{"id":3156,"date":"2023-06-17T19:56:57","date_gmt":"2023-06-17T11:56:57","guid":{"rendered":"https:\/\/www.caiqinyi.cn\/?p=3156"},"modified":"2025-02-26T10:59:31","modified_gmt":"2025-02-26T02:59:31","slug":"geometry_processing_model_simplification_course_notes","status":"publish","type":"post","link":"https:\/\/www.caiqinyi.cn\/index.php\/2023\/06\/17\/geometry_processing_model_simplification_course_notes\/","title":{"rendered":"\u51e0\u4f55\u5904\u7406\u548c\u6a21\u578b\u7b80\u5316\u8bfe\u7a0b\u7b14\u8bb0"},"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>\u660e\u5929\u5468\u65e5\u53c8\u8981\u5f00\u59cb\u4e3a\u671f\u4e00\u4e2a\u591a\u6708\u7684\u5468\u672b\u52a0\u73ed\u751f\u6d3b\u4e86, \u604d\u60da\u95f4\u6709\u79cd\u68a6\u56de2021\u7684\u611f\u89c9, \u90a3\u65f6\u5019\u4e5f\u8fc7\u4e86\u5c06\u8fd1\u4e24\u4e2a\u6708\u7684\u5468\u672b\u52a0\u73ed\u751f\u6d3b, \u4eba\u90fd\u9ebb\u4e86QAQ\u2026\u2026 \u81ea\u4ece\u6765\u5230\u4e86\u65b0\u7684\u9879\u76ee\u7ec4\u540e, \u4fbf\u611f\u89c9\u7528\u4e8e\u66f4\u65b0\u535a\u5ba2\u7684\u65f6\u95f4\u8d8a\u6765\u8d8a\u5c11\u4e86, \u76ee\u524d\u505a\u7684\u4e8b\u60c5\u867d\u7136\u6742, \u4f46\u603b\u5f52\u6709\u673a\u4f1a\u63a5\u89e6\u5230\u81ea\u5df1\u611f\u5174\u8da3\u7684\u5de5\u4f5c\u5185\u5bb9, \u6bd4\u5982\u76ee\u524d\u7ec4\u5185\u7684\u6a21\u578b\u7b80\u5316\u4fbf\u662f\u7531\u6211\u8d1f\u8d23\u7684, \u4e5f\u56e0\u6b64\u6295\u5165\u4e86\u8bb8\u591a\u7cbe\u529b\u4e8e\u5176\u4e2d, \u603b\u662f\u60f3\u628a\u8fd9\u4e9b\u5de5\u4f5c\u505a\u5f97\u66f4\u597d. \u6b63\u597dGames106\u7cfb\u5217\u8bfe\u7a0b\u4e2d\u6709\u51e0\u8282\u8bfe\u7a0b\u4ecb\u7ecd\u4e86\u73b0\u4ee3\u7684\u6a21\u578b\u7b80\u5316\u7b97\u6cd5, \u4fbf\u5229\u7528\u4e1a\u4f59\u65f6\u95f4\u5b66\u5b8c\u4e86\u8fd9\u4e9b\u5185\u5bb9, \u5e76\u4ee5\u672c\u6587\u4f5c\u4e3a\u8bb0\u5f55, \u5e0c\u671b\u80fd\u4e3a\u81ea\u5df1\u7684\u5de5\u4f5c\u5e26\u6765\u66f4\u591a\u7684\u4e00\u4e9b\u7075\u611f\u4e0e\u542f\u53d1\u53ed~ \u5f53\u7136, \u864e\u4e66\u4ea6\u4e0d\u4f1a\u505c\u6b62\u5b66\u4e60\u7684, \u53ea\u662f\u4e34\u65f6\u6027\u5730\u63d2\u5165\u8fd9\u7bc7\u7b14\u8bb0(\u25cf\u02c7\u2200\u02c7\u25cf).<\/p>\n<p><!--more--><\/p>\n<p><strong>\u53c2\u8003\u6750\u6599<\/strong><br \/>\n1. <a href=\"https:\/\/www.bilibili.com\/video\/BV1Uo4y1J7ie\/?vd_source=71042933bac98e100d097571a3b97b3a\">GAMES106-\u73b0\u4ee3\u56fe\u5f62\u7ed8\u5236\u6d41\u6c34\u7ebf\u539f\u7406\u4e0e\u5b9e\u8df5<\/a><br \/>\n2. <a href=\"http:\/\/games-cn.org\/games106-slides\/\">GAMES106\u8bfe\u7a0bPPT\u548c\u89c6\u9891<\/a><\/p>\n<p><strong>1. \u7b14\u8bb0\u603b\u7ed3<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/texture_preserving_surface_reduction_algorithm.png\" alt=\"\" width=\"1818\" height=\"783\" class=\"aligncenter size-full wp-image-3162\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/texture_preserving_surface_reduction_algorithm.png 1818w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/texture_preserving_surface_reduction_algorithm-300x129.png 300w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/texture_preserving_surface_reduction_algorithm-768x331.png 768w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/texture_preserving_surface_reduction_algorithm-1536x662.png 1536w\" sizes=\"(max-width: 1818px) 100vw, 1818px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/surface_reduction_without_texture_preserving_remeshing.png\" alt=\"\" width=\"1820\" height=\"783\" class=\"aligncenter size-full wp-image-3163\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/surface_reduction_without_texture_preserving_remeshing.png 1820w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/surface_reduction_without_texture_preserving_remeshing-300x129.png 300w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/surface_reduction_without_texture_preserving_remeshing-768x330.png 768w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/surface_reduction_without_texture_preserving_remeshing-1536x661.png 1536w\" sizes=\"(max-width: 1820px) 100vw, 1820px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/surface_reduction_without_texture_preserving_spreading_UV.png\" alt=\"\" width=\"1817\" height=\"783\" class=\"aligncenter size-full wp-image-3164\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/surface_reduction_without_texture_preserving_spreading_UV.png 1817w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/surface_reduction_without_texture_preserving_spreading_UV-300x129.png 300w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/surface_reduction_without_texture_preserving_spreading_UV-768x331.png 768w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/surface_reduction_without_texture_preserving_spreading_UV-1536x662.png 1536w\" sizes=\"(max-width: 1817px) 100vw, 1817px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/surface_reduction_without_texture_preserving_texture_baking.png\" alt=\"\" width=\"1819\" height=\"783\" class=\"aligncenter size-full wp-image-3167\" srcset=\"https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/surface_reduction_without_texture_preserving_texture_baking.png 1819w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/surface_reduction_without_texture_preserving_texture_baking-300x129.png 300w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/surface_reduction_without_texture_preserving_texture_baking-768x331.png 768w, https:\/\/www.caiqinyi.cn\/wp-content\/uploads\/2023\/06\/surface_reduction_without_texture_preserving_texture_baking-1536x661.png 1536w\" sizes=\"(max-width: 1819px) 100vw, 1819px\" \/><\/p>\n<p><strong>2. \u542f\u53d1\u70b9<\/strong><\/p>\n<p><strong>2.1 \u8bef\u5dee\u8ba1\u7b97<\/strong><\/p>\n<p>\u51cf\u9762\u7b97\u6cd5\u4e2d\u7684\u8bef\u5dee\u8ba1\u7b97\u51c6\u5219\u4e00\u822c\u5206\u4e3a\u4e24\u7c7b, \u5206\u522b\u4e3a<br \/>\n$\\\\$ $\\cdot$ <strong>\u51e0\u4f55\u8bef\u5dee.<\/strong> \u5e38\u7528\u7684\u5ea6\u91cf\u4e3aHausdorff\u8ddd\u79bb\u6216Quadric Error Metric(\u7b80\u8bb0\u4e3aQEM).<br \/>\n$\\\\$ $\\cdot$ <strong>\u89c6\u89c9\u8bef\u5dee.<\/strong> \u53ef\u53c2\u8003\u8bba\u6587Zhang E, Turk G. Visibility-guided simplification[C]\/\/IEEE Visualization, 2002. VIS 2002. IEEE, 2002: 267-274.<\/p>\n<p><strong>2.2 \u62d3\u6251\u7684\u6709\u6548\u6027\u68c0\u67e5<\/strong><\/p>\n<p>\u5173\u4e8e\u8fde\u901a\u5206\u652f\u6570$s$(\u5373\u7b2c0\u4e2aBetti\u6570), \u4e8f\u683c$g$\u4e0e\u6d1e\u6570$h$\u7684\u6b27\u62c9-\u5e9e\u52a0\u83b1\u516c\u5f0f\u4e3a$$v &#8211; e + f = 2s &#8211; 2g &#8211; h.$$(\u81ea\u5df1\u5e76\u672a\u627e\u5230\u4e0a\u8ff0\u5f62\u5f0f\u7684\u6b27\u62c9-\u5e9e\u52a0\u83b1\u516c\u5f0f\u7684\u51fa\u5904\u56e7( \u256f\u25a1\u2570 ).) \u7136\u800c, \u5728\u5b9e\u9645\u5e94\u7528\u4e2d, \u6b27\u62c9-\u5e9e\u52a0\u83b1\u516c\u5f0f\u7684\u8ba1\u7b97\u8fd8\u662f\u76f8\u5f53\u590d\u6742\u7684, \u6545\u53ef\u9000\u800c\u6c42\u5176\u6b21\u901a\u8fc7Link Condition\u5224\u65ad\u51e0\u4f55\u6a21\u578b\u7684\u62d3\u6251\u7ed3\u6784\u662f\u5426\u53d1\u751f\u6539\u53d8, \u53ef\u53c2\u8003\u8bba\u6587Dey T, Edelsbrunner H, Guha S, et al. Topology preserving edge contraction[J]. Publications de l&#8217;Institut Math\u00e9matique, 1999, 66.<\/p>\n<p><strong>2.3 \u91cd\u65b0\u7f51\u683c\u5316: \u65b9\u6cd5\u8bbe\u8ba1\u539f\u5219<\/strong><br \/>\n$\\\\$ $\\cdot$ \u5c3d\u53ef\u80fd\u5730\u4fdd\u6301\u51e0\u4f55\u6a21\u578b\u7684\u89c6\u89c9\u8f6e\u5ed3.<br \/>\n$\\\\$ $\\cdot$ \u5229\u7528Visual hull\u751f\u6210\u4e00\u4e2a\u4fdd\u6301\u89c6\u89c9\u8f6e\u5ed3\u4e0e\u5e72\u51c0(\u4e8f\u683c\u5c3d\u53ef\u80fd\u5c11, \u6d41\u5f62, \u65e0\u81ea\u76f8\u4ea4\u7684\u4e09\u89d2\u5f62) \u7684\u4ee3\u7406\u7f51\u683c.<br \/>\n$\\\\$ $\\cdot$ \u901a\u8fc7\u51cf\u9762\u7b97\u6cd5\u5f97\u5230\u6700\u7ec8\u7684\u4f4e\u9762\u6570\u7684\u51e0\u4f55\u6a21\u578b.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u660e\u5929\u5468\u65e5\u53c8\u8981\u5f00\u59cb\u4e3a\u671f\u4e00\u4e2a\u591a\u6708\u7684\u5468\u672b\u52a0\u73ed\u751f\u6d3b\u4e86, \u604d\u60da\u95f4\u6709\u79cd\u68a6\u56de2021\u7684\u611f\u89c9, \u90a3\u65f6\u5019\u4e5f\u8fc7\u4e86\u5c06\u8fd1\u4e24\u4e2a\u6708\u7684\u5468\u672b\u52a0 &hellip; <a href=\"https:\/\/www.caiqinyi.cn\/index.php\/2023\/06\/17\/geometry_processing_model_simplification_course_notes\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u51e0\u4f55\u5904\u7406\u548c\u6a21\u578b\u7b80\u5316\u8bfe\u7a0b\u7b14\u8bb0<\/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],"tags":[],"_links":{"self":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/3156"}],"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=3156"}],"version-history":[{"count":10,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/3156\/revisions"}],"predecessor-version":[{"id":3602,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/posts\/3156\/revisions\/3602"}],"wp:attachment":[{"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/media?parent=3156"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/categories?post=3156"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.caiqinyi.cn\/index.php\/wp-json\/wp\/v2\/tags?post=3156"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}