{"id":3495,"date":"2024-12-15T21:38:50","date_gmt":"2024-12-15T13:38:50","guid":{"rendered":"https:\/\/www.caiqinyi.cn\/?p=3495"},"modified":"2025-02-26T10:55:24","modified_gmt":"2025-02-26T02:55:24","slug":"algebraic_topology_geometry_ue_game_development_2024","status":"publish","type":"post","link":"https:\/\/www.caiqinyi.cn\/index.php\/2024\/12\/15\/algebraic_topology_geometry_ue_game_development_2024\/","title":{"rendered":"\u4ee3\u6570\u62d3\u6251, \u51e0\u4f55\u4e0eUE\u6e38\u620f\u5f00\u53d1\u7684\u90a3\u4e9b\u4e8b(2024\u7248)"},"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>\u81ea\u53c2\u52a0\u5de5\u4f5c\u5b66\u4e60\u4ee3\u6570\u62d3\u6251\u4ee5\u6765, \u81ea\u5df1\u5c1d\u8bd5\u505a\u8fc7\u4e00\u4e9b\u5c06\u4ee3\u6570\u62d3\u6251, \u51e0\u4f55\u4e0eUE\u6e38\u620f\u5f00\u53d1\u7ed3\u5408\u7684\u5fae\u5c0f\u5de5\u4f5c. \u672c\u6587\u603b\u7ed3\u4e86\u622a\u81f32024\u5e74\u5e95\u7684\u76f8\u5173\u5de5\u4f5c\u8981\u70b9, \u5176\u4e2d, \u6709\u4e00\u90e8\u5206\u8fd8\u5904\u5728&#8221;\u65b0\u5efa\u6587\u4ef6\u5939&#8221; \u7684\u72b6\u6001\u03b5=\u03b5=\u03b5=\u250f(\u309c\u30ed\u309c;)\u251b<\/p>\n<p><!--more--><\/p>\n<p><strong>\u53c2\u8003\u6750\u6599<\/strong><br \/>\n1. <a href=\"https:\/\/www.zhihu.com\/question\/340827879\/answer\/3350363627\">\u9876\u7ea7\u6570\u5b66\u5bb6\u6709\u591a\u5389\u5bb3\uff1f<\/a><br \/>\n2. <a href=\"https:\/\/www.zhihu.com\/question\/655235593?utm_campaign=\">\u5982\u679c\u6211\u4eec\u4e0d\u662f\u751f\u6d3b\u5728R^3\u91cc\uff0c\u800c\u662f\u751f\u6d3b\u5728RP^3\u6216\u8005\u5176\u4ed63\u7ef4\u6d41\u5f62\u91cc\u9762\uff0c\u4f1a\u6709\u4ec0\u4e48\u4e0d\u540c\u5462\uff1f<\/a><\/p>\n<p><strong>1. Mesh\u4e0e\u5b50Mesh<\/strong><\/p>\n<p>$\\cdot$ \u6a21\u578b\u62c6\u5206: \u7075\u611f\u6765\u6e90\u4e8eNanite\u4e2dMesh Cluster\u7684\u751f\u6210, \u6bcf\u4e00\u4e2aCluster\u7684\u9762\u6570\u57fa\u672c\u4e0a\u662f\u4e00\u81f4\u7684. \u817e\u8baf\u5149\u5b50\u7684Apex Legends Mobile\u4e5f\u91c7\u7528\u4e86\u7c7b\u4f3c\u7684\u6280\u672f(<a href=\"https:\/\/www.cnblogs.com\/Shaojunping\/p\/17296719.html\">\u817e\u8baf\u5149\u5b50\u9648\u7389\u94a2\u8c08\u300aApex Legends Mobile\u300b\u6e32\u67d3\u4f18\u5316\u5b9e\u8df5<\/a>).<\/p>\n<p><strong>2. Mesh\u4e0eLOD<\/strong><\/p>\n<p>$\\cdot$ LOD\u751f\u6210: \u6839\u636e\u8bba\u6587Hoppe H. New quadric metric for simplifying meshes with appearance attributes[C]\/\/Proceedings Visualization&#8217;99 (Cat. No. 99CB37067). IEEE, 1999: 59-510.\u5b9e\u73b0\u4e86\u4e00\u5957\u81ea\u52a8\u51cf\u9762\u7b97\u6cd5. \u4e0eUE\u81ea\u5e26\u7684\u81ea\u52a8\u51cf\u9762\u7b97\u6cd5\u76f8\u6bd4, \u4f18\u52bf\u5728\u4e8e\u53ef\u4fdd\u6301\u51e0\u4f55\u8f6e\u5ed3, \u4e14\u53ef\u9632\u6b62\u51cf\u9762\u7ed3\u679c\u4e2d\u51fa\u73b0\u5c0f\u4e09\u89d2\u5f62.<\/p>\n<p>$\\cdot$ LOD Group: \u6839\u636eMesh\u7684\u4e8f\u683c\u81ea\u52a8\u8ba1\u7b97LOD Group, \u8fd9\u4ea6\u662f\u8fd1\u4e24\u5e74\u6bd4\u8f83\u6ee1\u610f\u7684\u5de5\u4f5c\u4e4b\u4e00. \u8be6\u7ec6\u5185\u5bb9\u53ef\u53c2\u8003<a href=\"https:\/\/www.caiqinyi.cn\/index.php\/2023\/09\/01\/auto_lod_group\/\">Auto LOD Group<\/a>, <a href=\"https:\/\/www.caiqinyi.cn\/index.php\/2023\/12\/17\/improvement_of_auto_lod_group_based_on_2d_simplicial_complex_classification_theorem\/\">\u57fa\u4e8e\u4e8c\u7ef4\u5355\u7eaf\u590d\u5f62\u5206\u7c7b\u5b9a\u7406\u7684Auto LOD Group\u6539\u8fdb<\/a>. \u300a\u6570\u5b57\u56fe\u50cf\u7684\u8ba1\u7b97\u51e0\u4f55\u3001\u62d3\u6251\u548c\u7269\u7406\u53ca\u5176\u5e94\u7528\u300b\u8fd9\u672c\u4e66\u4e5f\u4e3a\u8fd9\u90e8\u5206\u7814\u7a76\u63d0\u4f9b\u4e86\u66f4\u8fdb\u4e00\u6b65\u7684\u7406\u8bba\u4f9d\u636e.<\/p>\n<p><strong>3. Mesh\u4e0e\u4ee3\u7406\u4f53<\/strong><\/p>\n<p>$\\cdot$ \u8f6f\u4ef6\u906e\u6321\u5254\u9664: \u5c06UE4\u4e0a\u7684\u8f6f\u4ef6\u906e\u6321\u5254\u9664\u8fc1\u79fb\u81f3UE5, \u6700\u6838\u5fc3\u7684\u6b65\u9aa4\u4fbf\u662f\u4e3aMesh\u751f\u6210\u4ee3\u7406\u906e\u6321\u4f53, \u4ece\u800c\u66ff\u4ee3Mesh\u53c2\u4e0e\u906e\u6321\u5254\u9664\u6d41\u7a0b. \u5176\u4e2d, \u5229\u7528Mesh SDF\u8fdb\u884cRay Marching, \u5f97\u5230\u91cd\u5efa\u540e\u7684Mesh\u8868\u9762\u7f51\u683c, \u5728\u8f83\u9ad8\u7684\u4f53\u7d20\u7cbe\u5ea6\u4e0b, \u8be5\u7b97\u6cd5\u53ef\u4ee5\u8f83\u597d\u5730\u4fdd\u6301Mesh\u7684\u51e0\u4f55\u8f6e\u5ed3\u4e0e\u62d3\u6251\u7279\u5f81.<\/p>\n<p>$\\cdot$ Shadow Proxy: \u5728\u8f6f\u4ef6\u906e\u6321\u5254\u9664\u4e2d\u6240\u4f7f\u7528\u7684\u4ee3\u7406\u906e\u6321\u4f53, \u4ea6\u53ef\u7528\u4e8eShadow\u7684\u6295\u5c04\u4e0a, \u4ece\u800c\u51cf\u5c11Shadow Depth Pass\u7684Draw Call\u4e0e\u9762\u6570.<\/p>\n<p>$\\cdot$ \u7269\u7406\u78b0\u649e: \u5236\u4f5c\u7528\u4e8e\u7269\u7406\u78b0\u649e\u7684\u4ee3\u7406\u4f53\u4ec5\u9700\u8981\u8003\u8651\u4fdd\u6301Mesh\u7684\u62d3\u6251\u7279\u5f81\u5373\u53ef(\u5c24\u5176\u662f\u4e8f\u683c), \u8fd9\u90e8\u5206\u5de5\u4f5c\u76ee\u524d\u8fd8\u672a\u5c55\u5f00, \u8003\u8651\u53c2\u8003Lumen\u4e2dMesh Cards\u7684\u751f\u6210.<\/p>\n<p><strong>4. Mesh\u4e0e\u5176\u5b83Mesh<\/strong><\/p>\n<p>$\\cdot$ \u57fa\u4e8e\u81ea\u9002\u5e94\u7684K-Means\u7b97\u6cd5\u805a\u7c7b: \u5229\u7528\u624b\u8098\u6cd5\u786e\u5b9a$K$\u503c, \u5c06\u82e5\u5e72\u4e2a\u8ddd\u79bb\u76f8\u8fd1\u4e14Bounding Box\u5927\u5c0f\u76f8\u8fd1\u7684Meshes\u805a\u4e3a\u4e00\u7c7b. \u7ecf\u805a\u7c7b\u540e\u7684Meshes, \u53ef\u7528\u4e8e\u751f\u6210Instaced Static Mesh Component, \u5408\u5e76\u7684Mesh\u6216\u5408\u5e76\u7684Shadow Proxy.<\/p>\n<p>$\\cdot$ \u5339\u914d\u53bb\u91cd: \u5efa\u7acbMesh\u8d44\u4ea7\u5e93, \u7528\u4e8e\u8bad\u7ec3Mesh\u5206\u7c7b\u7684\u795e\u7ecf\u7f51\u7edc; \u5bfc\u5165\u65b0Mesh\u8fdb\u5165UE\u7f16\u8f91\u5668\u65f6, \u5229\u7528\u8bad\u7ec3\u7684\u795e\u7ecf\u7f51\u7edc\u5f97\u5230Mesh\u7684\u7c7b\u522b, \u518d\u5728\u8d44\u4ea7\u5e93\u5bf9\u5e94\u7684\u7c7b\u522b\u4e0b\u901a\u8fc7\u6301\u7eed\u540c\u8c03\u6216Mesh Git\u7b97\u6cd5\u67e5\u627e\u662f\u5426\u5df2\u6709\u76f8\u4f3c\u7684Mesh(\u62d3\u6251\u7ed3\u6784\u4e0e\u51e0\u4f55\u5c3a\u5ea6\u4e0a), \u4ece\u800c\u51cf\u5c11\u6e38\u620f\u5f00\u53d1\u8fc7\u7a0b\u4e2d\u6240\u4f7f\u7528\u7684Mesh\u79cd\u7c7b.<\/p>\n<p><strong>5. \u6e38\u620f\u4e16\u754c<\/strong><\/p>\n<p>$\\cdot$ HLOD: UE\u7684HLOD\u6a21\u5757\u76f8\u5bf9\u6765\u8bf4\u8fd8\u662f\u6bd4\u8f83\u5b8c\u5584\u7684, \u76ee\u524d\u5df2\u77e5\u7f3a\u5931\u7684HLOD\u6a21\u5757\u4e3a\u7528\u4e8e\u690d\u88ab\u7684Impostor HLOD. \u4e00\u4e2a\u601d\u8def\u662f\u5229\u7528\u6301\u7eed\u540c\u8c03\u6355\u83b7\u8fdc\u666f\u7684\u7279\u5f81, \u5e76\u5c06\u8fdc\u666f\u91cd\u5efa\u51fa\u6765.<\/p>\n<p>$\\cdot$ \u6027\u80fd\u70ed\u529b\u66f2\u7ebf: \u4e09\u7ef4\u7a7a\u95f4\u548c\u7ebd\u7ed3\u6709\u975e\u5e38\u76f4\u63a5\u7684\u8054\u7cfb, \u4ece\u4e09\u7ef4\u7a7a\u95f4\u6316\u51fa\u6765\u4e00\u4e2a\u5b9e\u5fc3\u5706\u73af, \u7136\u540e\u6253\u4e2a\u7ed3\u518d\u7c98\u56de\u53bb(Dehn\u624b\u672f), \u6574\u4e2a\u7a7a\u95f4\u5c31\u4e0d\u4e00\u6837\u4e86. \u53cc\u66f2\u51e0\u4f55\u5927\u5e08Thurston\u5173\u4e8e\u7ebd\u7ed3\u7406\u8bba\u7684\u5de5\u4f5c, \u80fd\u5c06\u5927\u591a\u6570\u4e09\u7ef4\u7a7a\u95f4\u505a\u51fa\u5206\u7c7b. \u56e0\u6b64, \u5728\u6e38\u620f\u4e16\u754c\u4e2d\u5c06\u73a9\u5bb6\u7684\u79fb\u52a8\u8f68\u8ff9\u8f6c\u5316\u4e3a\u66f2\u7ebf(\u9644\u5e26\u6027\u80fd\u6570\u636e), \u662f\u63a2\u7a76\u6e38\u620f\u4e16\u754c\u5206\u7c7b\u7684\u6709\u8da3\u4e14\u6709\u7528\u7684\u5de5\u5177.<\/p>\n<p>$\\cdot$ \u5ba4\u5185Volumes\u751f\u6210: \u60f3\u6cd5\u6765\u6e90\u4e8e\u53c2\u8003\u6750\u65992, \u5982\u679c\u6211\u4eec\u4e0d\u662f\u751f\u6d3b\u5728$\\mathbb{R}^3$\u91cc, \u800c\u662f\u751f\u6d3b\u5728$\\mathbb{RP}^3$\u6216\u8005\u5176\u5b833\u7ef4\u6d41\u5f62\u91cc\u9762, \u4f1a\u6709\u4ec0\u4e48\u4e0d\u540c\u5462? \u5982\u679c\u6211\u4eec\u5047\u8bbe\u8fd9\u4e2a\u6d41\u5f62\u53ef\u4ee5\u5d4c\u5165\u5230$\\mathbb{R}^n$\u4e2d, \u800c\u6211\u4eec\u611f\u89c9\u5230\u7684\u5ea6\u91cf\u662f\u5d4c\u5165\u5230\u9ad8\u7ef4\u7a7a\u95f4\u8bf1\u5bfc\u7684\u5ea6\u91cf, \u6211\u4eec\u662f\u5426\u80fd\u5206\u8fa8\u51fa\u6765\u6240\u5904\u7684\u7a7a\u95f4\u5e76\u4e0d\u662f$\\mathbb{R}^3$\u800c\u662f\u4e00\u4e2a\u4e0e\u5176\u4e0d\u540c\u80da\u76843\u7ef4\u6d41\u5f62? \u5982\u679c\u8fd9\u4e2a\u6d41\u5f62\u662f\u7d27\u81f4\u7684, \u60c5\u51b5\u53c8\u4f1a\u5982\u4f55\u5462? \u8fd9\u662f\u4e00\u4e2a\u5341\u5206\u6709\u8da3\u4e14\u6df1\u523b\u7684\u95ee\u9898, \u56de\u5230\u6e38\u620f\u5f00\u53d1\u4e0a, \u6839\u636e\u5f53\u524d\u6240\u5728\u7684\u4f4d\u7f6e\u8bc6\u522b\u6240\u5904\u7684\u7a7a\u95f4(\u5982\u5ba4\u5185\u6216\u5ba4\u5916), \u53ef\u5e94\u7528\u4e8e\u8bb8\u591a\u573a\u5408, \u5982\u5ba4\u5185\u5916Level Streaming, \u5ba4\u5185\u5916\u5149\u7167\u73af\u5883\u5207\u6362, \u7a7a\u95f4\u97f3\u9891\u7b49. \u5728\u4e3a\u6e38\u620f\u4e16\u754c\u81ea\u52a8\u751f\u6210\u82e5\u5e72\u4e2a\u5ba4\u5185Volumes\u540e, \u5982\u4f55\u7ec4\u7ec7\u4e0e\u7ba1\u7406\u8fd9\u4e9bVolumes, \u4ea6\u4e3a\u4e00\u4e2a\u6709\u8da3\u4e14\u6709\u6311\u6218\u7684\u7814\u53d1\u5de5\u4f5c.<\/p>\n<p>$\\cdot$ Actor\u5bc6\u5ea6\u5206\u5e03\u5206\u6790: \u5c06\u6bcf\u4e2aActor\u89c6\u4e3a\u4e00\u70b9, \u5229\u7528\u6301\u7eed\u540c\u8c03\u5206\u6790\u6574\u4e2a\u6e38\u620f\u4e16\u754c\u7684Actor\u5bc6\u5ea6\u5206\u5e03\u7684\u62d3\u6251\u7279\u5f81.<\/p>\n<p>$\\cdot$ Significance Manager: \u76ee\u524d\u4f7f\u7528\u7684Significance Manager\u4f1a\u91c7\u53d6\u4e00\u5b9a\u7684\u7b56\u7565\u5bf9\u6e38\u620f\u4e16\u754c\u7684Actors\u8fdb\u884cTick\u9891\u7387\u7684\u8c03\u6574, \u540e\u7eed\u5de5\u4f5c\u53ef\u4ee5\u8003\u8651\u6839\u636eActors\u7684\u62d3\u6251\u7279\u5f81(\u5bf9\u4e8eStaticMeshActors, \u53ef\u91c7\u7528\u5176LOD Group), \u91c7\u7528\u66f4\u5177\u9488\u5bf9\u6027\u7684\u8c03\u6574Tick\u9891\u7387\u7684\u7b56\u7565.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u81ea\u53c2\u52a0\u5de5\u4f5c\u5b66\u4e60\u4ee3\u6570\u62d3\u6251\u4ee5\u6765, \u81ea\u5df1\u5c1d\u8bd5\u505a\u8fc7\u4e00\u4e9b\u5c06\u4ee3\u6570\u62d3\u6251, \u51e0\u4f55\u4e0eUE\u6e38\u620f\u5f00\u53d1\u7ed3\u5408\u7684\u5fae\u5c0f\u5de5\u4f5c. \u672c\u6587\u603b\u7ed3\u4e86\u622a\u81f3 &hellip; <a href=\"https:\/\/www.caiqinyi.cn\/index.php\/2024\/12\/15\/algebraic_topology_geometry_ue_game_development_2024\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u4ee3\u6570\u62d3\u6251, \u51e0\u4f55\u4e0eUE\u6e38\u620f\u5f00\u53d1\u7684\u90a3\u4e9b\u4e8b(2024\u7248)<\/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":[12,15,24,9,5],"tags":[],"_links":{"self":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/3495"}],"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=3495"}],"version-history":[{"count":26,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/3495\/revisions"}],"predecessor-version":[{"id":3595,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/3495\/revisions\/3595"}],"wp:attachment":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/media?parent=3495"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/categories?post=3495"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/tags?post=3495"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}