89e3\u91ca\u3002\u6211\u4eec\u773c\u775b\u4e4b\u6240\u4ee5\u770b\u7684\u5230\u7269\u4f53\uff0c\u662f\u56e0\u4e3a\u6709\u5149\u6e90\u6253\u5230\u4e86\u7269\u4f53\uff0c\u7136\u540e\u53cd\u5c04\u8fdb\u6211\u4eec\u7684\u773c\u775b\u3002\u800cRay tracing\u7684\u60f3\u6cd5\u5176\u5b9e\u5c31\u662f\u53cd\u63a8\u8fd9\u4e2a\u5c04\u7ebf (ray)\uff0c\u4ece\u76f8\u673a\u4e2d\u5fc3\u53d1\u51fa\u5c04\u7ebf\uff0c\u4e0e\u7269\u4f53\u76f8\u4ea4\u5c31\u6839\u636e\u89c4\u5219\u53cd\u5c04\u3001\u6298\u5c04\u6216\u5438\u6536\uff0c\u76f4\u5230\u9047\u5230\u5149\u6e90\u6216\u8005\u8d70\u592a\u8fdc\u505c\u4f4f\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" src=\"https:\/\/miro.medium.com\/max\/700\/0*XMI8XREJpa1SyCxD.png\" alt=\"\" width=\"430\" height=\"285\"\/><figcaption>Ray tracing\u7684\u65b9\u6cd5\u793a\u610f\u56fe&nbsp;<a href=\"https:\/\/en.wikipedia.org\/wiki\/Ray_tracing_(graphics)#\/media\/File:Ray_trace_diagram.svg\" rel=\"noreferrer noopener\" target=\"_blank\">(\u8d44\u6599\u6765\u6e90)<\/a><\/figcaption><\/figure><\/div>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>\u603b\u4e4b\uff0c ray tracing\u5c31\u662f\u501f\u7531\u8fd9\u4e2a\u6982\u5ff5\u7b97\u51fa\u5728 image\u5e73\u9762\u4e0a\u7684 2D\u6295\u5f71\u8be5\u957f\u4ec0\u4e48\u6837\u5b50\u3002\u5b9e\u9645\u4e0a\u8fd9\u8fb9\u7684\u540d\u8bcd\u86ee\u590d\u6742\u7684 (\u81f3\u5c11\u5bf9\u975e\u56fe\u5b66\u51fa\u8eab\u7684\u7b14\u8005\u6765\u8bf4)\uff0c\u50cf\u662f ray tracing\u3001 ray casting\u3001 ray marching\u4ec0\u4e48\u7684\u3002\u4e3a\u4e86\u907f\u514d\u6df7\u6dc6\u89c6\u542c\uff0c\u8fd9\u8fb9\u5c31\u5148\u4e0d\u89e3\u91ca\u8fc7\u591a\u4e86\u3002<\/p><\/blockquote>\n\n\n\n<p>\u63a5\u4e0b\u6765\uff0c\u5c31\u5f00\u59cb\u6b63\u5f0f\u4ecb\u7ecd NeRF\u7684\u7ec6\u8282\u3002<\/p>\n\n\n\n<h1 id=\"c86c\">Neural Radiance Fields (NeRF)-\u795e\u7ecf\u8f90\u5c04\u573a<\/h1>\n\n\n\n<p id=\"1d05\"><strong> <\/strong>     <strong>NeRF\u7f51\u8def\u7684\u8f93\u5165\u662f\u4e00\u7ec4 5D\u7684\u53c2\u6570\uff0c\u5305\u542b\u4e00\u7ec4 3D\u7684 location&nbsp;<\/strong><code><strong>X = (x, y, z)<\/strong><\/code><strong>\u8ddf\u4e00\u7ec4 2D\u7684 view direction&nbsp;<\/strong><code><strong>(\u03b8, \u03c6)<\/strong><\/code>\uff0c\u5b9e\u4e8b\u4e0a\u8fd9\u4e2a view direction\u8868\u793a\u4e3a 3D Cartesian unit vector\uff08\u7b1b\u5361\u5c14\u5355\u4f4d\u77e2\u91cf\uff09\uff0c\u79f0\u4e3a&nbsp;<code>d<\/code>\u3002\u800c<strong>NeRF\u7f51\u8def\u7684\u8f93\u51fa\u5219\u662f\u4e00\u7ec4 emitted color (\u5982RPG\u7684<\/strong><code><strong>c=(r, g, b)<\/strong><\/code><strong>) \u4e0e volume density&nbsp;<\/strong><code><strong>\u03c3<\/strong><\/code>\u3002<\/p>\n\n\n\n<p>\u4ee5\u4e0b\u56fe\u6765\u89e3\u91ca\u4f1a\u66f4\u52a0\u6e05\u695a\u3002\u8fd9\u4e2a 3D location\u6307\u7684\u662f\u5728 3D\u7a7a\u95f4\u4e2d\u7684\u4efb\u4f55\u4e00\u4e2a\u70b9\uff0c\u6bd4\u5982\u8bf4\u602a\u624b\u7684\u5c16\u7aef\uff0c\u800c view direction\u5219\u662f\u8bf4\u6211\u8981\u4ece\u54ea\u4e2a\u89c6\u89d2\u770b\u3002NeRF\u7f51\u8def\u7684\u8f93\u51fa\u5219\u662f\u8fd9\u4e2a 3D\u70b9\u5b9e\u9645 (\u6216\u8005\u8bf4\u63a8\u4f30) \u7684\u989c\u8272\uff0c\u4ee5\u53ca\u63a8\u4f30\u7684<strong> volume density\uff08\u4f53\u79ef\u5bc6\u5ea6\u03c3\uff1a\u53ef\u4ee5\u7b80\u5355\u7406\u89e3\u4e3a\u4e0d\u900f\u660e\u5ea6\uff09\u3002<\/strong><\/p>\n\n\n\n<p class=\"has-light-pink-background-color has-background\">     <strong><em> \u6709\u4e86RGB\u548c\u4f53\u5bc6\u5ea63D\u7269\u4f53\u8868\u793a\uff0c\u5c31\u53ef\u4ee5\u4f7f\u7528 Ray Tracing \u7b493D\u6e32\u67d3\u65b9\u6cd5\u6765\u6e32\u67d3\u51fa\u4efb\u610f\u89c6\u89d2\u76842D\u6295\u5f71\u3002<\/em><\/strong>\uff08Volume rendering\uff09<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/miro.medium.com\/max\/700\/1*hn0Q6uu43g6TtiiwiNPDig.png\" alt=\"\"\/><figcaption>NeRF\u7684\u8fd0\u4f5c\u6982\u5ff5\u3002<a href=\"https:\/\/arxiv.org\/abs\/2003.08934\" rel=\"noreferrer noopener\" target=\"_blank\">(\u8d44\u6599\u6765\u6e90)<\/a><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"653\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/11\/image-79-1024x653.png\" alt=\"\" class=\"wp-image-10333\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/11\/image-79-1024x653.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/11\/image-79-300x191.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/11\/image-79-768x490.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/11\/image-79.png 1061w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>Radiance Fields\uff0c\u6216\u8005\u8bf4\u6620\u5c04&nbsp;g\u03b8&nbsp;\uff0c\u80fd\u5bf9\u4e09\u7ef4\u573a\u666f\u8fdb\u884c\u9690\u5f0f\u8868\u793a\uff08implicit scene representation\uff09\u3002\u5728\u4e0a\u4e00\u8282\uff0c\u6211\u4eec\u8bf4\u8fc7\u67d0\u79cd\u4e09\u7ef4\u573a\u666f\u8868\u793a\u6b63\u662f\u6e32\u67d3\u7684\u524d\u63d0\u3002\u5b9e\u73b0\u6e32\u67d3\u4e5f\u662f \u4f5c\u8005\u63d0\u51faRadiance Fields\u8fd9\u4e00\u65b0\u578b\u4e09\u7ef4\u573a\u666f\u8868\u793a\u65b9\u6cd5 \u7684\u76ee\u7684\u6240\u5728\u3002<\/p>\n\n\n\n<h3>NEeRF\u8f93\u5165\u6570\u636e\u51c6\u5907\uff08\u5c06\u4e00\u7cfb\u5217\u76842d\u56fe\u7247\u8f6c\u6210\u7f51\u7edc\u6240\u9700\u7684\u8f93\u5165\uff09\uff1a<\/h3>\n\n\n\n<h4 id=\"h_495652881_2\">\u591a\u89c6\u89d22D\u56fe\u50cf\u51c6\u5907<\/h4>\n\n\n\n<p>    \u60f3\u8981\u5229\u7528NeRF\u62df\u5408\u81ea\u5df1\u62cd\u6444\u76843D\u573a\u666f\uff0c\u9996\u5148\u9700\u8981\u51c6\u5907\u591a\u5f20\u4ece\u4e0d\u540c\u89d2\u5ea6\u62cd\u6444\u7684\u540c\u573a\u666f\u9759\u60012D\u56fe\u50cf\uff0c\u4ee5\u6c99\u53d1\u4e3a\u4f8b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic1.zhimg.com\/v2-daaa7e224955318c38865aecce863278_r.jpg\" alt=\"\"\/><figcaption>\u6c99\u53d1\u591a\u89c6\u56fe<\/figcaption><\/figure>\n\n\n\n<h4 id=\"h_495652881_3\">\u76f8\u673a\u5185\u5916\u53c2\u4f30\u8ba1<\/h4>\n\n\n\n<p>     \u4e0d\u8fc7\u4ec5\u4ec5\u67092D\u591a\u89c6\u56fe\u8fd8\u4e0d\u591f\uff0c\u5728\u91cd\u5efa\u9636\u6bb5\uff0c\u6211\u4eec\u8fd8\u9700\u8981\u5404\u4e2a\u70b9\u7684\u4f4d\u7f6e&nbsp;x={x,y,z}&nbsp;\u548c\u65b9\u4f4d&nbsp;d={\u03b8,\u03d5}&nbsp;\u4f5c\u4e3a\u8f93\u5165\u8fdb\u884c\u91cd\u5efa\u3002\u4e3a\u4e86\u83b7\u5f97\u8fd9\u4e9b\u6570\u636e\uff0cNeRF\u4e2d\u91c7\u7528\u4e86\u4f20\u7edf\u65b9\u6cd5COLMAP\u8fdb\u884c\u53c2\u6570\u4f30\u8ba1\u3002\u8fd8\u662f\u4ee5\u6c99\u53d1\u4e3a\u4f8b\uff0c\u901a\u8fc7COLMAP\u53ef\u4ee5\u5f97\u5230\u573a\u666f\u7684\u7a00\u758f\u91cd\u5efa\u7ed3\u679c\uff0c\u5176\u8f93\u51fa\u6587\u4ef6\u5305\u62ec\u76f8\u673a\u5185\u53c2\uff0c\u76f8\u673a\u5916\u53c2\u548c3D\u70b9\u7684\u4fe1\u606f\uff0c\u7136\u540e\u8fdb\u4e00\u6b65\u5229\u7528LLFF\u5f00\u6e90\u4ee3\u7801\u4e2d\u7684<a rel=\"noreferrer noopener\" href=\"https:\/\/github.com\/Fyusion\/LLFF\/blob\/master\/imgs2poses.py\" target=\"_blank\">imgs2poses<\/a>\u6587\u4ef6\u5c06\u5185\u5916\u53c2\u6574\u5408\u5230\u4e00\u4e2a\u6587\u4ef6poses_boudns.npy\u4e2d\uff0c\u8be5\u6587\u4ef6\u8bb0\u5f55\u4e86\u76f8\u673a\u7684\u5185\u53c2,\u5305\u62ec\u56fe\u7247\u5206\u8fa8\u7387\uff08\u56fe\u7247\u9ad8\u4e0e\u5bbd\u5ea6\uff09\u3001\u7126\u8ddd\uff0c\u51713\u4e2a\u7ef4\u5ea6\u3001\u5916\u53c2\uff08\u5305\u62ec\u76f8\u673a\u5750\u6807\u5230\u4e16\u754c\u5750\u6807\u8f6c\u6362\u7684\u5e73\u79fb\u77e9\u9635&nbsp;t&nbsp;\u4e0e\u65cb\u8f6c\u77e9\u9635&nbsp;R\uff0c\u5176\u4e2d\u65cb\u8f6c\u77e9\u9635\u4e3a&nbsp;R\u2208R3\u00d73&nbsp;\u7684\u77e9\u9635\uff0c\u51719\u4e2a\u7ef4\u5ea6\uff0c\u5e73\u79fb\u77e9\u9635\u4e3a&nbsp;t\u2208R3\u00d71&nbsp;\u7684\u77e9\u9635\uff0c3\u4e2a\u7ef4\u5ea6\uff0c\u56e0\u6b64\u8be5\u6587\u4ef6\u4e2d\u7684\u6570\u636e\u7ef4\u5ea6\u4e3a&nbsp;N\u00d717&nbsp;\uff08\u53e6\u6709\u4e24\u4e2a\u7ef4\u5ea6\u4e3a\u5149\u7ebf\u7684\u59cb\u53d1\u6df1\u5ea6\u4e0e\u7ec8\u6b62\u6df1\u5ea6\uff0c\u901a\u8fc7COLMAP\u8f93\u51fa\u76843D\u70b9\u4f4d\u7f6e\u8ba1\u7b97\u5f97\u5230\uff09\uff0c\u5176\u4e2dN\u4e3a\u56fe\u7247\u6837\u672c\u6570\u3002<\/p>\n\n\n\n<p>      ps: \u8fd9\u91cc\u5efa\u8bae\u5c06nerf-pytorch\u4e2d\u52a0\u8f7dposes_boudns.npy\u6570\u636e\u4e2d\u7684\u4ee3\u7801\u4e0e<a rel=\"noreferrer noopener\" href=\"https:\/\/github.com\/Fyusion\/LLFF\/blob\/master\/imgs2poses.py\" target=\"_blank\">imgs2poses<\/a>\u4e2d\u4fdd\u5b58poses_boudns.npy\u7684\u4ee3\u7801\u5bf9\u7740\u770b\u4e00\u904d\uff0c\u5c31\u53ef\u4ee5\u7406\u89e3\u52a0\u8f7d\u65f6\u4e3a\u4ec0\u4e48\u8981\u641e\u4e00\u4e9b\u5947\u602a\u7684\u7ef4\u5ea6\u53d8\u6362\u7b49\u64cd\u4f5c\u4e86\u3002<\/p>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/11\/1496137886881345536.mp4\"><\/video><figcaption>DCOLMAP\u91cd\u5efa\u7ed3\u679c<\/figcaption><\/figure>\n\n\n\n<h4 id=\"h_495652881_4\">Raw\u6570\u636e\u5230MPL\u7684\u8f93\u5165<\/h4>\n\n\n\n<h5 id=\"h_495652881_5\">\u8f93\u5165\u751f\u6210\u4e0e\u5750\u6807\u7cfb\u53d8\u6362<\/h5>\n\n\n\n<p>       \u5728\u7406\u89e3NeRF\u7684\u8fc7\u7a0b\u4e2d\u6d89\u53ca\u5230\u4e00\u4e2a\u5f88\u91cd\u8981\u7684\u95ee\u9898\uff0c\u5373<strong>\u539f\u6587\u4e2d\u63d0\u5230\u7684MLP\u7684\u8f93\u5165&nbsp;x={x,y,z}&nbsp;\u548c&nbsp;d={\u03b8,\u03d5}&nbsp;\u662f\u4ec0\u4e48\uff0c\u5176\u4e0e\u76f8\u673a\u5185\u5916\u53c2\u6709\u4ec0\u4e48\u5173\u7cfb\uff1f<\/strong>\u8981\u641e\u61c2\u8fd9\u4e2a\u95ee\u9898\uff0c\u9700\u8981\u5148\u7406\u89e3<strong>\u5750\u6807\u7cfb\u53d8\u6362<\/strong>\u3002<\/p>\n\n\n\n<p>      \u603b\u7684\u6765\u8bf4\uff0c\u5750\u6807\u53d8\u6362\u7684\u76ee\u7684\u5728\u4e8e\u5c06\u4e0d\u540c\u89c6\u89d2\u4e0b\u89c6\u89d2\u7279\u5b9a\u7684\u5750\u6807\u7cfb\u6295\u5f71\u5230\u4e00\u4e2a\u7edf\u4e00\u7684\u4e16\u754c\u5750\u6807\u4e2d\u8fdb\u884c\u4e09\u7ef4\u91cd\u5efa\uff0c\u89c1<a rel=\"noreferrer noopener\" href=\"https:\/\/github.com\/yenchenlin\/nerf-pytorch\/blob\/master\/run_nerf_helpers.py\" target=\"_blank\">get_rays_np<\/a>\u51fd\u6570\u3002\u9996\u5148\uff0c\u6211\u4eec\u5728\u50cf\u7d20\u5750\u6807\u4e0b\u8fdb\u884c\u7f51\u683c\u70b9\u91c7\u6837\uff0c\u5f97\u5230\u7279\u5b9a\u5206\u8fa8\u7387\u56fe\u50cf\u7684\u5404\u4e2a<strong>\u50cf\u7d20\u70b9\u5750\u6807<\/strong>\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>i, j=np.meshgrid(np.arange(W, dtype=np.float32), np.arange(H, dtype=np.float32), indexing='xy')<\/code><\/pre>\n\n\n\n<p>\u7136\u540e\uff0c\u6211\u4eec\u8fdb\u884c<strong>\u50cf\u7d20\u5750\u6807\u5230\u76f8\u673a\u5750\u6807\u7684\u53d8\u6362<\/strong>\uff0c\u8981\u7406\u89e3\u8fd9\u4e2a\u53d8\u6362\u9700\u8981\u6e05\u695a\u4e24\u4e2a\u70b9\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>dirs=np.stack(&#91;(i-K&#91;0]&#91;2])\/K&#91;0]&#91;0], -(j-K&#91;1]&#91;2])\/K&#91;1]&#91;1], -np.ones_like(i)], -1)<\/code><\/pre>\n\n\n\n<p>\u9996\u5148\u50cf\u7d20\u5750\u6807\u5230\u76f8\u673a\u5750\u6807\u7684\u53d8\u6362\u5c5e\u4e8e\u6295\u5f71\u53d8\u6362\u7684\u9006\u53d8\u6362\uff0c\u53732D\u70b9\u52303D\u7684\u53d8\u5316\uff0c\u5373\u6211\u4eec\u9700\u8981\u6839\u636e\u50cf\u7d20\u70b9\u7684\u5750\u6807&nbsp;(u,v)&nbsp;\u8ba1\u7b97\u8be5\u70b9\u5728\u76f8\u673a\u5750\u6807\u7cfb\u4e0b\u7684\u4e09\u7ef4\u7684\u5750\u6807&nbsp;(X,Y,Z)\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic3.zhimg.com\/v2-f6ec696d03de9511c16219df87c4b63e_r.jpg\" alt=\"\"\/><figcaption>\u50cf\u7d20\u5750\u6807\u5230\u76f8\u673a\u5750\u6807<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"228\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/11\/image-136-1024x228.png\" alt=\"\" class=\"wp-image-10757\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/11\/image-136-1024x228.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/11\/image-136-300x67.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/11\/image-136-768x171.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/11\/image-136.png 1368w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u8fd9\u65f6\u5e05\u6c14\u7684\u5c0f\u4f19\u4f34\u5c31\u53d1\u73b0\u4e86\uff0c<strong>\u4e3a\u4ec0\u4e48\u76f8\u673a\u5750\u6807\u7684&nbsp;Y&nbsp;\u548c&nbsp;Z&nbsp;\u524d\u9762\u6709\u8d1f\u53f7\uff1f<\/strong>\u90a3\u662f\u56e0\u4e3aCOLMAP\u91c7\u7528\u7684\u662fopencv\u5b9a\u4e49\u7684\u76f8\u673a\u5750\u6807\u7cfb\u7edf\uff0c\u5176\u4e2dx\u8f74\u5411\u53f3\uff0cy\u8f74\u5411\u4e0b\uff0cz\u8f74\u5411\u5185\uff1b\u800cNerf pytorch\u91c7\u7528\u7684\u662fOpenGL\u5b9a\u4e49\u7684\u76f8\u673a\u5750\u6807\u7cfb\u7edf\uff0c\u5176\u4e2dx\u8f74\u5411\u53f3\uff0cy\u8f74\u5411\u4e0a\uff0cz\u8f74\u5411\u5916\u3002\u56e0\u6b64\u9700\u8981\u5728y\u4e0ez\u8f74\u8fdb\u884c\u76f8\u53cd\u6570\u8f6c\u6362\u3002<\/p>\n\n\n\n<p>\u6700\u540e\uff0c\u6211\u4eec\u8fdb\u884c<strong>\u76f8\u673a\u5750\u6807\u5230\u4e16\u754c\u5750\u6807\u7684\u8f6c\u6362<\/strong>\u5f97\u5230\u5149\u7ebf\u59cb\u53d1\u70b9\u4e0e\u65b9\u5411\u5411\u91cf\uff0c\u8fd9\u91cc\u9700\u8981\u4e86\u89e3\u4e16\u754c\u5750\u6807\u5230\u76f8\u673a\u5750\u6807\u7684\u53d8\u6362\u8fc7\u7a0b\uff0c\u672c\u8d28\u4e0a\u4e3a\u77e9\u9635\u76f8\u4e58\uff0c\u8981\u8fdb\u884c\u53cd\u5411\u53d8\u5316\u53ea\u9700\u8981\u5bf9\u53d8\u5316\u77e9\u9635\u6c42\u9006\u5373\u53ef\uff08COLMAP\u539f\u8f93\u51fa\u7684\u662f\u4e16\u754c\u5750\u6807\u5230\u76f8\u673a\u5750\u6807\u7684\u65cb\u8f6c\u77e9\u9635\uff0c\u5728LLFF\u7684<a href=\"https:\/\/github.com\/Fyusion\/LLFF\/blob\/master\/imgs2poses.py\" target=\"_blank\" rel=\"noreferrer noopener\">imgs2poses.py<\/a>\u4e2d\u5df2\u7ecf\u8fdb\u884c\u4e86\u6c42\u9006\u64cd\u4f5c\uff09\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>rays_d=np.sum(dirs&#91;..., np.newaxis, :] *c2w&#91;:3,:3], -1)\nrays_o=np.broadcast_to(c2w&#91;:3,-1], np.shape(rays_d))<\/code><\/pre>\n\n\n\n<p>\u9996\u5148\u56e0\u4e3a\u76f8\u673a\u5750\u6807\u4e0e\u4e16\u754c\u5750\u6807\u7684<strong>\u5750\u6807\u539f\u70b9\u4e0d\u4e00\u81f4<\/strong>\uff0c\u8981\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\u53ea\u9700\u8981\u5c06<strong>\u76f8\u673a\u5750\u6807\u8fdb\u884c\u5e73\u79fb\u53d8\u5316\u5373\u53ef\u8fdb\u884c\u5bf9\u9f50\uff0c<\/strong>\u5b9e\u73b0\u5e73\u79fb\u7684\u65b9\u5f0f\u5728\u662f\u4e16\u754c\u5750\u6807\u7cfb\u4e0b\u51cf\u53bb\u4e00\u4e2a\u5e73\u79fb\u77e9\u9635\uff0c\u5373\u76f8\u673a\u5916\u53c2\u4e2d\u7684\u5e73\u79fb\u77e9\u9635&nbsp;t&nbsp;\uff0c\u5bf9\u5e94\u5f97\u5230\u4ee3\u7801\u4e2d\u7684rays_o\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" src=\"https:\/\/pic4.zhimg.com\/v2-74f234c4e3e35a8d4f91575bbd623b8b_r.jpg\" alt=\"\" width=\"496\" height=\"353\"\/><figcaption>\u5e73\u79fb\u4ee5\u5bf9\u9f50\u5750\u6807\u7cfb\u7684\u539f\u70b9<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u6b64\u5916\uff0c\u7531\u4e8e\u76f8\u673a\u5750\u6807\u4e0e\u4e16\u754c\u5750\u6807\u7684<strong>\u5404\u4e2a\u8f74\u7684\u671d\u5411\u4e5f\u662f\u4e0d\u540c\u7684<\/strong>\uff0c\u56e0\u6b64\u9700\u8981\u8fdb\u4e00\u6b65<strong>\u901a\u8fc7\u65cb\u8f6c\u6765\u5bf9\u9f50\u5750\u6807\u8f74\u7684\u671d\u5411\uff0c<\/strong>\u5b9e\u73b0\u65cb\u8f6c\u7684\u65b9\u5f0f\u662f\u5728\u5e73\u79fb\u5bf9\u9f50\u5750\u6807\u539f\u70b9\u4e4b\u540e\u7684\u57fa\u7840\u4e0a\u8fdb\u884c\u65cb\u8f6c\uff0c\u5373\u4e0e\u76f8\u673a\u5916\u53c2\u4e2d\u7684\u65cb\u8f6c\u77e9\u9635&nbsp;R&nbsp;\u505a\u77e9\u9635\u4e58\u6cd5\uff0c\u5bf9\u5e94\u5f97\u5230\u4ee3\u7801\u4e2d\u7684rays_d\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" src=\"https:\/\/pic4.zhimg.com\/v2-50bc2f25548bf89f6dba1c6937aa2ab7_r.jpg\" alt=\"\" width=\"447\" height=\"317\"\/><figcaption>\u65cb\u8f6c\u4ee5\u5bf9\u9f50\u5750\u6807\u8f74\u7684\u671d\u5411<\/figcaption><\/figure><\/div>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"315\" src=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/11\/image-137-1024x315.png\" alt=\"\" class=\"wp-image-10761\" srcset=\"http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/11\/image-137-1024x315.png 1024w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/11\/image-137-300x92.png 300w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/11\/image-137-768x236.png 768w, http:\/\/139.9.1.231\/wp-content\/uploads\/2022\/11\/image-137.png 1334w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u53e6\u9644\uff1aNeRF\u7684\u4ee3\u7801\u4e2d\u5176\u5b9e\u8fd8\u5b58\u5728\u53e6\u5916\u4e00\u4e2a\u5750\u6807\u7cfb\u7edf\uff1a<strong>Normalized device coordinates\uff08ndc\uff09\u5750\u6807\u7cfb<\/strong>\uff0c\u4e00\u822c\u5bf9\u4e8e\u4e00\u4e9bforward facing\u7684\u573a\u666f\uff08\u666f\u6df1\u5f88\u5927\uff09\u4f1a\u9009\u62e9\u8fdb\u4e00\u6b65\u628a\u4e16\u754c\u5750\u6807\u8f6c\u6362\u4e3andc\u5750\u6807\uff0c\u56e0\u4e3andc\u5750\u6807\u7cfb\u4e2d\u4f1a\u5c06\u5149\u7ebf\u7684\u8fb9\u754c\u9650\u5236\u57280-1\u4e4b\u95f4\u4ee5\u51cf\u5c11\u5728\u666f\u6df1\u6bd4\u8f83\u5927\u7684\u80cc\u666f\u4e0b\u4ea7\u751f\u7684\u8d1f\u9762\u5f71\u54cd\u3002\u4f46\u662f\u9700\u8981\u6ce8\u610fndc\u5750\u6807\u7cfb\u4e0d\u80fd\u548cspherify pose\uff08\u7403\u72b6\u591a\u89c6\u56fe\u91c7\u6837\u65f6\uff09\u540c\u65f6\u4f7f\u7528\uff0c\u8fd9\u70b9nerf-pytorch\u4e2d\u5e76\u6ca1\u6709\u8bbe\u7f6e\u4e24\u8005\u7684\u4e92\u65a5\u5173\u7cfb\uff0c\u800cnerf-pl\u5219\u660e\u786e\u8bbe\u7f6e\u4e86\u3002<\/p>\n\n\n\n<h4 id=\"h_495652881_6\">\u8f93\u5165\u7684\u8fdb\u4e00\u6b65\u9884\u5904\u7406<\/h4>\n\n\n\n<p>\u4ecb\u7ecd\u5b8c\u4e86\u5c06\u50cf\u7d20\u5750\u6807\u8f6c\u6362\u5230\u4e16\u754c\u5750\u6807\u5f62\u6210\u5149\u7ebf\u59cb\u53d1\u70b9\u4e0e\u65b9\u5411\u5411\u91cf\u4e4b\u540e\uff0c\u63a5\u4e0b\u6765\u4fbf\u662f\u6587\u7ae0\u4e2d\u4f7f\u7528\u7684\u4e00\u4e9btrick\uff0c\u5173\u4e8e\u5982\u4f55\u8fdb\u4e00\u6b65\u5904\u7406\u5149\u7ebf\u8d77\u70b9\u4e0e\u5149\u7ebf\u65b9\u5411\u5f62\u6210\u771f\u6b63\u7684MLP\u7684\u8f93\u5165\u503c\u3002<\/p>\n\n\n\n<p>\u9996\u5148\u7531\u4e8e\u4f53\u7d20\u6e32\u67d3\u9700\u8981\u6cbf\u7740\u5149\u7ebf\u8fdb\u884c\u79ef\u5206\uff0c\u800c\u79ef\u5206\u5728\u8ba1\u7b97\u673a\u4e2d\u662f\u4ee5\u79bb\u6563\u7684\u4e58\u79ef\u548c\u8fdb\u884c\u8ba1\u7b97\u7684\uff0c\u90a3\u4e48\u8fd9\u91cc\u5c31\u6d89\u53ca\u5230\u5728\u5149\u7ebf\u4e0a\u8fdb\u884c\u70b9\u7684\u91c7\u6837\u3002NeRF\u5728\u5149\u7ebf\u7684\u70b9\u91c7\u6837\u8fc7\u7a0b\u4e2d\u7684\u8fdb\u884c\u4e86\u4e00\u4e9b\u8bbe\u8ba1\u3002\u9996\u5148\u4e3a\u4e86\u907f\u514d\u5927\u91cf\u7684\u70b9\u91c7\u6837\u5bfc\u81f4\u7684\u8ba1\u7b97\u91cf\u7684\u6fc0\u589e\uff0cNeRF\u8bbe\u8ba1\u4e86coarse to fine\u7684\u91c7\u6837\u7b56\u7565\u3002\u5728coarse\u91c7\u6837\u9636\u6bb5\uff0c\u91c7\u7528\u4e86\u5e26\u6709\u6270\u52a8\u7684\u5747\u5300\u91c7\u6837\u65b9\u6cd5\u3002\u7b2c\u4e00\u6b65\u5728\u5149\u7ebf\u7684\u8fb9\u754c\u4e4b\u95f4\u8fdb\u884c\u6df1\u5ea6\u7a7a\u95f4\u7684\u5747\u5300\u91c7\u6837\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>z_steps = torch.linspace(0, 1, N_samples, device=rays.device)\nz_vals = near * (1-z_steps) + far * z_steps<\/code><\/pre>\n\n\n\n<p>\u7136\u540e\u5728\u89c4\u5b9a\u4e86\u4e0b\u754c\u4e0e\u4e0a\u754c\u7684\u8303\u56f4\u5185\u5c06\u91c7\u6837\u70b9\u8fdb\u884c\u6270\u52a8\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>z_vals_mid = 0.5 * (z_vals&#91;: ,:-1] + z_vals&#91;: ,1:])\nupper = torch.cat(&#91;z_vals_mid, z_vals&#91;: ,-1:]], -1)\nlower = torch.cat(&#91;z_vals&#91;: ,:1], z_vals_mid], -1)\nperturb_rand = perturb * torch.rand(z_vals.shape, device=rays.device)\nz_vals = lower + (upper - lower) * perturb_rand<\/code><\/pre>\n\n\n\n<p>\u6700\u7ec8coarse\u91c7\u6837\u9636\u6bb5\u5728\u6bcf\u6761\u5149\u7ebf\u4e0a\u91c7\u6837\u4e8664\u4e2a\u6837\u672c\u70b9\u3002\u7136\u540e\u57fa\u4e8ecoarse\u91c7\u6837\u5f97\u5230\u7684\u7ed3\u679c\u8fdb\u4e00\u6b65\u6307\u5bfcfine\u7684\u70b9\u91c7\u6837\uff0c\u5373\u5728\u5bf9\u6700\u7ec8\u989c\u8272\u8d21\u732e\u66f4\u5927\uff08\u6743\u91cd\u66f4\u5927\uff09\u7684\u70b9\u9644\u8fd1\u8fdb\u884c\u66f4\u52a0\u5bc6\u96c6\u7684\u70b9\u91c7\u6837\u3002<\/p>\n\n\n\n<p>\u7136\u540e\u662f\u7c7b\u4f3cTransformer\u4e2d\u7684\u4f4d\u7f6e\u7f16\u7801\uff0c\u5c06\u4f4e\u7ef4\u7684\u5750\u6807\u70b9\u4e0e\u65b9\u5411\u6620\u5c04\u5230\u9ad8\u7ef4\u7a7a\u95f4\u4ee5\u63d0\u5347\u7f51\u7edc\u6355\u6349\u9ad8\u9891\u4fe1\u606f\u7684\u80fd\u529b\uff0c\u4ee5nerf-pl\u4e2d\u7684\u4ee3\u7801<a href=\"https:\/\/github.com\/kwea123\/nerf_pl\/blob\/master\/models\/nerf.py\" target=\"_blank\" rel=\"noreferrer noopener\">nerf.py<\/a>\u4e3a\u4f8b\uff0cembedding\u51fd\u6570\u5c063\u7ef4\u7684\u4f4d\u7f6e\u7f16\u7801\u6620\u5c04\u4e3a63\u7ef4\uff0c\u5c063\u7ef4\u7684\u65b9\u5411\u7f16\u7801\u6620\u5c04\u4e3a27\u7ef4\u3002<\/p>\n\n\n\n<p>\u5904\u7406\u597d\u7684\u6837\u672c\u70b9\u901a\u8fc7embedding\u51fd\u6570\u8fdb\u884c\u4f4e\u7ef4\u5230\u9ad8\u7ef4\u7684\u6620\u5c04\u4e4b\u540e\u5f97\u5230\u7684\u7ed3\u679c\u624d\u4f1a\u6700\u7ec8\u4f5c\u4e3aMLP\u7684\u8f93\u5165\uff0cMLP\u6700\u7ec8\u9884\u6d4b\u6bcf\u4e2a\u6837\u672c\u70b9\u7684\u989c\u8272\u503c\u4e0e\u4e0d\u900f\u660e\u5ea6\u3002\u5177\u4f53\u7684\u7f51\u7edc\u7ed3\u6784\u56fe\u5982\u4e0b\uff0cNeRF\u4e3a\u4e86\u5efa\u6a21view-specific\u7684\u50cf\u7d20\u503c\uff0c\u5373\u4e0d\u540c\u7684\u89c6\u89d2\u4e0b\u770b\u540c\u4e00\u4e2a\u70b9\u7684\u989c\u8272\u662f\u6709\u533a\u522b\u7684\uff0c\u5728\u7f51\u7edc\u7684\u5012\u6570\u7b2c\u4e8c\u5c42\u8fdb\u4e00\u6b65\u628a\u8868\u793a\u5149\u7ebf\u65b9\u5411\u7684\u9ad8\u7ef4\u7f16\u7801\u8f93\u5165\u4ee5\u9884\u6d4b\u6700\u7ec8\u7684\u50cf\u7d20\u503c\uff0c\u800c\u4e3a\u4e86\u589e\u5f3a\u7a7a\u95f4\u4f4d\u7f6e\u7684condition\uff0c\u5728\u7f51\u7edc\u7684\u7b2c\u56db\u5c42\u53c8\u5c06\u8868\u793a\u4f4d\u7f6e\u7684\u9ad8\u7ef4\u7f16\u7801\u518d\u4e00\u6b21\u8f93\u5165\u5230\u4e86\u7f51\u7edc\u4e2d\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic2.zhimg.com\/v2-e2f7fe54729d88bc025fc1525cc7e4f1_r.jpg\" alt=\"\"\/><figcaption>Nerf\u4e2dMLP\u7ed3\u6784\u56fe<\/figcaption><\/figure>\n\n\n\n<h3>NeRF\u7684\u8bad\u7ec3<\/h3>\n\n\n\n<p>\u8bad\u7ec3NeRF\u7684\u8f93\u5165\u6570\u636e\u662f\uff1a\u4ece\u4e0d\u540c\u4f4d\u7f6e\u62cd\u6444\u540c\u4e00\u573a\u666f\u7684\u56fe\u7247\uff0c\u62cd\u6444\u8fd9\u4e9b\u56fe\u7247\u7684\u76f8\u673a\u4f4d\u59ff\u3001\u76f8\u673a\u5185\u53c2\uff0c\u4ee5\u53ca\u573a\u666f\u7684\u8303\u56f4\u3002\u82e5\u56fe\u50cf\u6570\u636e\u96c6\u7f3a\u5c11\u76f8\u673a\u53c2\u6570\u771f\u503c\uff0c\u4f5c\u8005\u4fbf\u4f7f\u7528\u7ecf\u5178SfM\u91cd\u5efa\u89e3\u51b3\u65b9\u6848<a href=\"https:\/\/colmap.github.io\/\" target=\"_blank\" rel=\"noreferrer noopener\">COLMAP<\/a>\u4f30\u8ba1\u4e86\u9700\u8981\u7684\u53c2\u6570\uff0c\u5f53\u4f5c\u771f\u503c\u4f7f\u7528\u3002<\/p>\n\n\n\n<p>\u5728\u8bad\u7ec3\u4f7f\u7528NeRF\u6e32\u67d3\u65b0\u56fe\u7247\u7684\u8fc7\u7a0b\u4e2d\uff0c<\/p>\n\n\n\n<ul><li>\u5148\u5c06\u8fd9\u4e9b\u4f4d\u7f6e\u8f93\u5165MLP\u4ee5\u4ea7\u751fvolume density\u548cRGB\u989c\u8272\u503c\uff1b<\/li><li>\u53d6\u4e0d\u540c\u7684\u4f4d\u7f6e\uff0c\u4f7f\u7528\u4f53\u79ef\u6e32\u67d3\u6280\u672f\u5c06\u8fd9\u4e9b\u503c\u5408\u6210\u4e3a\u4e00\u5f20\u5b8c\u6574\u7684\u56fe\u50cf\uff1b<\/li><li>\u56e0\u4e3a\u4f53\u79ef\u6e32\u67d3\u51fd\u6570\u662f\u53ef\u5fae\u7684\uff0c\u6240\u4ee5\u53ef\u4ee5\u901a\u8fc7\u6700\u5c0f\u5316\u4e0a\u4e00\u6b65\u6e32\u67d3\u5408\u6210\u7684\u3001\u771f\u5b9e\u56fe\u50cf\u4e4b\u95f4\u7684\u5dee\u6765\u8bad\u7ec3\u4f18\u5316NeRF\u573a\u666f\u8868\u793a\u3002<\/li><\/ul>\n\n\n\n<p>\u8fd9\u6837\u7684\u4e00\u4e2aNeRF\u8bad\u7ec3\u5b8c\u6210\u540e\uff0c\u5c31\u5f97\u5230\u4e00\u4e2a\u4ee5\u591a\u5c42\u611f\u77e5\u673a\u7684\u6743\u91cd\u8868\u793a\u7684\u6a21\u578b\u3002\u4e00\u4e2a\u6a21\u578b\u53ea\u542b\u6709\u8be5\u573a\u666f\u7684\u4fe1\u606f\uff0c\u4e0d\u5177\u6709\u751f\u6210\u522b\u7684\u573a\u666f\u7684\u56fe\u7247\u7684\u80fd\u529b\u3002<\/p>\n\n\n\n<p>\u9664\u6b64\u4e4b\u5916\uff0cNeRF\u8fd8\u6709\u4e24\u4e2a\u4f18\u5316\u7684trick\uff1a<\/p>\n\n\n\n<ul><li>\u4f4d\u7f6e\u7f16\u7801\uff08positional encoding\uff09\uff0c\u7c7b\u4f3c\u4e8e\u5085\u91cc\u53f6\u53d8\u6362\uff0c\u5c06\u4f4e\u7ef4\u8f93\u5165\u6620\u5c04\u5230\u9ad8\u7ef4\u7a7a\u95f4\uff0c\u63d0\u5347\u7f51\u7edc\u6355\u6349\u9ad8\u9891\u4fe1\u606f\u7684\u80fd\u529b\uff1b<\/li><li>\u4f53\u79ef\u6e32\u67d3\u7684\u5206\u5c42\u91c7\u6837\uff08hierarchical volume sampling\uff09\uff0c\u901a\u8fc7\u66f4\u9ad8\u6548\u7684\u91c7\u6837\u7b56\u7565\u51cf\u5c0f\u4f30\u7b97\u79ef\u5206\u5f0f\u7684\u8ba1\u7b97\u5f00\u9500\uff0c\u52a0\u5feb\u8bad\u7ec3\u901f\u5ea6\u3002<\/li><\/ul>\n\n\n\n<h3 id=\"h_495652881_7\">\u4eceMLP\u7684\u8f93\u51fa\u52302D\u56fe\u50cf\u2014\u4f53\u7d20\u6e32\u67d3<\/h3>\n\n\n\n<p>       \u5728\u5f97\u5230MLP\u5bf9\u4e8e\u67d0\u6761\u5149\u7ebf\u4e2d\u91c7\u6837\u70b9\u7684\u989c\u8272\u4e0e\u4e0d\u900f\u660e\u5ea6\u7684\u9884\u6d4b\u503c\u4e4b\u540e\uff0c\u4fbf\u53ef\u4ee5\u901a\u8fc7\u4f53\u7d20\u6e32\u67d3\u8fdb\u884c\u8be5\u5149\u7ebf\u5bf9\u5e94\u7684\u50cf\u7d20\u989c\u8272\u503c\u7684\u8ba1\u7b97\u3002\u8fd9\u91cc\u7684\u4ee3\u7801\u53ef\u4ee5\u53c2\u8003nerf-pl\u4e2d\u7684<a rel=\"noreferrer noopener\" href=\"https:\/\/github.com\/kwea123\/nerf_pl\/blob\/master\/models\/rendering.py\" target=\"_blank\">inference<\/a>\u51fd\u6570\uff0c\u6bcf\u4e00\u6b65\u4ee3\u7801\u90fd\u6709\u6bd4\u8f83\u8be6\u7ec6\u7684\u8bf4\u660e\u3002\u5728\u8bad\u7ec3\u9636\u6bb5\u5c31\u5c06\u6cbf\u7740\u7279\u5b9a\u5149\u7ebf\u9884\u6d4b\u7684\u50cf\u7d20\u503c\u4e0e\u5bf9\u5e94\u50cf\u7d20\u70b9\u7684\u50cf\u7d20\u771f\u503c\u505aL2\u635f\u5931\u51fd\u6570\u4ee5\u66f4\u65b0\u7f51\u7edc\uff1b\u5728\u6d4b\u8bd5\u9636\u6bb5\u5c31\u8ba1\u7b97\u76f8\u673a\u89c6\u9525\u4e2d\u6240\u6709\u5149\u7ebf\u5f97\u5230\u6240\u6709\u50cf\u7d20\u7684\u50cf\u7d20\u503c\u4ee5\u7ec4\u6210\u5b8c\u6574\u76842D\u56fe\u50cf\u3002<\/p>\n\n\n\n<p>\u6700\u540e\u9644\u4e0a\u4e00\u4e9b\u8bb2\u89e3\u5173\u4e8e\u76f8\u673a\u5185\u5916\u53c2\u89e3\u91ca\u4ee5\u53ca\u5750\u6807\u7cfb\u53d8\u6362\u7684\u8d44\u6599\uff1a<a rel=\"noreferrer noopener\" target=\"_blank\" href=\"https:\/\/www.cs.cmu.edu\/~16385\/s17\/Slides\/11.1_Camera_matrix.pdf\">www.cs.cmu.edu\/~16385\/s17\/Slides\/11.1_Camera_matrix.pdf<\/a><\/p>\n\n\n\n<p>ndc\u5750\u6807\u7cfb\u8bf4\u660e\uff1a<a rel=\"noreferrer noopener\" target=\"_blank\" href=\"https:\/\/github.com\/bmild\/nerf\/files\/4451808\/ndc_derivation.pdf\">github.com\/bmild\/nerf\/files\/4451808\/ndc_derivation.pdf<\/a><\/p>\n\n\n\n<p>Nerf-pytorch\uff1a<a rel=\"noreferrer noopener\" target=\"_blank\" href=\"https:\/\/github.com\/yenchenlin\/nerf-pytorch\">https:\/\/github.com\/yenchenlin\/nerf-pytorch\u200b<\/a><\/p>\n\n\n\n<p>Nerf-pl\uff1a<a rel=\"noreferrer noopener\" target=\"_blank\" href=\"https:\/\/github.com\/kwea123\/nerf_pl\">https:\/\/github.com\/kwea123\/nerf_pl\u200b<\/a><\/p>\n\n\n\n<h2 id=\"4308\">Emitted Color &amp; Volume Density<\/h2>\n\n\n\n<p id=\"dd15\">\u4e8b\u5b9e\u4e0a volume rendering\u7684\u65b9\u6cd5\u767e\u767e\u79cd\uff0c\u8bba\u6587\u4e2d\u4f7f\u7528\u7684\u4e5f\u53ea\u662f\u5176\u4e2d\u4e00\u79cd\u4f9d\u9760 emitted color\u4e0e volume density\u7684\u65b9\u6cd5\u3002\u5728\u8bba\u6587\u4e2d\u6240\u8c13\u7684<strong>&nbsp;volume density\uff08\u5bc6\u5ea6\uff09\u53ef\u4ee5\u89e3\u91ca\u4e3a\u8fd9\u6761\u5c04\u7ebf\u4f1a\u505c\u5728\u8fd9\u4e2a 3D\u4f4d\u7f6e\u7684\u673a\u7387<\/strong>\uff0c\u800c<strong>&nbsp;emitted color\u6307\u7684\u662f\u7531\u67d0\u4e2a\u89c6\u89d2\u770b\u51fa\u53bb\u8fd9\u4e2a 3D\u4f4d\u7f6e\u7684\u989c\u8272<\/strong>\u3002<\/p>\n\n\n\n<p id=\"2515\">\u4f9d\u7167\u8fd9\u6837\u7684\u8bbe\u5b9a\uff0c volume density\u5728\u8bbe\u8ba1\u4e0a\u5e94\u8be5\u53ea\u4e0e 3D location\u6709\u5173\uff0c\u800c emitted color\u5219\u662f\u4e0e location\u4e0e view direction\u6709\u5173\u3002\u56e0\u6b64 NeRF\u7f51\u8def (MLP) \u4f1a\u5148\u5403\u8fdb 3D location\uff0c\u901a\u8fc7 8\u5c42 FC layer\uff0c\u8f93\u51fa volume density\u4e0e volume density\u4ee5\u53ca 256\u7ef4\u7684 latent feature\u3002\u800c\u540e\u4e0e view direction concatenate\uff0c\u5728\u901a\u8fc7 FC layer\u5f97\u5230 emitted color\u3002<\/p>\n\n\n\n<h2><strong>Vanilla NeRF<\/strong><\/h2>\n\n\n\n<p>NeRF \u6240\u8981\u505a\u7684 task \u662f Novel View Synthesis\uff0c\u4e00\u822c\u7ffb\u8bd1\u4e3a\u65b0\u89c6\u89d2\u5408\u6210\u4efb\u52a1\uff0c\u5b9a\u4e49\u662f\uff1a\u5728\u5df2\u77e5\u89c6\u89d2\u4e0b\u5bf9\u573a\u666f\u8fdb\u884c\u4e00\u7cfb\u5217\u7684\u6355\u83b7 (\u5305\u62ec\u62cd\u6444\u5230\u7684\u56fe\u50cf\uff0c\u4ee5\u53ca\u6bcf\u5f20\u56fe\u50cf\u5bf9\u5e94\u7684\u5185\u5916\u53c2)\uff0c\u5408\u6210\u65b0\u89c6\u89d2\u4e0b\u7684\u56fe\u50cf\u3002\u4f20\u7edf\u65b9\u6cd5\u4f7f\u7528 IBR (Image Based Rendering) \u65b9\u6cd5\u7684\u8f83\u591a\uff0c\u4e5f\u6709\u4e00\u4e9b\u4f7f\u7528\u6df1\u5ea6\u5b66\u4e60\u548c IBR \u7ed3\u5408\u7684\u65b9\u6cd5\uff0c\u8fd9\u4e9b\u6211\u4eec\u4e0d\u8fc7\u591a\u4ecb\u7ecd\u3002<\/p>\n\n\n\n<p>NeRF \u60f3\u505a\u8fd9\u6837\u4e00\u4ef6\u4e8b\uff0c\u4e0d\u9700\u8981\u4e2d\u95f4\u4e09\u7ef4\u91cd\u5efa\u7684\u8fc7\u7a0b\uff0c\u4ec5\u6839\u636e\u4f4d\u59ff\u5185\u53c2\u548c\u56fe\u50cf\uff0c\u76f4\u63a5\u5408\u6210\u65b0\u89c6\u89d2\u4e0b\u7684\u56fe\u50cf\u3002\u4e3a\u6b64 NeRF \u5f15\u5165\u4e86\u8f90\u5c04\u573a\u7684\u6982\u5ff5\uff0c\u8fd9\u5728\u56fe\u5f62\u5b66\u4e2d\u662f\u975e\u5e38\u91cd\u8981\u7684\u6982\u5ff5\uff0c\u5728\u6b64\u6211\u4eec\u7ed9\u51fa\u6e32\u67d3\u65b9\u7a0b\u7684\u5b9a\u4e49\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic1.zhimg.com\/v2-1a80de23a422688b739f36828affb8ec_r.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic4.zhimg.com\/v2-c469e4968a3e6cf8ec7a81f816de4f87_r.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<p>\u90a3\u4e48\u8f90\u5c04\u548c\u989c\u8272\u662f\u4ec0\u4e48\u5173\u7cfb\u5462\uff1f\u6211\u4eec\u4e0d\u5e0c\u671b\u628a\u8fd9\u4e2a\u6587\u7ae0\u8bb2\u590d\u6742\uff0c\u7b80\u5355\u8bb2\u5c31\u662f\uff0c\u5149\u5c31\u662f\u7535\u78c1\u8f90\u5c04\uff0c\u6216\u8005\u8bf4\u662f\u632f\u8361\u7684\u7535\u78c1\u573a\uff0c\u5149\u53c8\u6709\u6ce2\u957f\u548c\u9891\u7387\uff0c\u4e8c\u8005\u4e58\u79ef\u4e3a\u5149\u901f\uff0c\u5149\u7684\u989c\u8272\u662f\u7531\u9891\u7387\u51b3\u5b9a\u7684\uff0c\u5927\u591a\u6570\u5149\u662f\u4e0d\u53ef\u89c1\u7684\uff0c\u4eba\u773c\u53ef\u89c1\u7684\u5149\u8c31\u79f0\u4e3a\u53ef\u89c1\u5149\u8c31\uff0c\u5bf9\u5e94\u7684\u9891\u7387\u5c31\u662f\u6211\u4eec\u8ba4\u4e3a\u7684\u989c\u8272\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic1.zhimg.com\/v2-381aa740f21b7eba1f896fd98dcc1308_r.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic1.zhimg.com\/v2-51bd3710b9f891c4c44fde12545e4fd4_r.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic3.zhimg.com\/v2-1e980602a9993cc0c3824a2e1a245fd6_r.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<h2>Positional Encoding<\/h2>\n\n\n\n<p>\u5176\u5b9e\u5728 2018 \u5e74 Bengio \u7b49\u4eba\u5c31\u53d1\u73b0 deep networks \u66f4\u503e\u5411\u4e8e\u5b66\u4e60\u4f4e\u9891\u7684\u51fd\u6570\uff0c\u800c\u53ef\u4ee5\u60f3\u8c61\u7684\u662f\uff0c\u5b9e\u9645\u573a\u666f\u7684\u795e\u7ecf\u8f90\u5c04\u573a\u57fa\u672c\u4e0a\u90fd\u662f\u9ad8\u9891\u7684\uff0c\u4e3a\u6b64\u4f5c\u8005\u63d0\u51fa\u4e86 Positional Encoding(\u6ce8\u610f\u8fd9\u91cc\u7684 Positional Encoding \u548c Transformer \u4e2d\u7684 Positional Encoding \u5f88\u50cf\uff0c\u4f46\u662f\u89e3\u51b3\u95ee\u9898\u662f\u4e0d\u4e00\u6837\u7684)\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic3.zhimg.com\/v2-bf3e3595a11519eafddf1e7ceab2a5f6_r.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<p>\u8fd9\u91cc&nbsp;p,L&nbsp;\u90fd\u662f\u6807\u91cf\uff0c&nbsp;L&nbsp;\u662f\u8d85\u53c2\u6570\uff0c\u5bf9\u539f\u59cb\u7684\u5750\u6807\u4ee5\u53ca\u89c6\u89d2\u65b9\u5411\u7684\u6bcf\u4e00\u7ef4\u5ea6\u90fd\u505a\u76f8\u540c\u7684\u64cd\u4f5c\uff0c\u7136\u540e\u518d\u8f93\u5165\u5230\u7f51\u7edc\u4e2d\uff0c\u4e8b\u5b9e\u4e0a\u5728\u5b98\u65b9\u7684\u4ee3\u7801\u5b9e\u73b0\u4e2d\uff0c\u8f93\u5165\u7684\u662f&nbsp;(\u03b3(p),p)&nbsp;\uff0c\u4e5f\u5c31\u662f\u8bf4\u539f\u59cb\u4fe1\u606f\u4e5f\u4fdd\u7559\u4e86\u4e0b\u6765\u3002\u4e0b\u56fe\u662f\u4e00\u4e2a\u5173\u4e8e Positional Encoding \u4ee5\u53ca\u89c6\u89d2\u65b9\u5411\u76f8\u5173\u7684 ablation study\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic1.zhimg.com\/v2-e481b4f9e2f7be6a11d3ef2d90b8d894_r.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<p>\u5173\u4e8e Positional Encoding \u4ee5\u53ca SIREN \u7b49\u5de5\u4f5c\u6211\u4eec\u4f1a\u5728\u4e4b\u540e\u4e13\u95e8\u9009\u4e00\u4e2a\u7ae0\u8282\u8fdb\u884c\u8bb2\u89e3\u3002\u8bfb\u8005\u6682\u65f6\u4ec5\u9700\u4fdd\u7559\u4e00\u4e2a\u5370\u8c61\u5373\u53ef\u3002<\/p>\n\n\n\n<h2>Hierarchical volume sampling<\/h2>\n\n\n\n<p>\u4f7f\u7528\u4f53\u6e32\u67d3\u79ef\u5206\u5c31\u4f1a\u9047\u5230\u4ee5\u4e0b\u51e0\u4e2a\u95ee\u9898\uff0c\u867d\u7136\u53ef\u4ee5\u79bb\u6563\u7684\u8fd1\u4f3c\u8ba1\u7b97\u79ef\u5206\uff0c\u4f46\u662f\u9762\u4e34\u7684\u95ee\u9898\u5c31\u662f\u5982\u4f55\u91c7\u6837\u3002\u91c7\u6837\u70b9\u8fc7\u591a\u5f00\u9500\u8fc7\u5927\uff0c\u91c7\u6837\u70b9\u8fc7\u5c11\u8fd1\u4f3c\u8bef\u5dee\u6709\u592a\u5927\u3002\u76f4\u89c2\u7684\u4e00\u4e2a\u60f3\u6cd5\u662f\uff0c\u6700\u597d\u5c3d\u53ef\u80fd\u7684\u907f\u514d\u5728\u7a7a\u7f3a\u90e8\u5206\u4ee5\u53ca\u88ab\u906e\u6321\u4e86\u7684\u90e8\u5206\u8fdb\u884c\u8fc7\u591a\u7684\u91c7\u6837\uff0c\u56e0\u4e3a\u8fd9\u4e9b\u90e8\u5206\u5bf9\u6700\u597d\u7684\u989c\u8272\u8d21\u732e\u662f\u5f88\u5c11\u7684\uff0c\u57fa\u4e8e\u8fd9\u4e00\u60f3\u6cd5 NeRF \u63d0\u51fa\u5206\u5c42\u91c7\u6837\u8bad\u7ec3\u7684\u65b9\u5f0f\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic1.zhimg.com\/v2-9c17fce0bbf39233a5229f6f49b93588_r.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<p>\u4f7f\u7528\u4e24\u4e2a\u7f51\u7edc\u540c\u65f6\u8fdb\u884c\u8bad\u7ec3 (\u540e\u79f0 coarse \u548c fine \u7f51\u7edc)\uff0c coarse \u7f51\u7edc\u8f93\u5165\u7684\u70b9\u662f\u901a\u8fc7\u5bf9\u5149\u7ebf\u5747\u5300\u91c7\u6837\u5f97\u5230\u7684\uff0c\u6839\u636e coarse \u7f51\u7edc\u9884\u6d4b\u7684\u4f53\u5bc6\u5ea6\u503c\uff0c\u5bf9\u5149\u7ebf\u7684\u5206\u5e03\u8fdb\u884c\u4f30\u8ba1\uff0c\u7136\u540e\u6839\u636e\u4f30\u8ba1\u51fa\u7684\u5206\u5e03\u8fdb\u884c\u7b2c\u4e8c\u6b21\u91cd\u8981\u6027\u91c7\u6837\uff0c\u7136\u540e\u518d\u628a\u6240\u6709\u7684\u91c7\u6837\u70b9&nbsp;(Nc+Nf)&nbsp;\u4e00\u8d77\u8f93\u5165\u5230 fine \u7f51\u7edc\u8fdb\u884c\u9884\u6d4b\u3002\u5173\u4e8e loss \u51fd\u6570\u6211\u4eec\u540c\u6837\u4f5c\u4e3a\u4e00\u4e2a\u5f00\u653e\u6027\u7684\u5185\u5bb9\uff0c\u4e0d\u5728\u6b64\u591a\u505a\u8bb2\u89e3\u4e86\u3002<\/p>\n\n\n\n<h2>\u540eNeRF\u65f6\u4ee3<\/h2>\n\n\n\n<h3>GIRAFFE\uff1acomposition\u65b9\u5411\u7684\u4ee3\u8868\u4f5c<\/h3>\n\n\n\n<p>2021CVPR\u7684\u6700\u4f73\u8bba\u6587\u5956\u5f97\u4e3bGIRAFFE\u662fNeRF\u3001GRAF\u5de5\u4f5c\u7684\u5ef6\u7533\u3002<\/p>\n\n\n\n<p>\u5728NeRF\u4e4b\u540e\uff0c\u6709\u4eba\u63d0\u51fa\u4e86GRAF\uff08Generative Radiance Fields\uff09\uff0c\u5173\u952e\u70b9\u5728\u4e8e\u5f15\u5165\u4e86GAN\u6765\u5b9e\u73b0Neural Radiance Fields\uff08\u795e\u7ecf\u8f90\u5c04\u573a\uff09\uff1b\u5e76\u4f7f\u7528conditional GAN\u5b9e\u73b0\u5bf9\u6e32\u67d3\u5185\u5bb9\u7684\u53ef\u63a7\u6027\u3002<\/p>\n\n\n\n<p>\u5728GRAF\u4e4b\u540e\uff0cGIRAFFE\u5b9e\u73b0\u4e86composition\u3002\u5728NeRF\u3001GRAF\u4e2d\uff0c\u4e00\u4e2aNeural Radiance Fields\u8868\u793a\u4e00\u4e2a\u573a\u666f\uff0cone model per scene\u3002\u800c\u5728GIRAFFE\u4e2d\uff0c\u4e00\u4e2aNeural Radiance Fields\u53ea\u8868\u793a\u4e00\u4e2a\u7269\u4f53\uff0cone object per scene\uff08\u80cc\u666f\u4e5f\u7b97\u4e00\u4e2a\u7269\u4f53\uff09\u3002\u8fd9\u6837\u505a\u7684\u5999\u5904\u5728\u4e8e\u53ef\u4ee5\u968f\u610f\u7ec4\u5408\u4e0d\u540c\u573a\u666f\u7684\u7269\u4f53\uff0c\u53ef\u4ee5\u6539\u53d8\u540c\u4e00\u573a\u666f\u4e2d\u4e0d\u540c\u7269\u4f53\u95f4\u7684\u76f8\u5bf9\u4f4d\u7f6e\uff0c\u6e32\u67d3\u751f\u6210\u66f4\u591a\u8bad\u7ec3\u6570\u636e\u4e2d\u6ca1\u6709\u7684\u5168\u65b0\u56fe\u50cf\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic2.zhimg.com\/v2-a72bdd7266cf3b5811a590f8410ee2cd_r.jpg\" alt=\"\"\/><figcaption>GIRAFFE\u5b9e\u73b0composition<\/figcaption><\/figure>\n\n\n\n<p>\u5982\u56fe\u6240\u793a\uff0cGIRAFFE\u53ef\u4ee5\u5e73\u79fb\u3001\u65cb\u8f6c\u573a\u666f\u4e2d\u7684\u7269\u4f53\uff0c\u8fd8\u53ef\u4ee5\u5728\u573a\u666f\u4e2d\u589e\u6dfb\u539f\u672c\u6ca1\u6709\u7684\u65b0\u7269\u4f53\u3002<\/p>\n\n\n\n<p>\u53e6\u5916\uff0cGIRAFFE\u8fd8\u53ef\u4ee5\u6539\u53d8\u7269\u4f53\u7684\u5f62\u72b6\u548c\u5916\u89c2\uff0c\u56e0\u4e3a\u7f51\u7edc\u4e2d\u52a0\u5165\u4e86\u5f62\u72b6\u7f16\u7801\u3001\u5916\u89c2\u7f16\u7801\u53d8\u91cf\uff08shape codes&nbsp;zsi&nbsp;, appearance codes&nbsp;zai&nbsp;\uff09\u3002<\/p>\n\n\n\n<h3>\u5176\u4ed6\u6700\u65b0\u76f8\u5173\u5de5\u4f5c<\/h3>\n\n\n\n<p class=\"has-bright-blue-background-color has-background\"><strong>2021\u5e74CVPR\u8fd8\u6709\u8bb8\u591a\u76f8\u5173\u7684\u7cbe\u5f69\u5de5\u4f5c\u53d1\u8868\u3002\u4f8b\u5982\uff0c\u63d0\u5347\u7f51\u7edc\u7684\u6cdb\u5316\u6027\uff1a<\/strong><\/p>\n\n\n\n<ul><li><a href=\"https:\/\/alexyu.net\/pixelnerf\/\" target=\"_blank\" rel=\"noreferrer noopener\">pixelNeRF<\/a>\uff1a\u5c06\u6bcf\u4e2a\u50cf\u7d20\u7684\u7279\u5f81\u5411\u91cf\u800c\u975e\u50cf\u7d20\u672c\u8eab\u4f5c\u4e3a\u8f93\u5165\uff0c\u5141\u8bb8\u7f51\u7edc\u5728\u4e0d\u540c\u573a\u666f\u7684\u591a\u89c6\u56fe\u56fe\u50cf\u4e0a\u8fdb\u884c\u8bad\u7ec3\uff0c\u5b66\u4e60\u573a\u666f\u5148\u9a8c\uff0c\u7136\u540e\u6d4b\u8bd5\u65f6\u76f4\u63a5\u63a5\u6536\u4e00\u4e2a\u6216\u51e0\u4e2a\u89c6\u56fe\u4e3a\u8f93\u5165\u5408\u6210\u65b0\u89c6\u56fe\u3002<\/li><li><a href=\"https:\/\/ibrnet.github.io\/\" target=\"_blank\" rel=\"noreferrer noopener\">IBRNet<\/a>\uff1a\u5b66\u4e60\u4e00\u4e2a\u9002\u7528\u4e8e\u591a\u79cd\u573a\u666f\u7684\u901a\u7528\u89c6\u56fe\u63d2\u503c\u51fd\u6570\uff0c\u4ece\u800c\u4e0d\u7528\u4e3a\u6bcf\u4e2a\u65b0\u7684\u573a\u666f\u90fd\u65b0\u5b66\u4e60\u4e00\u4e2a\u6a21\u578b\u624d\u80fd\u6e32\u67d3\uff1b\u4e14\u7f51\u7edc\u7ed3\u6784\u4e0a\u7528\u4e86\u53e6\u4e00\u4e2a\u65f6\u9ae6\u7684\u4e1c\u897f Transformer\u3002<\/li><li><a href=\"https:\/\/apchenstu.github.io\/mvsnerf\/\" target=\"_blank\" rel=\"noreferrer noopener\">MVSNeRF<\/a>\uff1a\u8bad\u7ec3\u4e00\u4e2a\u5177\u6709\u6cdb\u5316\u6027\u80fd\u7684\u5148\u9a8c\u7f51\u7edc\uff0c\u5728\u63a8\u7406\u7684\u65f6\u5019\u53ea\u75283\u5f20\u8f93\u5165\u56fe\u7247\u5c31\u91cd\u5efa\u4e00\u4e2a\u65b0\u7684\u573a\u666f\u3002<\/li><\/ul>\n\n\n\n<p class=\"has-light-pink-background-color has-background\"><strong>\u9488\u5bf9\u52a8\u6001\u573a\u666f\u7684NeRF:<\/strong><\/p>\n\n\n\n<ul><li><a href=\"https:\/\/nerfies.github.io\/\" target=\"_blank\" rel=\"noreferrer noopener\">Nerfies<\/a>\uff1a\u591a\u4f7f\u7528\u4e86\u4e00\u4e2a\u591a\u5c42\u611f\u77e5\u673a\u6765\u62df\u5408\u5f62\u53d8\u7684SE(3) field\uff0c\u4ece\u800c\u5efa\u6a21\u5e27\u95f4\u573a\u666f\u5f62\u53d8\u3002<\/li><li><a href=\"https:\/\/www.albertpumarola.com\/research\/D-NeRF\/index.html\" target=\"_blank\" rel=\"noreferrer noopener\">D-NeRF<\/a>\uff1a\u591a\u4f7f\u7528\u4e86\u4e00\u4e2a\u591a\u5c42\u611f\u77e5\u673a\u6765\u62df\u5408\u573a\u666f\u5f62\u53d8\u7684displacement\u3002<\/li><li><a href=\"http:\/\/www.cs.cornell.edu\/~zl548\/NSFF\/\" target=\"_blank\" rel=\"noreferrer noopener\">Neural Scene Flow Fields<\/a>\uff1a\u591a\u63d0\u51fa\u4e86\u4e00\u4e2ascene flow fields\u6765\u63cf\u8ff0\u65f6\u5e8f\u7684\u573a\u666f\u5f62\u53d8\u3002<\/li><\/ul>\n\n\n\n<p>\u5176\u4ed6\u521b\u65b0\u70b9\uff1a<\/p>\n\n\n\n<ul><li><a href=\"https:\/\/kai-46.github.io\/PhySG-website\/\" target=\"_blank\" rel=\"noreferrer noopener\">PhySG<\/a>\uff1a\u7528\u7403\u72b6\u9ad8\u65af\u51fd\u6570\u6a21\u62dfBRDF\uff08\u9ad8\u7ea7\u7740\u8272\u7684\u4e0a\u53e4\u795e\u5668\uff09\u548c\u73af\u5883\u5149\u7167\uff0c\u9488\u5bf9\u66f4\u590d\u6742\u7684\u5149\u7167\u73af\u5883\uff0c\u80fd\u5904\u7406\u975e\u6717\u4f2f\u8868\u9762\u7684\u53cd\u5c04\u3002<\/li><li><a href=\"https:\/\/nex-mpi.github.io\/\" target=\"_blank\" rel=\"noreferrer noopener\">NeX<\/a>\uff1a\u7528MPI\uff08Multi-Plane Image \uff09\u4ee3\u66ffNeRF\u7684RGB\u03c3\u4f5c\u4e3a\u7f51\u7edc\u7684\u8f93\u51fa\u3002<\/li><\/ul>\n\n\n\n<h3>5 \u4e0d\u6b62\u662fNeRF\uff1aNeural Rendering<\/h3>\n\n\n\n<p>Neural Radiance Fields\u7684\u5916\u9762\u662fNeural Rendering\uff1b\u6362\u53e5\u8bdd\u8bf4\uff0cNeRF\uff08Neural Radiance Fields\uff09\u662fNeural Rendering\u65b9\u5411\u7684\u5b50\u96c6\u3002<\/p>\n\n\n\n<p>\u5728\u9488\u5bf9\u8fd9\u4e2a\u66f4\u5bbd\u6cdb\u7684\u6982\u5ff5\u7684\u7efc\u8ff0<a href=\"https:\/\/arxiv.org\/abs\/2004.03805\" target=\"_blank\" rel=\"noreferrer noopener\">State of the Art on Neural Rendering<\/a>\u4e2d\uff0cNeural Rendering\u7684\u4e3b\u8981\u7814\u7a76\u65b9\u5411\u88ab\u5206\u4e3a5\u7c7b\uff0cNeRF\u5728\u5176\u4e2d\u5e94\u5c5e\u4e8e\u7b2c2\u7c7b\u201cNovel View Synthesis\u201d\uff08\u4e0d\u8fc7\u8fd9\u7bc7\u7efc\u8ff0\u65e9\u4e8eNeRF\u53d1\u8868,\u8868\u4e2d\u6ca1\u6709NeRF\u6761\u76ee\uff09\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic4.zhimg.com\/v2-75894f9393c941bed4a9a7120c609417_r.jpg\" alt=\"\"\/><figcaption>Neural Rendering\u76845\u7c7b\u4e3b\u8981\u7814\u7a76\u65b9\u5411<\/figcaption><\/figure>\n\n\n\n<p>\u8868\u4e2d\u5f69\u8272\u5b57\u6bcd\u7f29\u5199\u7684\u542b\u4e49\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic2.zhimg.com\/v2-62d3ea52cc148c0a92c5819c2ff1faa1_r.jpg\" alt=\"\"\/><\/figure>\n\n\n\n<p>\u5728\u8fd9\u7bc7\u7efc\u8ff0\u4e2d\uff0cNeural Rendering\u88ab\u5b9a\u4e49\u4e3a\uff1a<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>Deep image or video generation approaches that enable explicit or implicit control of scene properties such as illumination, camera parameters, pose, geometry, appearance, and semantic structure.<\/p><\/blockquote>\n\n\n\n<p>Neural Rendering\u5305\u542b\u6240\u6709<strong>\u4f7f\u7528\u795e\u7ecf\u7f51\u7edc\u751f\u6210\u53ef\u63a7\uff08\u4e14photo-realistic\uff09\u7684\u65b0\u56fe\u7247\u7684\u65b9\u6cd5<\/strong>\u3002\u201c\u53ef\u63a7\u201d\u6307\u4eba\u53ef\u4ee5\u663e\u5f0f\u6216\u9690\u5f0f\u5730\u63a7\u5236\u751f\u6210\u65b0\u56fe\u7247\u7684\u5c5e\u6027\uff0c\u5e38\u89c1\u7684\u5c5e\u6027\u5305\u62ec\uff1a\u5149\u7167\uff0c\u76f8\u673a\u5185\u53c2\uff0c\u76f8\u673a\u4f4d\u59ff\uff08\u5916\u53c2\uff09\uff0c\u51e0\u4f55\u5173\u7cfb\uff0c\u5916\u89c2\uff0c\u8bed\u4e49\u5206\u5272\u7ed3\u6784\u3002\u5728\u8fd9\u4e2a\u5927\u6846\u67b6\u4e0b\uff0cNeRF\u662f\u4e00\u79cd\u6bd4\u8f83\u53d7\u6b22\u8fce\u7684\u53ef\u63a7\u76f8\u673a\u4f4d\u59ff\u7684Neural Rendering\u7b97\u6cd5\u3002\u4f46Neural Rendering\u8fd9\u4e2a\u65b9\u5411\u4e0d\u6b62\u4e8e\u6b64\u3002<\/p>\n\n\n\n<p>\u5728\u76ee\u524d\u7684Neural Rendering\u65b9\u5411\uff0c\u6700\u706b\u7684\u5b50\u65b9\u5411\u5c31\u662f\u201cNovel View Synthesis\u201d\uff0c\u8fd9\u4e0eNeRF\u7684\u5f3a\u52bf\u8e7f\u7ea2\u5bc6\u4e0d\u53ef\u5206\uff1b\u7b2c\u4e8c\u706b\u7684\u5b50\u65b9\u5411\u662f\u201cSemantic Photo Synthesis\u201d\uff0c\u8fd9\u4e3b\u8981\u5f52\u529f\u4e8e\u8bed\u4e49\u5206\u5272\u4ee5\u53ca\u76f8\u5173\u7684GAN\u9886\u57df\u7684\u6210\u719f\u5ea6\u3002\u201cSemantic Photo Synthesis\u201d\u65b9\u5411\u4e5f\u662f\u6210\u679c\u9887\u4e30\uff0c\u4f8b\u59822019\u5e74CVPR\u7684<a href=\"https:\/\/openaccess.thecvf.com\/content_CVPR_2019\/papers\/Park_Semantic_Image_Synthesis_With_Spatially-Adaptive_Normalization_CVPR_2019_paper.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Semantic Image Synthesis with Spatially-Adaptive Normalization<\/a>\uff0c\u5176\u6548\u679c\u56fe\u5982\u4e0b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img src=\"https:\/\/pic1.zhimg.com\/v2-d8f5e3be3e5a4d79291c2bc4528a0afc_r.jpg\" alt=\"\"\/><figcaption>Semantic Image Synthesis<\/figcaption><\/figure>\n\n\n\n<p>\u6700\u540e\u6211\u4eec\u7ed9\u51fa\u4e00\u4e9b NeRF \u7684 paper list \u4ee5\u53ca\u4ee3\u7801\u6574\u7406:<\/p>\n\n\n\n<ul><li><a href=\"https:\/\/github.com\/vsitzmann\/awesome-implicit-representations\">https:\/\/github.com\/vsitzmann\/awesome-implicit-representations<\/a><\/li><\/ul>\n\n\n\n<ul><li><a href=\"https:\/\/github.com\/yenchenlin\/awesome-NeRF\">https:\/\/github.com\/yenchenlin\/awesome-NeRF<\/a><\/li><li>\u5b98\u65b9\u5b9e\u73b0\uff1a <a rel=\"noreferrer noopener\" href=\"https:\/\/github.com\/bmild\/nerf\" target=\"_blank\">https:\/\/github.com\/bmild\/nerf<\/a><\/li><li>Project Page: <a rel=\"noreferrer noopener\" href=\"https:\/\/www.matthewtancik.com\/nerf\" target=\"_blank\">https:\/\/www.matthewtancik.com\/nerf<\/a><\/li><li>Pytorch \u5b9e \u73b0\uff1a<a rel=\"noreferrer noopener\" href=\"https:\/\/github.com\/yenchenlin\/nerf-pytorch\" target=\"_blank\">https:\/\/github.com\/yenchenlin\/nerf-pytorch<\/a><\/li><li>Pytorch Lightning \u5b9e \u73b0(\u5305 \u62ec NeRF-W\u975e\u5b98\u65b9\u590d\u73b0)\uff1a<a rel=\"noreferrer noopener\" href=\"https:\/\/github.com\/kwea123\/nerf_pl\" target=\"_blank\">https:\/\/github.com\/kwea123\/nerf_pl<\/a><\/li><li>NeRF++(PyTorch DDP\u5b9e \u73b0): <a rel=\"noreferrer noopener\" href=\"https:\/\/github.com\/Kai-46\/nerfplusplus\" target=\"_blank\">https:\/\/github.com\/Kai-46\/nerfplusplus<\/a><\/li><li>JaxNeRF \uff1a<a rel=\"noreferrer noopener\" href=\"https:\/\/github.com\/google-research\/google-research\/tree\/master\/jaxnerf\" target=\"_blank\">https:\/\/github.com\/google-research\/google-research\/tree\/master\/jaxnerf<\/a><\/li><\/ul>\n\n\n\n<h3>\u7efc\u8ff0\u8bba\u6587<\/h3>\n\n\n\n<p>\u53ef\u4ee5\u8bf4\u662f\u5b98\u65b9\u7efc\u8ff0\uff0c\u4f5c\u8005\u5217\u8868\u662f\u76ee\u524d\u5728Neural Rendering\u9886\u57df\u6700\u6d3b\u8dc3\u7684\u4e00\u7fa4\u4eba\u3002\u4e24\u7bc7\u5206\u522b\u662f2021\u30012020\u5e74\u7684SIGGRAPH\u3001CVPR\u8bb2\u5ea7\u7528\u5230\u7684\u7efc\u8ff0\uff0c\u5f88\u5168\u9762\u5f88\u6709\u6761\u7406\uff0c\u503c\u5f97\u6bcf\u4f4d\u4ece\u4e1a\u8005\u4e00\u8bfb\uff01<\/p>\n\n\n\n<p>SIGGRAPH 2021 Course\uff1a\u3000<a href=\"https:\/\/arxiv.org\/abs\/2111.05849\" target=\"_blank\" rel=\"noreferrer noopener\">Advances in Neural Rendering<\/a><\/p>\n\n\n\n<p>CVPR 2020 Tutorial\uff1a\u3000<a href=\"https:\/\/arxiv.org\/abs\/2004.03805\" target=\"_blank\" rel=\"noreferrer noopener\">State of the Art on Neural Rendering<\/a><\/p>\n\n\n\n<p>\u8303\u56f4\u9650\u5b9a\u4e3a\u53ef\u5fae\u6e32\u67d3\u65b9\u6cd5\u7684\u7efc\u8ff0\uff1a<\/p>\n\n\n\n<p><a href=\"https:\/\/arxiv.org\/abs\/2006.12057\" target=\"_blank\" rel=\"noreferrer noopener\">Differentiable Rendering: A Survey<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u9879\u76ee\u4e3b\u9875\uff1ahttps:\/\/www.matthewtancik.com\/nerf \u8bba\u6587\u5730\u5740\uff1a https:\/\/a &hellip; <a href=\"http:\/\/139.9.1.231\/index.php\/2022\/10\/25\/nerfnet\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">NeRF\uff1a\u7c7b\u795e\u7ecf\u7f51\u8def\u5728View Synthesis\u7684\u70ed\u95e8\u65b0\u65b9\u5411<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[31],"tags":[],"_links":{"self":[{"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/posts\/9056"}],"collection":[{"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/comments?post=9056"}],"version-history":[{"count":97,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/posts\/9056\/revisions"}],"predecessor-version":[{"id":12047,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/posts\/9056\/revisions\/12047"}],"wp:attachment":[{"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/media?parent=9056"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/categories?post=9056"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/139.9.1.231\/index.php\/wp-json\/wp\/v2\/tags?post=9056"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}