{"id":3829,"date":"2025-05-31T22:30:09","date_gmt":"2025-05-31T14:30:09","guid":{"rendered":"https:\/\/www.caiqinyi.cn\/?p=3829"},"modified":"2025-05-31T22:30:09","modified_gmt":"2025-05-31T14:30:09","slug":"common_techniques_to_improve_shadow_depth_maps","status":"publish","type":"post","link":"https:\/\/www.caiqinyi.cn\/index.php\/2025\/05\/31\/common_techniques_to_improve_shadow_depth_maps\/","title":{"rendered":"\u63d0\u9ad8Shadow Depth Maps\u6027\u80fd\u7684\u5e38\u7528\u6280\u672f"},"content":{"rendered":"<p><script type=\"text\/javascript\" async src=\"https:\/\/www.caiqinyi.cn\/wp-content\/MathJax\/MathJax.js?config=TeX-AMS_CHTML\">\n<\/script><br \/>\n<script type=\"text\/x-mathjax-config\">\n    MathJax.Hub.Config({\n        tex2jax: {inlineMath: [['$','$']]},\n        TeX: {equationNumbers: {autoNumber: [\"AMS\"], useLabelIds: true}},\n        \"HTML-CSS\": {linebreaks: {automatic: true}},\n        SVG: {linebreaks: {automatic: true}}\n    });\n<\/script><\/p>\n<p>\u76ee\u524d\u9879\u76ee\u7ec4\u5c1a\u672a\u5f00\u542fNanite, \u6545\u4e5f\u4e00\u76f4\u6ca1\u6709\u597d\u597d\u5730\u94bb\u7814\u8fc7Nanite\u7b97\u6cd5. \u524d\u6bb5\u65f6\u95f4\u7ec8\u4e8e\u62bd\u51fa\u4e1a\u4f59\u65f6\u95f4, \u9759\u4e0b\u5fc3\u6765\u8ba4\u771f\u5b66\u5b8c\u4e86Games 104\u7684Nanite\u4e00\u8282\u5185\u5bb9, \u6536\u83b7\u9887\u591a. \u63a5\u4e0b\u6765\u6253\u7b97\u4ee5\u82e5\u5e72\u7bc7\u6587\u7ae0\u5b66\u900fNanite\u7684\u6280\u672f\u8981\u70b9, \u672c\u6587\u5148\u4ecb\u7ecd\u63d0\u9ad8Shadow Depth Maps\u6027\u80fd\u7684\u5e38\u7528\u6280\u672f, \u7ffb\u8bd1\u81ea\u5fae\u8f6f\u7684\u6280\u672f\u535a\u5ba2\u6587\u7ae0\u300aCommon Techniques to Improve Shadow Depth Maps\u300b.<\/p>\n<p><!--more--><\/p>\n<p><strong>\u53c2\u8003\u6750\u6599<\/strong><br \/>\n1. <a href=\"https:\/\/learn.microsoft.com\/en-us\/windows\/win32\/dxtecharts\/common-techniques-to-improve-shadow-depth-maps\">Common Techniques to Improve Shadow Depth Maps<\/a><br \/>\n2. <a href=\"https:\/\/www.bilibili.com\/video\/BV1Et4y1P7ro?spm_id_from=333.788.videopod.sections&#038;vd_source=71042933bac98e100d097571a3b97b3a\">22.GPU\u9a71\u52a8\u7684\u51e0\u4f55\u7ba1\u7ebf-nanite (Part 1) | GAMES104-\u73b0\u4ee3\u6e38\u620f\u5f15\u64ce\uff1a\u4ece\u5165\u95e8\u5230\u5b9e\u8df5<\/a><br \/>\n3. <a href=\"https:\/\/www.bilibili.com\/video\/BV17G4y1x7VX?spm_id_from=333.788.videopod.sections&#038;vd_source=71042933bac98e100d097571a3b97b3a\">22.GPU\u9a71\u52a8\u7684\u51e0\u4f55\u7ba1\u7ebf-nanite (Part 2) | GAMES104-\u73b0\u4ee3\u6e38\u620f\u5f15\u64ce\uff1a\u4ece\u5165\u95e8\u5230\u5b9e\u8df5<\/a><br \/>\n4. <a href=\"https:\/\/zhuanlan.zhihu.com\/p\/569476007\">Nanite<\/a><\/p>\n<p>1978\u5e74\u9996\u6b21\u5f15\u5165\u7684Shadow Depth Maps\u662f\u4e00\u79cd\u4e3a\u6e38\u620f\u6dfb\u52a0Shadow\u7684\u5e38\u7528\u6280\u672f. \u4e09\u5341\u5e74\u540e, \u5c3d\u7ba1\u786c\u4ef6\u548c\u8f6f\u4ef6\u90fd\u53d6\u5f97\u4e86\u8fdb\u6b65, \u4f46Shadow Artifacts\u2014\u2014 \u5373\u8fb9\u7f18\u95ea\u70c1, Aliasing\u4e0e\u5176\u5b83\u7cbe\u5ea6\u95ee\u9898\u4ecd\u7136\u5b58\u5728.<br \/>\n$\\\\$ \u672c\u6587\u6982\u8ff0\u4e86\u4e00\u4e9b\u5e38\u89c1\u7684Shadow Depth Maps\u7b97\u6cd5\u4e0e\u5e38\u89c1Artifacts, \u5e76\u4ecb\u7ecd\u4e86\u51e0\u79cd\u53ef\u7528\u4e8e\u63d0\u9ad8\u6807\u51c6\u7684Shadow Depth Maps\u8d28\u91cf\u7684\u6280\u672f(\u5b9e\u73b0\u96be\u5ea6\u4ece\u4f4e\u5230\u9ad8). \u5728\u6e38\u620f\u4e2d\u6dfb\u52a0\u57fa\u7840\u7684Shadow Depth Maps\u901a\u5e38\u5f88\u7b80\u5355, \u4f46\u7406\u89e3Shadow Artifacts\u7684\u7ec6\u5fae\u5dee\u522b\u5374\u5f88\u6709\u6311\u6218\u6027. \u672c\u6587\u662f\u4e3a\u5df2\u7ecf\u5b9e\u73b0Shadow\u4f46\u4e0d\u5b8c\u5168\u7406\u89e3\u4e3a\u4ec0\u4e48\u4f1a\u51fa\u73b0\u7279\u5b9a\u7684Artifacts\u4e5f\u4e0d\u786e\u5b9a\u5982\u4f55\u5904\u7406\u5b83\u4eec\u7684\u4e2d\u7ea7\u56fe\u5f62\u5f00\u53d1\u4eba\u5458\u7f16\u5199\u7684.<br \/>\n$\\\\$ \u9009\u62e9\u6b63\u786e\u7684\u6280\u672f\u6765\u7f13\u89e3\u7279\u5b9a\u7684Artifact\u662f\u975e\u5e38\u91cd\u8981\u7684. \u5f53Shadow Depth Maps\u7684\u7f3a\u70b9\u5f97\u4ee5\u89e3\u51b3\u65f6, \u8d28\u91cf\u4e0a\u7684\u5dee\u5f02\u4f1a\u4ee4\u4eba\u5370\u8c61\u6df1\u523b, \u5982\u4e0b\u56fe\u6240\u793a. \u6b63\u786e\u5730\u5b9e\u73b0\u8fd9\u4e9b\u6280\u672f\u5927\u5927\u63d0\u9ad8\u4e86Shadow Depth Maps\u7684\u8d28\u91cf.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/shadows-before-and-after.jpg\" alt=\"\" width=\"640\" height=\"243\" class=\"aligncenter size-full wp-image-3840\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/shadows-before-and-after.jpg 640w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/shadows-before-and-after-300x114.jpg 300w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><\/p>\n<p><strong>1. \u56de\u987eShadow Depth Maps<\/strong><\/p>\n<p>Shadow Depth Maps\u7b97\u6cd5\u662f\u4e00\u79cd\u53ccPass\u7b97\u6cd5. \u7b2c\u4e00\u6b65\u5728\u5149\u7a7a\u95f4\u4e2d\u751f\u6210Shadow Depth Maps. \u5728\u7b2c\u4e8c\u6b65\u4e2d, \u6bd4\u8f83\u6bcf\u4e2a\u50cf\u7d20\u5728\u5149\u7a7a\u95f4\u4e2d\u7684\u6df1\u5ea6\u4e0e\u5b83\u5728Shadow Depth Maps\u4e2d\u7684\u76f8\u5e94\u6df1\u5ea6, \u82e5\u4e0d\u901a\u8fc7\u6df1\u5ea6\u6d4b\u8bd5, \u5219\u8bf4\u660e\u8be5\u50cf\u7d20\u5904\u4e8eShadow\u4e2d.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/key-parts-of-shadow-scene.jpg\" alt=\"\" width=\"471\" height=\"259\" class=\"aligncenter size-full wp-image-3843\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/key-parts-of-shadow-scene.jpg 471w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/key-parts-of-shadow-scene-300x165.jpg 300w\" sizes=\"(max-width: 471px) 100vw, 471px\" \/><\/p>\n<p><strong>1.1 Pass1<\/strong><\/p>\n<p>\u573a\u666f\u5982\u4e0a\u56fe\u6240\u793a. \u5728\u7b2c\u4e00\u4e2aPass\u4e2d(\u5982\u4e0b\u56fe\u6240\u793a), \u4ece\u5149\u7684\u89d2\u5ea6\u5c06\u51e0\u4f55\u56fe\u5f62\u6e32\u67d3\u5230\u6df1\u5ea6\u7f13\u51b2\u4e2d. \u66f4\u5177\u4f53\u5730\u8bf4, \u9876\u70b9\u7740\u8272\u5668\u5c06\u51e0\u4f55\u4f53\u8f6c\u6362\u81f3\u5149\u7a7a\u95f4\u4e0b.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/first-pass-of-basic-hadow-mapping.png\" alt=\"\" width=\"649\" height=\"361\" class=\"aligncenter size-full wp-image-3844\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/first-pass-of-basic-hadow-mapping.png 649w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/first-pass-of-basic-hadow-mapping-300x167.png 300w\" sizes=\"(max-width: 649px) 100vw, 649px\" \/><\/p>\n<p><strong>1.2 Pass2<\/strong><\/p>\n<p>\u5728\u7b2c\u4e8c\u4e2aPass\u4e2d(\u5982\u4e0b\u56fe\u6240\u793a), \u9876\u70b9\u7740\u8272\u5668\u4f1a\u5bf9\u6bcf\u4e2a\u9876\u70b9\u6267\u884c\u4e24\u6b21\u53d8\u6362\u64cd\u4f5c:<br \/>\n$\\\\$ $\\cdot$ \u9996\u6b21\u53d8\u6362\u5c06\u9876\u70b9\u8f6c\u6362\u81f3\u76f8\u673a\u7684\u89c6\u56fe\u7a7a\u95f4, \u5e76\u5c06\u7ed3\u679c\u4f5c\u4e3a\u4f4d\u7f6e\u4fe1\u606f\u4f20\u9012\u7ed9\u50cf\u7d20\u7740\u8272\u5668.<br \/>\n$\\\\$ $\\cdot$ \u540c\u65f6\u8fdb\u884c\u7b2c\u4e8c\u6b21\u53d8\u6362, \u901a\u8fc7\u5149\u6e90\u7684\u89c6\u56fe-\u6295\u5f71-\u7eb9\u7406\u77e9\u9635\u5c06\u9876\u70b9\u8f6c\u6362, \u5e76\u5c06\u7ed3\u679c\u4f5c\u4e3a\u7eb9\u7406\u5750\u6807\u4f20\u9012\u7ed9\u50cf\u7d20\u7740\u8272\u5668.<br \/>\n$\\\\$ \u8fd9\u91cc\u4f7f\u7528\u7684\u89c6\u56fe-\u6295\u5f71-\u7eb9\u7406\u77e9\u9635\u4e0e\u7b2c\u4e00\u4e2aPass\u4e2d\u6e32\u67d3\u573a\u666f\u6240\u4f7f\u7528\u7684\u77e9\u9635\u5b8c\u5168\u76f8\u540c, \u4f46\u989d\u5916\u589e\u52a0\u4e86\u4e00\u4e2a\u5173\u952e\u53d8\u6362: \u8be5\u53d8\u6362\u4f1a\u5c06NDC(\u5176$x$\u5206\u91cf\u503c\u4e0e$y$\u5206\u91cf\u503c\u5747\u5728\u533a\u95f4$[-1, 1]$\u5185) \u4e2d\u7684\u70b9, \u901a\u8fc7\u7f29\u653e\u4e0e\u5e73\u79fb\u64cd\u4f5c\u8f6c\u6362\u81f3\u7eb9\u7406\u7a7a\u95f4(\u5176$x$\u5206\u91cf\u503c\u4e0e$y$\u5206\u91cf\u503c\u5747\u5728\u533a\u95f4$[0, 1]$\u5185), \u4ece\u800c\u5efa\u7acb\u4ece\u4e09\u7ef4\u573a\u666f\u5230\u4e8c\u7ef4Shadow Depth Maps\u7684\u6620\u5c04\u5173\u7cfb.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/second-pass-of-basic-shadow-mapping.png\" alt=\"\" width=\"636\" height=\"405\" class=\"aligncenter size-full wp-image-3850\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/second-pass-of-basic-shadow-mapping.png 636w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/second-pass-of-basic-shadow-mapping-300x191.png 300w\" sizes=\"(max-width: 636px) 100vw, 636px\" \/><\/p>\n<p><strong>2. Shadow Map Artifacts<\/strong><\/p>\n<p>Shadow Depth Maps\u7b97\u6cd5\u662f\u5e94\u7528\u6700\u5e7f\u6cdb\u7684\u5b9e\u65f6Shadow\u7b97\u6cd5, \u4f46\u4ecd\u7136\u4f1a\u4ea7\u751f\u4e00\u4e9b\u9700\u8981\u6d88\u9664\u7684Artifacts. \u4e0b\u9762\u5c06\u603b\u7ed3\u53ef\u80fd\u51fa\u73b0\u7684Artifacts\u7c7b\u578b.<\/p>\n<p><strong>2.1 Perspective Aliasing<\/strong><\/p>\n<p>Perspective Aliasing\u662f\u4e00\u79cd\u5e38\u89c1\u7684Artifact, \u5982\u4e0b\u56fe\u6240\u793a. \u5f53\u76f8\u673a\u7a7a\u95f4\u4e2d\u7684\u50cf\u7d20\u5230Shadow Depth Maps\u4e2d\u7684\u7eb9\u7d20\u7684\u6620\u5c04\u975e\u53cc\u5c04\u65f6, \u5c31\u4f1a\u53d1\u751f\u8fd9\u79cd\u60c5\u51b5. \u8fd9\u662f\u56e0\u4e3a\u76f8\u673a\u7a7a\u95f4\u4e2d\u9760\u8fd1\u8fd1\u88c1\u526a\u5e73\u9762\u7684\u50cf\u7d20\u8ddd\u79bb\u66f4\u8fd1, \u9700\u8981\u66f4\u9ad8\u7684Shadow Depth Maps\u5206\u8fa8\u7387.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/high-perspective-aliasing-vs-low-perspective-aliasing.jpg\" alt=\"\" width=\"640\" height=\"234\" class=\"aligncenter size-full wp-image-3853\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/high-perspective-aliasing-vs-low-perspective-aliasing.jpg 640w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/high-perspective-aliasing-vs-low-perspective-aliasing-300x110.jpg 300w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><center><em>\u5de6\u8fb9\u7684\u56fe\u50cf\u4e2d, Perspective Aliasing\u66f4\u660e\u663e; \u76f8\u673a\u7a7a\u95f4\u4e2d\u592a\u591a\u7684\u50cf\u7d20\u5173\u4e8eShadow Depth Maps\u7684\u7eb9\u7406\u5750\u6807\u662f\u76f8\u540c\u7684. \u800c\u5728\u53f3\u56fe\u4e2d, Perspective Aliasing\u76f8\u5bf9\u800c\u8a00\u8f83\u4e0d\u660e\u663e, \u56e0\u4e3a\u5728\u76f8\u673a\u7a7a\u95f4\u4e2d\u7684\u50cf\u7d20\u4e0eShadow Depth Maps\u4e2d\u7684\u7eb9\u7d20\u5b58\u5728\u53cc\u5c04.<\/em><\/center><\/p>\n<p>\u4e0b\u56fe\u5c55\u793a\u4e86Shadow Depth Maps\u4e0e\u89c6\u9525\u4f53. \u5728\u76f8\u673a\u9644\u8fd1, \u76f8\u90bb\u50cf\u7d20\u5728\u76f8\u673a\u7a7a\u95f4\u4e2d\u7684\u4f4d\u7f6e\u66f4\u63a5\u8fd1, \u8bb8\u591a\u50cf\u7d20\u5173\u4e8eShadow Depth Maps\u7684\u7eb9\u7406\u5750\u6807\u662f\u76f8\u540c\u7684. \u8fdc\u5e73\u9762\u4e0a\u7684\u76f8\u90bb\u50cf\u7d20\u5173\u4e8eShadow Depth Maps\u7684\u7eb9\u7406\u5750\u6807\u8ddd\u79bb\u8f83\u8fdc, \u4ece\u800c\u7f13\u89e3Perspective Aliasing.<br \/>\n$\\\\$ \u8fdc\u5e73\u9762\u4e0a\u8f83\u4eae\u7684\u50cf\u7d20\u8868\u793aLow-Perspective Aliasing, \u800c\u8fd1\u88c1\u526a\u5e73\u9762\u4e0a\u8f83\u6697\u7684\u50cf\u7d20\u5219\u8868\u793aHigh-Perspective Aliasing.<br \/>\n$\\\\$ Shadow Depth Maps\u7684\u5206\u8fa8\u7387\u4e5f\u53ef\u80fd\u8fc7\u9ad8. \u867d\u7136\u66f4\u9ad8\u7684\u5206\u8fa8\u7387\u53ef\u7f13\u89e3Perspective Aliasing, \u4f46\u5b83\u53ef\u80fd\u5bfc\u81f4\u5c0f\u7269\u4f53(\u5982\u7535\u8bdd\u7ebf) \u4e0d\u6295\u5c04Shadow. \u6b64\u5916, \u7531\u4e8e\u7eb9\u7406\u8bbf\u95ee\u6a21\u5f0f, \u5206\u8fa8\u7387\u8fc7\u9ad8\u53ef\u80fd\u4f1a\u5bfc\u81f4\u4e25\u91cd\u7684\u6027\u80fd\u95ee\u9898.<br \/>\n$\\\\$ Perspective Shadow Maps(PSMs) \u4e0e\u5149\u7a7a\u95f4Perspective Shadow Maps(LSPSMs) \u8bd5\u56fe\u901a\u8fc7\u5bf9\u5149\u7a7a\u95f4\u4e0b\u7684\u6295\u5f71\u77e9\u9635\u8fdb\u884c\u503e\u659c\u53d8\u6362\u6765\u89e3\u51b3Perspective Aliasing\u95ee\u9898, \u4ee5\u4fbf\u5728\u76f8\u673a\u9644\u8fd1\u63d0\u9ad8Shadow Depth Maps\u7684\u5229\u7528\u7387. \u4e0d\u5e78\u7684\u662f, \u8fd9\u4e24\u79cd\u6280\u672f\u90fd\u4e0d\u80fd\u89e3\u51b3Perspective Aliasing\u95ee\u9898. \u5c06\u76f8\u673a\u7a7a\u95f4\u4e0b\u7684\u50cf\u7d20\u6620\u5c04\u5230Shadow Depth Maps\u4e2d\u7684\u7eb9\u7d20\u6240\u9700\u7684\u53c2\u6570\u5316\u53d8\u6362\u4e0d\u80fd\u53d7\u5230\u7ebf\u6027\u503e\u659c\u53d8\u6362\u7684\u7ea6\u675f, \u4e00\u822c\u4f7f\u7528\u5bf9\u6570\u53c2\u6570\u5316. PSMs\u5728\u76f8\u673a\u9644\u8fd1\u7684Shadow Depth Maps\u4f7f\u7528\u4e86\u8fc7\u9ad8\u7684\u5206\u8fa8\u7387, \u5bfc\u81f4\u8fdc\u5904\u7684\u9634\u5f71\u8d28\u91cf\u5f88\u4f4e, \u751a\u81f3\u6d88\u5931. LSPSMs\u5728\u63d0\u9ad8\u76f8\u673a\u9644\u8fd1\u7684\u5206\u8fa8\u7387\u4e0e\u4e3a\u8fdc\u5904\u7684\u7269\u4f53\u7559\u4e0b\u8db3\u591f\u7684\u7ec6\u8282\u4e4b\u95f4\u627e\u5230\u4e86\u4e00\u4e2a\u66f4\u597d\u7684\u4e2d\u95f4\u65b9\u6848. \u5728\u67d0\u4e9b\u573a\u666f\u914d\u7f6e\u4e2d, \u8fd9\u4e24\u79cd\u6280\u672f\u90fd\u9000\u5316\u4e3a\u6b63\u4ea4\u6295\u5f71. \u8fd9\u79cd\u9000\u5316\u53ef\u4ee5\u901a\u8fc7\u4e3a\u89c6\u9525\u4f53\u7684\u6bcf\u4e2a\u9762\u6e32\u67d3\u5355\u72ec\u7684Shadow Depth Maps\u6765\u62b5\u6d88, \u5c3d\u7ba1\u5982\u6b64\u4e00\u6765\u6027\u80fd\u5f00\u9500\u8f83\u4e3a\u6602\u8d35. \u5bf9\u6570Perspective Shadow Maps(LogPSMs) \u4e5f\u4e3a\u89c6\u9525\u4f53\u7684\u6bcf\u4e2a\u9762\u6e32\u67d3\u4e00\u4e2a\u5355\u72ec\u7684Shadow Depth Maps, \u8fd9\u79cd\u6280\u672f\u4f7f\u7528\u975e\u7ebf\u6027\u5149\u6805\u5316\u5728\u76f8\u673a\u9644\u8fd1\u4f7f\u7528\u66f4\u9ad8\u5206\u8fa8\u7387\u7684Shadow Depth Maps. D3D10\u548cD3D11\u7c7b\u786c\u4ef6\u4e0d\u652f\u6301\u975e\u7ebf\u6027\u5149\u6805\u5316.<br \/>\n$\\\\$ Cascaded Shadow Maps(CSM) \u662f\u5904\u7406Perspective Aliasing\u6700\u6d41\u884c\u7684\u6280\u672f. \u867d\u7136CSM\u53ef\u4ee5\u4e0ePSM, LSPSM\u7ec4\u5408, \u4f46\u8fd9\u662f\u4e0d\u5fc5\u8981\u7684.<\/p>\n<p><strong>2.2 Projective Aliasing<\/strong><\/p>\n<p>Projective Aliasing\u6bd4Perspective Aliasing\u66f4\u96be\u5c55\u793a. \u4e0b\u56fe\u4e2d\u7a81\u51fa\u663e\u793a\u7684\u81a8\u80c0Shadow\u5c55\u793a\u4e86Projective Aliasing. \u5f53\u76f8\u673a\u7a7a\u95f4\u4e2d\u7684\u50cf\u7d20\u4e0e\u5149\u7a7a\u95f4\u4e2d\u7684\u50cf\u7d20\u4e4b\u95f4\u7684\u6620\u5c04\u975e\u53cc\u5c04\u65f6, \u5c31\u4f1a\u51fa\u73b0Projective Aliasing, \u8fd9\u662f\u7531\u51e0\u4f55\u4f53\u76f8\u5bf9\u4e8e\u5149\u6e90\u7684\u671d\u5411\u5bfc\u81f4\u7684. \u5f53\u51e0\u4f55\u4f53\u7684\u5207\u9762\u4e0e\u5149\u7ebf\u5e73\u884c\u65f6, \u5c31\u4f1a\u51fa\u73b0Projective Aliasing.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/high-projective-aliasing-vs-low-projective-aliasing.jpg\" alt=\"\" width=\"662\" height=\"240\" class=\"aligncenter size-full wp-image-3865\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/high-projective-aliasing-vs-low-projective-aliasing.jpg 662w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/high-projective-aliasing-vs-low-projective-aliasing-300x109.jpg 300w\" sizes=\"(max-width: 662px) 100vw, 662px\" \/><\/p>\n<p>\u7528\u4e8e\u7f13\u89e3Perspective Aliasing\u7684\u6280\u672f\u4e5f\u53ef\u4ee5\u7528\u4e8e\u7f13\u89e3Projective Aliasing. \u5f53\u51e0\u4f55\u4f53\u8868\u9762\u6cd5\u7ebf\u4e0e\u5149\u7ebf\u6b63\u4ea4\u65f6, \u4f1a\u53d1\u751fProjective Aliasing; \u6839\u636e\u6f2b\u53cd\u5c04\u5149\u7167\u65b9\u7a0b, \u8fd9\u7c7b\u51e0\u4f55\u4f53\u8868\u9762\u5e94\u8be5\u63a5\u6536\u8f83\u5c11\u7684\u5149.<\/p>\n<p><strong>2.3 Shadow Acne\u4e0e\u9519\u8bef\u7684Self-Shadowing<\/strong><\/p>\n<p>Shadow Acne(\u5982\u4e0b\u56fe\u6240\u793a) \u662f\u56fe\u5f62\u6e32\u67d3\u4e2d\u56e0Self-Shadowing\u8ba1\u7b97\u9519\u8bef\u4ea7\u751f\u7684\u672f\u8bed, \u5176\u4ea7\u751f\u673a\u5236\u5728\u4e8e: \u5f53Shader\u5728\u6bd4\u8f83\u50cf\u7d20\u7684\u5b9e\u9645\u6df1\u5ea6\u503c\u4e0eShadow Depth Maps\u4e0a\u5bf9\u5e94\u7eb9\u7d20\u7684\u6df1\u5ea6\u503c\u65f6, \u88ab\u9519\u8bef\u5730\u5224\u65ad\u4e3aSelf-Shadowing.<br \/>\n$\\\\$ Shadow Acne\u7684\u53e6\u4e00\u4e2a\u539f\u56e0\u662f, \u5149\u7a7a\u95f4\u4e2d\u50cf\u7d20\u7684\u5b9e\u9645\u6df1\u5ea6\u503c\u4e0eShadow Depth Maps\u4e0a\u5bf9\u5e94\u7eb9\u7d20\u7684\u6df1\u5ea6\u503c\u975e\u5e38\u63a5\u8fd1, \u7cbe\u5ea6\u8bef\u5dee\u5bfc\u81f4\u6df1\u5ea6\u6d4b\u8bd5\u9519\u8bef\u5730\u5931\u8d25. \u9020\u6210\u8fd9\u79cd\u7cbe\u5ea6\u5dee\u5f02\u7684\u4e00\u4e2a\u539f\u56e0\u662f\u6df1\u5ea6\u56fe\u7531\u56fa\u5b9a\u529f\u80fd\u7684\u786c\u4ef6\u5149\u6805\u5316\u7ba1\u7ebf\u751f\u6210, \u800c\u53c2\u4e0e\u6bd4\u8f83\u7684\u6df1\u5ea6\u503c\u5219\u7531\u7740\u8272\u5668\u5b9e\u65f6\u8ba1\u7b97\u5f97\u51fa. \u6b64\u5916, Projective Aliasing\u4e5f\u4f1a\u5bfc\u81f4Shadow Acne.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/shadow-acne-artifact.jpg\" alt=\"\" width=\"659\" height=\"232\" class=\"aligncenter size-full wp-image-3868\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/shadow-acne-artifact.jpg 659w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/shadow-acne-artifact-300x106.jpg 300w\" sizes=\"(max-width: 659px) 100vw, 659px\" \/><\/p>\n<p>\u5982\u5de6\u56fe\u6240\u793a, \u4e00\u4e9b\u50cf\u7d20\u672a\u80fd\u901a\u8fc7\u6df1\u5ea6\u6d4b\u8bd5, \u4ea7\u751f\u4e86\u6591\u70b9\u4e0e\u6ce2\u7eb9\u56fe\u6848. \u4e3a\u4e86\u51cf\u5c11\u9519\u8bef\u7684Self-Shadowing\u95ee\u9898, \u5e94\u5c3d\u53ef\u80fd\u7cbe\u786e\u5730\u8ba1\u7b97\u5149\u7a7a\u95f4\u89c6\u9525\u4f53\u7684\u8fd1\u88c1\u526a\u5e73\u9762\u4e0e\u8fdc\u88c1\u526a\u5e73\u9762\u7684\u8fb9\u754c\u8303\u56f4. \u6b64\u5916, \u91c7\u7528\u57fa\u4e8e\u659c\u7387\u7684\u6df1\u5ea6\u504f\u79fb\u7b56\u7565\u4e0e\u5176\u5b83\u7c7b\u578b\u7684\u504f\u79fb\u7b56\u7565\u4ea6\u662f\u7528\u4e8e\u7f13\u89e3Shadow Acne\u7684\u5e38\u7528\u89e3\u51b3\u65b9\u6848.<\/p>\n<p><strong>2.4 Peter Panning<\/strong><\/p>\n<p>Peter Panning\u8fd9\u4e00\u672f\u8bed\u6e90\u81ea\u513f\u7ae5\u8bfb\u7269\u4e2d\u7684\u7ecf\u5178\u89d2\u8272, \u5176\u5f71\u5b50\u8131\u79bb\u8eab\u4f53\u540e\u4fbf\u83b7\u5f97\u4e86\u98de\u884c\u80fd\u529b. \u8fd9\u79cdArtifact\u8868\u73b0\u4e3a: \u7269\u4f53\u4e0d\u6295\u5c04Shadow, \u4ea7\u751f\u4e0e\u63a5\u89e6\u9762\u5206\u79bb\u5e76\u60ac\u6d6e\u5728\u7a7a\u4e2d\u7684\u5f02\u5e38\u73b0\u8c61.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/peter-panning-artifact.jpg\" alt=\"\" width=\"666\" height=\"234\" class=\"aligncenter size-full wp-image-3871\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/peter-panning-artifact.jpg 666w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/peter-panning-artifact-300x105.jpg 300w\" sizes=\"(max-width: 666px) 100vw, 666px\" \/><center><em>\u5728\u5de6\u56fe\u4e2d, Shadow\u4e0e\u7269\u4f53\u5206\u79bb, \u5448\u73b0\u4e00\u79cd\u6f02\u6d6e\u6548\u679c.<\/em><\/center><\/p>\n<p>\u6d88\u9664\u8868\u9762Acne\u7684\u4e00\u79cd\u6280\u672f\u662f: \u5728\u5149\u7a7a\u95f4\u4e2d\u5bf9\u50cf\u7d20\u4f4d\u7f6e\u6dfb\u52a0\u4e00\u4e2a\u504f\u79fb\u91cf, \u8fd9\u88ab\u79f0\u4e3a\u65bd\u52a0\u6df1\u5ea6\u504f\u79fb. \u5f53\u4f7f\u7528\u7684\u6df1\u5ea6\u504f\u79fb\u91cf\u8fc7\u5927\u65f6, \u4f1a\u4ea7\u751fPeter Panning\u73b0\u8c61, \u6b64\u65f6\u8fc7\u5927\u7684\u6df1\u5ea6\u504f\u79fb\u91cf\u4f1a\u5bfc\u81f4\u6df1\u5ea6\u6d4b\u8bd5\u88ab\u9519\u8bef\u5730\u901a\u8fc7. \u4e0eShadow Acne\u73b0\u8c61\u7c7b\u4f3c, \u5f53\u6df1\u5ea6\u7f13\u51b2\u533a\u7684\u7cbe\u5ea6\u4e0d\u8db3\u65f6, Peter Panning\u73b0\u8c61\u4f1a\u53d8\u5f97\u66f4\u52a0\u663e\u8457. \u7cbe\u786e\u8ba1\u7b97\u8fd1\u88c1\u526a\u5e73\u9762\u548c\u8fdc\u88c1\u526a\u5e73\u9762\u7684\u8303\u56f4, \u4e5f\u6709\u52a9\u4e8e\u907f\u514dPeter Panning\u73b0\u8c61\u7684\u53d1\u751f.<\/p>\n<p><strong>3. \u6539\u8fdbShadow Depth Maps\u7684\u6280\u672f<\/strong><\/p>\n<p>\u6dfb\u52a0Shadow\u662f\u4e00\u4e2a\u5206\u9636\u6bb5\u7684\u6280\u672f\u5b9e\u73b0\u8fc7\u7a0b. \u9996\u8981\u6b65\u9aa4\u662f\u5b9e\u73b0\u57fa\u7840\u7684Shadow Depth Maps\u7684\u529f\u80fd\u9a8c\u8bc1. \u7b2c\u4e8c\u9636\u6bb5\u9700\u5bf9\u6240\u6709\u5e95\u5c42\u8ba1\u7b97\u8fdb\u884c\u6df1\u5ea6\u4f18\u5316: \u9700\u786e\u4fdd\u76f8\u673a\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u7684\u8fd1\/\u8fdc\u88c1\u526a\u9762\u7684\u8303\u56f4\u8ba1\u7b97\u9700\u7cbe\u786e\u8d34\u5408\u573a\u666f, \u91c7\u7528\u57fa\u4e8e\u659c\u7387\u7684\u6df1\u5ea6\u504f\u79fb\u7b56\u7565\u7b49. \u5f53\u57fa\u7840\u7684Shadow\u7cfb\u7edf\u6210\u529f\u542f\u7528\u5e76\u8fbe\u5230\u6700\u4f73\u53ef\u89c6\u5316\u6548\u679c\u540e, \u5f00\u53d1\u8005\u53ef\u636e\u6b64\u660e\u786e\u540e\u7eed\u6240\u9700\u7684\u9ad8\u7ea7\u7b97\u6cd5, \u4ee5\u63d0\u5347Shadow\u4fdd\u771f\u5ea6\u81f3\u9879\u76ee\u8981\u6c42\u7684\u6807\u51c6. \u672c\u8282\u5c06\u91cd\u70b9\u9610\u8ff0\u5b9e\u73b0\u9ad8\u54c1\u8d28Shadow Depth Maps\u6240\u9700\u7684\u57fa\u7840\u4f18\u5316\u6280\u5de7, \u6db5\u76d6\u89c6\u9525\u4f53\u9002\u914d\u7b56\u7565, \u6df1\u5ea6\u7f13\u51b2\u533a\u7cbe\u5ea6\u63a7\u5236\u53ca\u504f\u79fb\u53c2\u6570\u8c03\u4f18\u7b49\u6838\u5fc3\u5b9e\u8df5\u7b56\u7565.<\/p>\n<p><strong>3.1 \u6839\u636e\u659c\u7387\u8c03\u6574\u6df1\u5ea6\u504f\u79fb<\/strong><\/p>\n<p>\u5982\u524d\u6587\u6240\u8ff0, Self-Shadowing\u53ef\u80fd\u5bfc\u81f4Shadow Acne. \u800c\u8fc7\u5ea6\u65bd\u52a0\u6df1\u5ea6\u504f\u79fb\u5219\u4f1a\u5bfc\u81f4Peter Panning\u73b0\u8c61(\u7269\u4f53\u770b\u4f3c\u5728\u5f02\u5e38\u60ac\u6d6e). \u6b64\u5916, \u76f8\u5bf9\u4e8e\u5149\u6e90\u65b9\u5411\u7684\u659c\u7387\u7edd\u5bf9\u503c\u8f83\u5927\u7684\u591a\u8fb9\u5f62, \u5176\u4ea7\u751f\u7684Projective Aliasing\u95ee\u9898\u4f1a\u6bd4\u5176\u5b83\u591a\u8fb9\u5f62\u66f4\u4e3a\u4e25\u91cd. \u57fa\u4e8e\u6b64\u7279\u6027, \u6bcf\u4e2aShadow Depth Map\u53ef\u80fd\u9700\u8981\u6839\u636e\u76f8\u5bf9\u4e8e\u5149\u6e90\u65b9\u5411\u7684\u659c\u7387\u7edd\u5bf9\u503c, \u52a8\u6001\u5e94\u7528\u5dee\u5f02\u5316\u7684\u6df1\u5ea6\u504f\u79fb\u91cf. \u8fd9\u79cd\u57fa\u4e8e\u51e0\u4f55\u7279\u5f81\u7684\u504f\u79fb\u8c03\u6574\u673a\u5236, \u6b63\u662f\u6839\u636e\u659c\u7387\u8c03\u6574\u6df1\u5ea6\u504f\u79fb\u6280\u672f\u7684\u6838\u5fc3\u8bbe\u8ba1\u539f\u7406.<br \/>\n$\\\\$ \u652f\u6301Direct3D 10\u7684\u786c\u4ef6\u5177\u5907\u6839\u636e\u591a\u8fb9\u5f62\u76f8\u5bf9\u4e8e\u89c2\u5bdf\u65b9\u5411\u7684\u659c\u7387\u5bf9\u5176\u6df1\u5ea6\u65bd\u52a0\u504f\u79fb\u7684\u80fd\u529b. \u8fd9\u79cd\u673a\u5236\u7684\u6548\u679c\u662f: \u5f53\u591a\u8fb9\u5f62\u76f8\u5bf9\u4e8e\u5149\u6e90\u65b9\u5411\u7684\u659c\u7387\u7edd\u5bf9\u503c\u8f83\u5927\u65f6, \u4f1a\u5bf9\u5176\u6df1\u5ea6\u65bd\u52a0\u8f83\u5927\u7684\u504f\u79fb\u91cf; \u800c\u5f53\u591a\u8fb9\u5f62\u76f4\u63a5\u9762\u5411\u5149\u6e90\u65f6, \u5219\u4e0d\u4f1a\u5bf9\u5176\u6df1\u5ea6\u65bd\u52a0\u4efb\u4f55\u504f\u79fb. \u5982\u4e0b\u56fe\u6240\u793a, \u5f53\u672a\u6839\u636e\u659c\u7387\u8c03\u6574\u6df1\u5ea6\u504f\u79fb\u65f6, \u540c\u4e00\u8868\u9762\u4e0a\u7684\u4e24\u4e2a\u76f8\u90bb\u50cf\u7d20\u53ef\u80fd\u5448\u73b0\u6295\u5f71\u4e0e\u4e0d\u6295\u5f71\u4ea4\u66ff\u51fa\u73b0\u7684\u73b0\u8c61.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/slope-scaled-depth-bias-compared-to-unbiased-depth.png\" alt=\"\" width=\"346\" height=\"223\" class=\"aligncenter size-full wp-image-3879\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/slope-scaled-depth-bias-compared-to-unbiased-depth.png 346w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/slope-scaled-depth-bias-compared-to-unbiased-depth-300x193.png 300w\" sizes=\"(max-width: 346px) 100vw, 346px\" \/><\/p>\n<p><strong>3.2 \u8ba1\u7b97\u76f8\u673a\u7a7a\u95f4\u7684\u89c6\u9525\u4f53, \u4f7f\u573a\u666f\u5728\u5176\u8fdc\u88c1\u526a\u5e73\u9762\u4e0a\u7684\u6295\u5f71\u5c3d\u53ef\u80fd\u8d34\u5408\u5176\u8fdc\u88c1\u526a\u5e73\u9762\u8fb9\u754c<\/strong><\/p>\n<p>\u5bf9\u4e8e\u76f8\u673a\u7a7a\u95f4\u7684\u89c6\u9525\u4f53, \u5f53\u573a\u666f\u5728\u5176\u8fdc\u88c1\u526a\u5e73\u9762\u4e0a\u7684\u6295\u5f71\u5c3d\u53ef\u80fd\u8d34\u5408\u5176\u8fdc\u88c1\u526a\u5e73\u9762\u8fb9\u754c\u65f6, \u53ef\u63d0\u5347Shadow Depth Maps\u7684\u5229\u7528\u7387. \u5982\u4e0b\u56fe\u6240\u793a, \u82e5\u91c7\u7528\u4efb\u610f\u89c6\u9525\u4f53\u6216\u7b80\u5355\u5730\u5c06\u76f8\u673a\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u4e0e\u573a\u666f\u8fb9\u754c\u8fdb\u884c\u9002\u914d, \u4f1a\u5bfc\u81f4\u66f4\u4e25\u91cd\u7684Perspective Aliasing\u73b0\u8c61.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/arbitrary-shadow-frustum-and-shadow-frustum-fit-to-scene.jpg\" alt=\"\" width=\"649\" height=\"396\" class=\"aligncenter size-full wp-image-3883\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/arbitrary-shadow-frustum-and-shadow-frustum-fit-to-scene.jpg 649w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/arbitrary-shadow-frustum-and-shadow-frustum-fit-to-scene-300x183.jpg 300w\" sizes=\"(max-width: 649px) 100vw, 649px\" \/><\/p>\n<p>\u8be5\u89c6\u56fe\u662f\u4ece\u5149\u6e90\u7684\u89c6\u89d2\u5448\u73b0\u7684. \u68af\u5f62\u8868\u793a\u76f8\u673a\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u5728\u5149\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u7684\u8fdc\u88c1\u526a\u5e73\u9762\u4e0a\u7684\u6295\u5f71, \u8986\u76d6\u5728\u56fe\u50cf\u4e0a\u7684\u7f51\u683c\u4ee3\u8868Shadow Depth Map. \u53f3\u4fa7\u56fe\u50cf\u8868\u660e, \u5f53\u573a\u666f\u4e0e\u76f8\u673a\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u5728\u5149\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u7684\u8fdc\u88c1\u526a\u5e73\u9762\u4e0a\u7684\u6295\u5f71\u5c3d\u53ef\u80fd\u8d34\u5408\u65f6(\u5de6\u56fe\u8868\u793a\u4e0d\u7d27\u5bc6\u8d34\u5408\u7684\u60c5\u5f62, \u53f3\u56fe\u8868\u793a\u7d27\u5bc6\u8d34\u5408\u7684\u60c5\u5f62), \u76f8\u540c\u5206\u8fa8\u7387\u7684Shadow Depth Maps\u80fd\u8986\u76d6\u66f4\u591a\u50cf\u7d20, \u4ece\u800c\u663e\u8457\u63d0\u5347Shadow\u7ec6\u8282\u7684\u7cbe\u5ea6\u548c\u91c7\u6837\u6548\u7387.<br \/>\n$\\\\$ \u4e0b\u56fe\u5c55\u793a\u4e86\u573a\u666f\u4e0e\u76f8\u673a\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u5728\u5149\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u7684\u8fdc\u88c1\u526a\u5e73\u9762\u4e0a\u7684\u6295\u5f71\u8d34\u5408\u7684\u60c5\u5f62. \u4e3a\u8fdb\u884c\u6295\u5f71\u8ba1\u7b97, \u6784\u6210\u76f8\u673a\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u7684\u516b\u4e2a\u9876\u70b9\u4f1a\u88ab\u8f6c\u6362\u81f3\u5149\u7a7a\u95f4\u4e0b. \u968f\u540e, \u901a\u8fc7\u63d0\u53d6\u5149\u7a7a\u95f4\u4e0b\u516b\u4e2a\u9876\u70b9\u7684$x$\u5206\u91cf\u4e0e$y$\u5206\u91cf\u7684\u6700\u5c0f\u503c\u4e0e\u6700\u5927\u503c, \u786e\u5b9a\u6b63\u4ea4\u6295\u5f71\u7684\u8fb9\u754c\u8303\u56f4.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/shadow-projection-fit-to-view-frustum.jpg\" alt=\"\" width=\"659\" height=\"368\" class=\"aligncenter size-full wp-image-3888\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/shadow-projection-fit-to-view-frustum.jpg 659w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/shadow-projection-fit-to-view-frustum-300x168.jpg 300w\" sizes=\"(max-width: 659px) 100vw, 659px\" \/><\/p>\n<p>\u4e5f\u53ef\u4ee5\u901a\u8fc7\u5c06\u76f8\u673a\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u8fdb\u884c\u88c1\u526a, \u4f7f\u5176\u5728\u5149\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u7684\u8fdc\u88c1\u526a\u5e73\u9762\u4e0a\u7684\u6295\u5f71\u5305\u542b\u4e8e\u573a\u666f\u7684AABB\u5728\u5149\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u7684\u8fdc\u88c1\u526a\u5e73\u9762\u4e0a\u7684\u6295\u5f71, \u4ee5\u6b64\u83b7\u5f97\u66f4\u5408\u9002\u7684\u76f8\u673a\u7a7a\u95f4\u7684\u89c6\u9525\u4f53. \u4f46\u8fd9\u5e76\u4e0d\u9002\u7528\u4e8e\u6240\u6709\u60c5\u51b5, \u56e0\u4e3a\u8fd9\u53ef\u80fd\u5bfc\u81f4Shadow Depth Maps\u7684\u5229\u7528\u7387\u9010\u5e27\u53d1\u751f\u53d8\u5316. \u5f53Shadow Depth Maps\u7684\u5229\u7528\u7387\u9700\u8981\u4fdd\u6301\u6bcf\u5e27\u6052\u5b9a\u65f6, \u6b64\u7c7b\u65b9\u6cd5\u53ef\u80fd\u65e0\u6cd5\u8fbe\u5230\u6700\u4f73\u6548\u679c.<\/p>\n<p><strong>3.3 \u8ba1\u7b97\u8fd1\u88c1\u526a\u5e73\u9762\u4e0e\u8fdc\u88c1\u526a\u5e73\u9762<\/strong><\/p>\n<p>\u8fd1\u88c1\u526a\u5e73\u9762\u4e0e\u8fdc\u88c1\u526a\u5e73\u9762\u662f\u8ba1\u7b97\u6295\u5f71\u77e9\u9635\u6240\u9700\u7684\u6700\u540e\u4e24\u4e2a\u5173\u952e\u53c2\u6570. \u8fd9\u4e24\u4e2a\u88c1\u526a\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u8d8a\u8fd1, \u6df1\u5ea6\u7f13\u51b2\u533a\u4e2d\u7684\u6570\u503c\u7cbe\u5ea6\u5c31\u8d8a\u9ad8.<br \/>\n$\\\\$ \u6df1\u5ea6\u7f13\u51b2\u533a\u7684\u4f4d\u6570\u901a\u5e38\u4e3a16\u4f4d, 24\u4f4d\u621632\u4f4d, \u5176\u6570\u503c\u8303\u56f4\u57280\u52301\u4e4b\u95f4. \u4e00\u822c\u60c5\u51b5\u4e0b, \u6df1\u5ea6\u7f13\u51b2\u533a\u91c7\u7528\u5b9a\u70b9\u6570\u683c\u5f0f, \u9760\u8fd1\u8fd1\u88c1\u526a\u5e73\u9762\u7684\u6570\u503c\u5206\u5e03\u6bd4\u9760\u8fd1\u8fdc\u88c1\u526a\u5e73\u9762\u7684\u6570\u503c\u66f4\u5bc6\u96c6. \u6df1\u5ea6\u7f13\u51b2\u533a\u7684\u53ef\u7528\u7cbe\u5ea6\u53d6\u51b3\u4e8e\u8fd1\u88c1\u526a\u9762\u4e0e\u8fdc\u88c1\u526a\u9762\u7684$z$\u5206\u91cf\u6bd4\u4f8b. \u901a\u8fc7\u5c3d\u53ef\u80fd\u7f29\u5c0f\u8fd1\/\u8fdc\u88c1\u526a\u5e73\u9762\u7684\u95f4\u8ddd, \u5373\u4f7f\u4f7f\u752816\u4f4d\u6df1\u5ea6\u7f13\u51b2\u533a\u4e5f\u80fd\u6ee1\u8db3\u7cbe\u5ea6\u9700\u6c42. \u91c7\u752816\u4f4d\u6df1\u5ea6\u7f13\u51b2\u533a\u53ef\u5728\u4fdd\u8bc1\u6e32\u67d3\u7cbe\u5ea6\u7684\u540c\u65f6, \u6709\u6548\u51cf\u5c11\u5185\u5b58\u5360\u7528\u5e76\u63d0\u5347\u5904\u7406\u901f\u5ea6.<\/p>\n<p><strong>3.4 \u57fa\u4e8eAABB\u7684\u8fd1\u88c1\u526a\u5e73\u9762\u4e0e\u8fdc\u88c1\u526a\u5e73\u9762<\/strong><\/p>\n<p>\u4e00\u79cd\u7b80\u5355\u4e14\u76f4\u89c2\u7684\u8ba1\u7b97\u8fd1\u88c1\u526a\u5e73\u9762\u4e0e\u8fdc\u88c1\u526a\u5e73\u9762\u7684\u65b9\u6cd5\u662f: \u5c06\u573a\u666f\u7684AABB\u8f6c\u6362\u81f3\u5149\u7a7a\u95f4\u4e0b, \u4ee4\u53d8\u6362\u540e\u5305\u56f4\u76d2\u6240\u6709\u9876\u70b9\u7684\u6700\u5c0f$z$\u5206\u91cf\u503c\u4e3a$z_{min}$, \u6700\u5927$z$\u5206\u91cf\u503c\u4e3a$z_{max}$, \u5c06\u8fd1\u88c1\u526a\u5e73\u9762\u8bbe\u5b9a\u4e3a\u4e0e\u5149\u7a7a\u95f4\u7684$z$\u8f74\u5782\u76f4\u4e14\u901a\u8fc7$(0, 0, z_{min})$\u7684\u5e73\u9762, \u5c06\u8fdc\u88c1\u526a\u5e73\u9762\u8bbe\u5b9a\u4e3a\u4e0e\u5149\u7a7a\u95f4\u7684$z$\u8f74\u5782\u76f4\u4e14\u901a\u8fc7$(0, 0, z_{max})$\u7684\u5e73\u9762. \u5bf9\u4e8e\u5927\u591a\u6570\u573a\u666f\u4e0e\u5149\u6e90\u914d\u7f6e\u800c\u8a00, \u8fd9\u79cd\u65b9\u6cd5\u5b8c\u5168\u9002\u7528. \u7136\u800c\u5728\u6700\u574f\u60c5\u51b5\u4e0b, \u8fd9\u79cd\u7b56\u7565\u4f1a\u5bfc\u81f4\u6df1\u5ea6\u7f13\u51b2\u533a\u7684\u7cbe\u5ea6\u663e\u8457\u4e0b\u964d(\u5982\u4e0b\u56fe\u6240\u793a\u6848\u4f8b). \u5728\u8be5\u793a\u4f8b\u4e2d, \u8fd1\/\u8fdc\u88c1\u526a\u5e73\u9762\u7684\u95f4\u8ddd\u8303\u56f4\u6bd4\u5b9e\u9645\u9700\u6c42\u6269\u5927\u4e86\u56db\u500d.<br \/>\n$\\\\$ \u4e0b\u56fe\u4e2d\u5c55\u793a\u7684\u76f8\u673a\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u4f53\u79ef\u88ab\u523b\u610f\u8bbe\u8ba1\u5f97\u8f83\u5c0f. \u8be5\u573a\u666f\u89c4\u6a21\u8f83\u5927, \u5305\u542b\u4ece\u76f8\u673a\u5ef6\u4f38\u51fa\u53bb\u7684\u4f17\u591a\u67f1\u72b6\u7ed3\u6784. \u6b64\u65f6\u82e5\u76f4\u63a5\u91c7\u7528\u573a\u666f\u7684AABB\u7684\u5750\u6807\u8303\u56f4\u6765\u786e\u5b9a\u8fd1\/\u8fdc\u88c1\u526a\u5e73\u9762\u5e76\u975e\u6700\u4f18\u65b9\u6848(\u5982\u4e0b\u56fe\u6240\u793a). Cascaded Shadow Maps(CSMs) \u7b97\u6cd5\u9700\u8981\u9488\u5bf9\u8fd9\u79cd\u5fae\u578b\u89c6\u9525\u4f53\u7ed3\u6784, \u7cbe\u786e\u8ba1\u7b97\u51fa\u4e0e\u4e4b\u5339\u914d\u7684\u8fd1\/\u8fdc\u88c1\u526a\u5e73\u9762\u53c2\u6570.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/near-far-planes-based-on-scene-aabb.jpg\" alt=\"\" width=\"603\" height=\"525\" class=\"aligncenter size-full wp-image-3895\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/near-far-planes-based-on-scene-aabb.jpg 603w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/near-far-planes-based-on-scene-aabb-300x261.jpg 300w\" sizes=\"(max-width: 603px) 100vw, 603px\" \/><\/p>\n<p><strong>3.5 \u57fa\u4e8e\u89c6\u9525\u4f53\u7684\u8fd1\u88c1\u526a\u5e73\u9762\u548c\u8fdc\u88c1\u526a\u5e73\u9762<\/strong><\/p>\n<p>\u53e6\u4e00\u79cd\u8ba1\u7b97\u8fd1\/\u8fdc\u88c1\u526a\u5e73\u9762\u7684\u6280\u672f\u65b9\u6848\u662f: \u5c06\u76f8\u673a\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u53d8\u6362\u81f3\u5149\u7a7a\u95f4\u4e0b, \u5e76\u4ee4\u53d8\u6362\u540e\u89c6\u9525\u4f53\u6240\u6709\u9876\u70b9\u7684$z$\u5206\u91cf\u6700\u5c0f\u503c\u4e3a$z_{min}$, $z$\u5206\u91cf\u6700\u5927\u503c\u4e3a$z_{max}$, \u5c06\u8fd1\u88c1\u526a\u5e73\u9762\u8bbe\u5b9a\u4e3a\u4e0e\u5149\u7a7a\u95f4\u7684$z$\u8f74\u5782\u76f4\u4e14\u901a\u8fc7$(0, 0, $$ z_{min})$\u7684\u5e73\u9762, \u5c06\u8fdc\u88c1\u526a\u5e73\u9762\u8bbe\u5b9a\u4e3a\u4e0e\u5149\u7a7a\u95f4\u7684$z$\u8f74\u5782\u76f4\u4e14\u901a\u8fc7$(0, 0, $$ z_{max})$\u7684\u5e73\u9762. \u4e0b\u56fe\u5c55\u793a\u4e86\u8be5\u65b9\u6cd5\u7684\u4e24\u4e2a\u6838\u5fc3\u7f3a\u9677: \u5176\u4e00\u662f\u5f53\u89c6\u9525\u4f53\u5927\u5c0f\u8d85\u51fa\u573a\u666f\u51e0\u4f55\u8303\u56f4\u65f6, \u8fd9\u79cd\u8ba1\u7b97\u65b9\u5f0f\u4f1a\u4ea7\u751f\u8fc7\u5ea6\u4fdd\u5b88\u7684\u88c1\u526a\u8303\u56f4(\u5982\u4e0b\u56fe\u4e2d\u5de6\u4fa7\u6240\u793a); \u5176\u4e8c\u5219\u662f\u8fd1\u88c1\u526a\u5e73\u9762\u4e0e\u8fdc\u88c1\u526a\u5e73\u9762\u7684\u8bbe\u7f6e\u53ef\u80fd\u8fc7\u4e8e\u7d27\u51d1, \u5bfc\u81f4\u90e8\u5206\u7269\u4f53\u6295\u5c04\u7684Shadow\u88ab\u9519\u8bef\u5254\u9664(\u5982\u4e0b\u56fe\u4e2d\u53f3\u4fa7\u6240\u793a).<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/near-far-planes-based-solely-on-view-frustum.jpg\" alt=\"\" width=\"646\" height=\"306\" class=\"aligncenter size-full wp-image-3897\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/near-far-planes-based-solely-on-view-frustum.jpg 646w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/near-far-planes-based-solely-on-view-frustum-300x142.jpg 300w\" sizes=\"(max-width: 646px) 100vw, 646px\" \/><\/p>\n<p><strong>3.6 \u57fa\u4e8e\u5149\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u4e0e\u573a\u666f\u76f8\u4ea4\u7ed3\u679c\u7684\u8fd1\/\u8fdc\u88c1\u526a\u5e73\u9762\u8ba1\u7b97\u65b9\u6cd5<\/strong><\/p>\n<p>\u8ba1\u7b97\u8fd1\/\u8fdc\u88c1\u526a\u5e73\u9762\u7684\u6b63\u786e\u65b9\u6cd5\u5982\u4e0b\u56fe\u6240\u793a. \u9996\u5148\u901a\u8fc7\u5149\u7a7a\u95f4\u4e0b\u89c6\u9525\u4f53\u6240\u6709\u9876\u70b9\u7684$x$\/$y$\u5206\u91cf\u503c\u8303\u56f4, \u786e\u5b9a\u5149\u7a7a\u95f4\u7684\u6b63\u4ea4\u89c6\u9525\u4f53\u7684\u56db\u4e2a\u4fa7\u5e73\u9762. \u5269\u4f59\u4e24\u4e2a\u5e73\u9762(\u8fd1\u88c1\u526a\u5e73\u9762\u4e0e\u8fdc\u88c1\u526a\u5e73\u9762) \u7684\u8ba1\u7b97\u9700\u5206\u4e24\u6b65\u5b8c\u6210: \u9996\u5148\u5c06\u573a\u666f\u5305\u56f4\u76d2\u4e0e\u8fd9\u56db\u4e2a\u5df2\u77e5\u7684\u5149\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u4fa7\u5e73\u9762\u8fdb\u884c\u88c1\u526a, \u7136\u540e\u4ee4\u88c1\u526a\u540e\u5f62\u6210\u7684\u65b0\u8fb9\u754c\u4e2d\u6700\u5c0f\u7684$z$\u5206\u91cf\u503c\u4e3a$z_{min}$, \u6700\u5927\u7684$z$\u5206\u91cf\u503c\u4e3a$z_{max}$, \u5c06\u8fd1\u88c1\u526a\u5e73\u9762\u8bbe\u5b9a\u4e3a\u4e0e\u5149\u7a7a\u95f4\u7684$z$\u8f74\u5782\u76f4\u4e14\u901a\u8fc7$(0, 0, z_{min})$\u7684\u5e73\u9762, \u5c06\u8fdc\u88c1\u526a\u5e73\u9762\u8bbe\u5b9a\u4e3a\u4e0e\u5149\u7a7a\u95f4\u7684$z$\u8f74\u5782\u76f4\u4e14\u901a\u8fc7$(0, 0, z_{max} $$ )$\u7684\u5e73\u9762. \u8be5\u65b9\u6cd5\u901a\u8fc7\u52a8\u6001\u9002\u914d\u573a\u666f\u51e0\u4f55\u5206\u5e03, \u907f\u514d\u4e86\u4f20\u7edf\u65b9\u6848\u4e2d\u56e0\u56fa\u5b9a\u88c1\u526a\u8303\u56f4\u5bfc\u81f4\u7684\u6df1\u5ea6\u7f13\u51b2\u533a\u7cbe\u5ea6\u635f\u5931\u7684\u95ee\u9898.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/near-far-plane-based-on-intersection-of-four.jpg\" alt=\"\" width=\"609\" height=\"336\" class=\"aligncenter size-full wp-image-3903\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/near-far-plane-based-on-intersection-of-four.jpg 609w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/near-far-plane-based-on-intersection-of-four-300x166.jpg 300w\" sizes=\"(max-width: 609px) 100vw, 609px\" \/><\/p>\n<p>$\\\\$ \u8be5\u7b97\u6cd5\u7684\u5177\u4f53\u5b9e\u73b0\u6d41\u7a0b\u5982\u4e0b:<br \/>\n$\\\\$ $\\cdot$ \u7a7a\u95f4\u53d8\u6362: \u9996\u5148\u5c06\u4e16\u754c\u7a7a\u95f4\u4e0b\u7684\u573a\u666f\u7684AABB\u76848\u4e2a\u9876\u70b9\u8f6c\u6362\u81f3\u5149\u7a7a\u95f4\u4e0b, \u6b64\u64cd\u4f5c\u5c06\u4e09\u7ef4\u88c1\u526a\u95ee\u9898\u7b80\u5316\u4e3a\u4e8c\u7ef4\u5e73\u9762\u8fd0\u7b97.<br \/>\n$\\\\$ $\\cdot$ \u5e73\u9762\u964d\u7ef4: \u5728\u5149\u7a7a\u95f4\u4e0b, \u5176\u6b63\u4ea4\u89c6\u9525\u4f53\u76844\u4e2a\u4fa7\u5e73\u9762\u53ef\u88ab\u6295\u5f71\u4e3a\u4e8c\u7ef4\u76f4\u7ebf($x$\/$y$\u65b9\u5411\u7684\u6c34\u5e73\/\u5782\u76f4\u7ebf), \u573a\u666f\u7684AABB\u5219\u8868\u73b0\u4e3a6\u4e2a\u56db\u8fb9\u5f62\u9762.<br \/>\n$\\\\$ $\\cdot$ \u4e09\u89d2\u5f62\u5256\u5206: \u5c06\u6bcf\u4e2a\u56db\u8fb9\u5f62\u62c6\u5206\u4e3a2\u4e2a\u4e09\u89d2\u5f62, \u5171\u751f\u621012\u4e2a\u88c1\u526a\u57fa\u5143, \u4e3a\u57fa\u4e8e\u4e09\u89d2\u5f62\u7684\u7cbe\u786e\u88c1\u526a\u8fd0\u7b97\u505a\u51c6\u5907.<br \/>\n$\\\\$ $\\cdot$ \u52a8\u6001\u88c1\u526a: \u4f7f\u7528\u89c6\u9525\u4f53\u76844\u4e2a\u5df2\u77e5\u5e73\u9762(\u6b64\u65f6\u8868\u73b0\u4e3a\u4e8c\u7ef4\u76f4\u7ebf) \u5bf9\u4e09\u89d2\u5f62\u8fdb\u884c\u88c1\u526a. \u5f53\u68c0\u6d4b\u5230\u843d\u5728$x$\/$y$\u8f74\u4e0a\u7684\u4ea4\u70b9\u65f6, \u540c\u6b65\u5bf9\u4e09\u7ef4\u7a7a\u95f4\u4e2d\u7684\u539f\u59cb\u4e09\u89d2\u5f62\u8fdb\u884c\u622a\u65ad\u64cd\u4f5c.<br \/>\n$\\\\$ $\\cdot$ \u6df1\u5ea6\u63d0\u53d6: \u6700\u7ec8\u904d\u5386\u6240\u6709\u88c1\u526a\u540e\u751f\u6210\u7684\u4e09\u89d2\u5f62\u7247\u6bb5, \u4ee4\u5176\u4e2d\u6700\u5c0f\u7684$z$\u5206\u91cf\u503c\u4e3a$z_{min}$, \u6700\u5927\u7684$z$\u5206\u91cf\u503c\u4e3a$z_{max}$, \u5c06\u8fd1\u88c1\u526a\u5e73\u9762\u8bbe\u5b9a\u4e3a\u4e0e\u5149\u7a7a\u95f4\u7684$z$\u8f74\u5782\u76f4\u4e14\u901a\u8fc7$(0, 0, z_{min})$\u7684\u5e73\u9762, \u5c06\u8fdc\u88c1\u526a\u5e73\u9762\u8bbe\u5b9a\u4e3a\u4e0e\u5149\u7a7a\u95f4\u7684$z$\u8f74\u5782\u76f4\u4e14\u901a\u8fc7$(0, 0, z_{max} $$ )$\u7684\u5e73\u9762.<br \/>\n$\\\\$ \u8fd8\u6709\u53e6\u5916\u4e24\u79cd\u6280\u672f\u53ef\u7528\u4e8e\u8ba1\u7b97\u53ef\u80fd\u7684\u6700\u7d27\u5bc6\u7684\u8fd1\u88c1\u526a\u5e73\u9762\u4e0e\u8fdc\u88c1\u526a\u5e73\u9762. \u901a\u8fc7\u5c06\u573a\u666f\u7684\u5c42\u7ea7\u7ed3\u6784\u6216\u573a\u666f\u4e2d\u7684\u5355\u4e2a\u7269\u4f53\u4e0e\u5149\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u8fdb\u884c\u76f8\u4ea4\u6d4b\u8bd5, \u53ef\u4ee5\u8ba1\u7b97\u51fa\u66f4\u7d27\u5bc6\u7684\u8fd1\u88c1\u526a\u5e73\u9762\u4e0e\u8fdc\u88c1\u526a\u5e73\u9762. \u5c3d\u7ba1\u8fd9\u79cd\u65b9\u6cd5\u7684\u8ba1\u7b97\u590d\u6742\u5ea6\u4f1a\u66f4\u9ad8, \u4f46\u5bf9\u4e8e\u67d0\u4e9b\u7279\u5b9a\u7684\u5206\u5757\u800c\u8a00, \u8fd9\u53ef\u80fd\u662f\u4e00\u79cd\u6709\u6548\u7684\u6280\u672f.<br \/>\n$\\\\$ \u8fdc\u88c1\u526a\u5e73\u9762\u8ddd\u79bb\u5149\u7a7a\u95f4\u8fdc\u70b9\u7684\u8ddd\u79bb\u53ef\u4ee5\u901a\u8fc7\u53d6\u4ee5\u4e0b\u4e24\u4e2a\u503c\u4e2d\u7684\u6700\u5c0f\u503c\u6765\u8ba1\u7b97:<br \/>\n$\\\\$ $\\cdot$ \u5149\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u6240\u6709\u9876\u70b9\u7684\u6700\u5927\u6df1\u5ea6.<br \/>\n$\\\\$ $\\cdot$ \u5149\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u4e0e\u573a\u666f\u7684AABB\u7684\u76f8\u4ea4\u90e8\u5206\u7684\u6700\u5927\u6df1\u5ea6.<\/p>\n<p><strong>3.7 \u4ee5\u7eb9\u7d20\u5927\u5c0f\u7684\u589e\u91cf\u79fb\u52a8\u5149\u6e90<\/strong><\/p>\n<p>Shadow Depth Maps\u4e2d\u5e38\u89c1\u7684\u4e00\u4e2a\u95ee\u9898\u662fShadow\u8fb9\u7f18\u7684\u95ea\u70c1\u95ee\u9898. \u5f53\u50cf\u673a\u79fb\u52a8\u65f6, Shadow\u8fb9\u7f18\u7684\u50cf\u7d20\u4f1a\u5448\u73b0\u660e\u6697\u4ea4\u66ff\u7684\u95ea\u70c1\u73b0\u8c61. \u8fd9\u79cd\u95ee\u9898\u5728\u9759\u6001\u56fe\u50cf\u4e2d\u65e0\u6cd5\u5bdf\u89c9, \u4f46\u5728\u5b9e\u65f6\u6e32\u67d3\u4e2d\u4f1a\u975e\u5e38\u660e\u663e\u4e14\u4ee4\u4eba\u5206\u5fc3. \u4e0b\u56fe\u7a81\u663e\u4e86\u8fd9\u4e00\u95ee\u9898.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/shimmering-shadow-edges.jpg\" alt=\"\" width=\"641\" height=\"157\" class=\"aligncenter size-full wp-image-3905\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/shimmering-shadow-edges.jpg 641w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/shimmering-shadow-edges-300x73.jpg 300w\" sizes=\"(max-width: 641px) 100vw, 641px\" \/><\/p>\n<p>\u5f53\u50cf\u673a\u4ece\u5de6\u5411\u53f3\u79fb\u52a8\u65f6, Shadow\u8fb9\u754c\u7684\u50cf\u7d20\u4f1a\u5728Shadow\u4e2d\u65f6\u9690\u65f6\u73b0(\u53cd\u590d\u8fdb\u5165\/\u79bb\u5f00\u9634\u5f71\u533a\u57df).<br \/>\n$\\\\$ \u4e0b\u56fe\u5219\u5c55\u793a\u4e86Shadow\u8fb9\u7f18\u5e94\u6709\u7684\u7406\u60f3\u6548\u679c.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/shadows-without-shimmering-edges.jpg\" alt=\"\" width=\"644\" height=\"157\" class=\"aligncenter size-full wp-image-3906\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/shadows-without-shimmering-edges.jpg 644w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/shadows-without-shimmering-edges-300x73.jpg 300w\" sizes=\"(max-width: 644px) 100vw, 644px\" \/><\/p>\n<p>\u5f53\u50cf\u673a\u4ece\u5de6\u5411\u53f3\u79fb\u52a8\u65f6, Shadow\u8fb9\u7f18\u4fdd\u6301\u7a33\u5b9a.<br \/>\n$\\\\$ \u4e4b\u6240\u4ee5\u4ea7\u751fShadow\u8fb9\u7f18\u7684\u95ea\u70c1\u9519\u8bef, \u662f\u56e0\u4e3a\u6bcf\u5f53\u50cf\u673a\u53d1\u751f\u79fb\u52a8\u65f6, \u5149\u7a7a\u95f4\u7684\u6295\u5f71\u77e9\u9635\u90fd\u4f1a\u88ab\u91cd\u65b0\u8ba1\u7b97. \u8fd9\u4f1a\u5bfc\u81f4\u751f\u6210\u7684Shadow Depth Maps\u4ea7\u751f\u7ec6\u5fae\u5dee\u5f02. \u4ee5\u4e0b\u6240\u6709\u56e0\u7d20\u90fd\u53ef\u80fd\u5f71\u54cd\u5149\u7a7a\u95f4\u7684\u6295\u5f71\u77e9\u9635\u6784\u5efa:<br \/>\n$\\\\$ $\\cdot$ \u5149\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u5c3a\u5bf8;<br \/>\n$\\\\$ $\\cdot$ \u5149\u7a7a\u95f4\u7684\u89c6\u9525\u4f53\u671d\u5411;<br \/>\n$\\\\$ $\\cdot$ \u5149\u6e90\u4f4d\u7f6e;<br \/>\n$\\\\$ $\\cdot$ \u50cf\u673a\u4f4d\u7f6e.<br \/>\n$\\\\$ \u6bcf\u5f53\u8be5\u77e9\u9635\u53d1\u751f\u53d8\u5316\u65f6, Shadow\u8fb9\u7f18\u90fd\u53ef\u80fd\u51fa\u73b0\u6ce2\u52a8.<br \/>\n$\\\\$ \u5bf9\u4e8e\u5b9a\u5411\u5149\u6e90(\u5e73\u884c\u5149), \u89e3\u51b3\u8be5\u95ee\u9898\u7684\u65b9\u6848\u662f: \u5c06\u6784\u6210\u6b63\u4ea4\u89c6\u9525\u4f53\u4fa7\u5e73\u9762\u7684$x$\/$y$\u65b9\u5411\u7684\u6700\u5c0f\u503c\u4e0e\u6700\u5927\u503c(\u51b3\u5b9a\u6295\u5f71\u8303\u56f4\u7684\u5173\u952e\u53c2\u6570) \u6309\u50cf\u7d20\u5c3a\u5bf8\u7684\u6574\u6570\u500d\u8fdb\u884c\u91cf\u5316\u5bf9\u9f50. \u5177\u4f53\u53ef\u901a\u8fc7\u4ee5\u4e0b\u6b65\u9aa4\u5b9e\u73b0: \u9996\u5148\u7528\u9664\u6cd5\u8ba1\u7b97\u5f53\u524d\u503c\u4e0e\u50cf\u7d20\u5c3a\u5bf8\u7684\u6bd4\u503c, \u63a5\u7740\u901a\u8fc7\u5411\u4e0b\u53d6\u6574(floor\u64cd\u4f5c) \u5f97\u5230\u6574\u6570\u500d\u57fa\u6570, \u6700\u540e\u518d\u4e58\u4ee5\u50cf\u7d20\u5c3a\u5bf8\u8fd8\u539f\u4e3a\u5bf9\u9f50\u540e\u7684\u503c.<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"C++\" data-enlighter-theme=\"monokai\">\r\n\r\nvLightCameraOrthographicMin \/= vWorldUnitsPerTexel;\r\nvLightCameraOrthographicMin = XMVectorFloor( vLightCameraOrthographicMin );\r\nvLightCameraOrthographicMin *= vWorldUnitsPerTexel;\r\nvLightCameraOrthographicMax \/= vWorldUnitsPerTexel;\r\nvLightCameraOrthographicMax = XMVectorFloor( vLightCameraOrthographicMax );\r\nvLightCameraOrthographicMax *= vWorldUnitsPerTexel;\r\n\r\n<\/pre>\n<p>vWorldUnitsPerTexel\u503c\u7684\u8ba1\u7b97\u65b9\u5f0f\u662f: \u901a\u8fc7\u83b7\u53d6\u89c6\u9525\u4f53\u7684\u8fb9\u754c\u8303\u56f4(\u5982\u8fd1\/\u8fdc\u88c1\u526a\u5e73\u9762\u8ddd\u79bb), \u518d\u5c06\u5176\u9664\u4ee5\u7f13\u51b2\u533a(\u5982Shadow Depth Maps) \u7684\u5206\u8fa8\u7387\u5c3a\u5bf8.<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"C++\" data-enlighter-theme=\"monokai\">\r\n\r\nFLOAT fWorldUnitsPerTexel = fCascadeBound \/\r\n(float)m_CopyOfCascadeConfig.m_iBufferSize;\r\nvWorldUnitsPerTexel = XMVectorSet( fWorldUnitsPerTexel, fWorldUnitsPerTexel, 0.0f, 0.0f );\r\n\r\n<\/pre>\n<p>\u5f53\u89c6\u9525\u4f53\u7684\u5927\u5c0f\u88ab\u9650\u5236\u65f6, \u89c6\u9525\u4f53\u53ef\u80fd\u65e0\u6cd5\u5b8c\u5168\u7d27\u5bc6\u5730\u5305\u88f9\u573a\u666f, \u5bfc\u81f4\u4e00\u4e9b\u7a7a\u95f4\u6ca1\u6709\u88ab\u5145\u5206\u5229\u7528, \u6216\u8005\u6295\u5f71\u8303\u56f4\u53ef\u80fd\u8fc7\u5927, \u4ece\u800c\u5f71\u54cdShadow Depth Maps\u7684\u7cbe\u5ea6\u6216\u6027\u80fd.<br \/>\n$\\\\$ \u9700\u8981\u6ce8\u610f\u7684\u662f, \u91c7\u7528\u8be5\u6280\u672f\u65f6, Shadow Depth Maps\u7684\u5bbd\u5ea6\u4e0e\u9ad8\u5ea6\u9700\u5404\u589e\u52a01\u50cf\u7d20, \u8fd9\u6837\u53ef\u4ee5\u907f\u514dShadow Depth Maps\u7684\u91c7\u6837\u5750\u6807\u8d85\u51faShadow Depth Maps\u7684\u91c7\u6837\u8303\u56f4.<\/p>\n<p><strong>3.8 \u80cc\u9762\u4e0e\u6b63\u9762<\/strong><\/p>\n<p>\u5728\u6e32\u67d3Shadow Depth Maps\u65f6, \u901a\u5e38\u91c7\u7528\u6807\u51c6\u80cc\u9762\u5254\u9664\u6280\u672f, \u8be5\u6280\u672f\u4f1a\u8df3\u8fc7\u6e32\u67d3\u4e0d\u53ef\u89c1\u7269\u4f53\u7684\u5149\u6805\u5316\u8fc7\u7a0b, \u4ece\u800c\u52a0\u901f\u573a\u666f\u6e32\u67d3. \u53e6\u4e00\u79cd\u5e38\u89c1\u505a\u6cd5\u662f\u542f\u7528\u6b63\u9762\u5254\u9664\u6765\u6e32\u67d3Shadow Depth Maps\uff0c\u8fd9\u610f\u5473\u7740\u9762\u5411\u50cf\u673a\u7684\u7269\u4f53\u4f1a\u88ab\u5254\u9664. \u652f\u6301\u8fd9\u79cd\u505a\u6cd5\u7684\u8bba\u70b9\u662f: \u5f53\u6784\u6210\u7269\u4f53\u80cc\u9762\u7684\u51e0\u4f55\u4f53\u5b58\u5728\u5fae\u5c0f\u504f\u79fb\u65f6, \u6b64\u65b9\u6cd5\u6709\u52a9\u4e8e\u6539\u5584Self-Shadowing\u6548\u679c. \u4e0d\u8fc7\u8be5\u65b9\u6848\u5b58\u5728\u4e24\u4e2a\u6838\u5fc3\u95ee\u9898:<br \/>\n$\\\\$ $\\cdot$ \u4efb\u4f55\u6b63\u9762\/\u80cc\u9762\u51e0\u4f55\u4f53\u5904\u7406\u4e0d\u5f53\u7684\u7269\u4f53\u90fd\u4f1a\u5728Shadow Depth Maps\u4e2d\u4ea7\u751f\u6e32\u67d3Artifacts. \u4e0d\u8fc7, \u82e5\u51e0\u4f55\u4f53\u5904\u7406\u672c\u8eab\u5b58\u5728\u9519\u8bef, \u5f80\u5f80\u8fd8\u4f1a\u5f15\u53d1\u5176\u5b83\u66f4\u4e25\u91cd\u7684\u95ee\u9898, \u56e0\u6b64\u901a\u5e38\u53ef\u4ee5\u5408\u7406\u5047\u8bbe\u6a21\u578b\u7684\u6b63\u9762\/\u80cc\u9762\u51e0\u4f55\u4f53\u5df2\u6b63\u786e\u6784\u5efa. \u4f46\u5bf9\u4e8e\u57fa\u4e8eSprite\u6e32\u67d3\u7684\u51e0\u4f55\u4f53(\u5982\u690d\u88ab), \u624b\u52a8\u6784\u5efa\u80cc\u9762\u51e0\u4f55\u4f53\u5f80\u5f80\u4e0d\u5177\u5907\u53ef\u64cd\u4f5c\u6027.<br \/>\n$\\\\$ $\\cdot$ \u7269\u4f53\u5e95\u90e8(\u5982\u5899\u58c1) \u51fa\u73b0Peter Panning\u73b0\u8c61\u548cShadow Gap\u7684\u6982\u7387\u66f4\u9ad8, \u8fd9\u662f\u7531\u4e8eShadow\u6df1\u5ea6\u504f\u5dee\u503c\u8fc7\u5c0f\u5bfc\u81f4\u7684.<\/p>\n<p><strong>3.9 \u5bf9Shadow Depth Maps\u53cb\u597d\u7684\u51e0\u4f55\u7ed3\u6784<\/strong><\/p>\n<p>\u521b\u5efa\u9002\u7528\u4e8eShadow Depth Maps\u7684\u51e0\u4f55\u7ed3\u6784, \u53ef\u4ee5\u5728\u5e94\u5bf9Peter Panning\u73b0\u8c61\u4e0eShadow Acne\u7b49\u6e32\u67d3Artifacts\u65f6\u63d0\u4f9b\u66f4\u5927\u7684\u4f18\u5316\u7a7a\u95f4.<br \/>\n$\\\\$ \u5c16\u9510\u8fb9\u7f18\u5728Self-Shadowing\u5904\u7406\u4e2d\u5bb9\u6613\u5f15\u53d1\u95ee\u9898. \u8fd9\u7c7b\u8fb9\u7f18\u9876\u90e8\u7684\u6df1\u5ea6\u5dee\u5f02\u6781\u5c0f, \u5373\u4f7f\u5fae\u5c0f\u7684\u504f\u79fb\u91cf\u4e5f\u53ef\u80fd\u5bfc\u81f4\u7269\u4f53Shadow\u4e22\u5931(\u5982\u4e0b\u56fe\u6240\u793a).<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/sharp-edges-cause-artifacts.jpg\" alt=\"\" width=\"652\" height=\"227\" class=\"aligncenter size-full wp-image-3913\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/sharp-edges-cause-artifacts.jpg 652w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2025\/05\/sharp-edges-cause-artifacts-300x104.jpg 300w\" sizes=\"(max-width: 652px) 100vw, 652px\" \/><\/p>\n<p>\u539a\u5ea6\u8f83\u8584\u7684\u7269\u4f53(\u5982\u5899\u58c1) \u7684\u80cc\u9762\u6df1\u5ea6\u4e0e\u6b63\u9762\u6df1\u5ea6\u63a5\u8fd1, \u5bb9\u6613\u89e6\u53d1\u81ea\u9634\u5f71\u8ba1\u7b97\u9519\u8bef, \u5373\u4f7f\u6c38\u4e0d\u663e\u793a\u80cc\u9762, \u4e5f\u5e94\u6784\u5efa\u80cc\u9762\u51e0\u4f55\u7ed3\u6784. \u6b64\u4e3e\u53ef\u663e\u8457\u589e\u5927\u7269\u4f53\u8fb9\u7f18\u7684\u6df1\u5ea6\u5dee\u5f02.<br \/>\n$\\\\$ \u786e\u4fdd\u51e0\u4f55\u4f53\u7684\u671d\u5411\u6b63\u786e\u4e5f\u81f3\u5173\u91cd\u8981, \u5373\u7269\u4f53\u7684\u5916\u8868\u9762\u671d\u5411\u5e94\u8bbe\u7f6e\u4e3a\u80cc\u9762\u671d\u5916, \u800c\u5185\u8868\u9762\u671d\u5411\u5e94\u8bbe\u7f6e\u4e3a\u6b63\u9762\u671d\u5185. \u8fd9\u4e00\u89c4\u8303\u5bf9\u542f\u7528\u80cc\u9762\u5254\u9664\u7684\u6e32\u67d3\u6d41\u7a0b\u81f3\u5173\u91cd\u8981, \u540c\u65f6\u4e5f\u6709\u52a9\u4e8e\u7f13\u89e3\u6df1\u5ea6\u504f\u79fb\u91cf\u53ef\u80fd\u5f15\u53d1\u7684\u6e32\u67d3\u5f02\u5e38\u73b0\u8c61.<\/p>\n<p><strong>4. \u603b\u7ed3<\/strong><\/p>\n<p>\u672c\u6587\u4ecb\u7ecd\u7684\u6280\u672f\u53ef\u7528\u4e8e\u63d0\u5347\u6807\u51c6\u7684Shadow Depth Maps\u7684\u6e32\u67d3\u8d28\u91cf. \u4e0b\u4e00\u6b65\u53ef\u63a2\u7d22\u4e0e\u6807\u51c6\u7684Shadow Depth Maps\u534f\u540c\u5de5\u4f5c\u7684\u8fdb\u9636\u65b9\u6848: \u63a8\u8350\u91c7\u7528CSMs\u4f5c\u4e3a\u7f13\u89e3Perspective Aliasing\u73b0\u8c61\u7684\u4f18\u9009\u6280\u672f; \u53ef\u901a\u8fc7\u767e\u5206\u6bd4\u6e10\u8fdb\u8fc7\u6ee4\u6280\u672f(PCF) \u6216Variance Shadow Maps\u5b9e\u73b0Shadow\u8fb9\u7f18\u67d4\u5316\u7684\u6548\u679c.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u76ee\u524d\u9879\u76ee\u7ec4\u5c1a\u672a\u5f00\u542fNanite, \u6545\u4e5f\u4e00\u76f4\u6ca1\u6709\u597d\u597d\u5730\u94bb\u7814\u8fc7Nanite\u7b97\u6cd5. \u524d\u6bb5\u65f6\u95f4\u7ec8\u4e8e\u62bd\u51fa\u4e1a\u4f59\u65f6\u95f4, \u9759\u4e0b &hellip; <a href=\"https:\/\/www.caiqinyi.cn\/index.php\/2025\/05\/31\/common_techniques_to_improve_shadow_depth_maps\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u63d0\u9ad8Shadow Depth Maps\u6027\u80fd\u7684\u5e38\u7528\u6280\u672f<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[24,9,5],"tags":[],"_links":{"self":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/3829"}],"collection":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/comments?post=3829"}],"version-history":[{"count":84,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/3829\/revisions"}],"predecessor-version":[{"id":3931,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/3829\/revisions\/3931"}],"wp:attachment":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/media?parent=3829"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/categories?post=3829"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/tags?post=3829"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}