{"id":1113,"date":"2018-01-16T23:36:13","date_gmt":"2018-01-16T14:36:13","guid":{"rendered":"http:\/\/naochang.me\/?p=1113"},"modified":"2018-01-16T23:44:50","modified_gmt":"2018-01-16T14:44:50","slug":"%e6%9c%89%e7%90%86%e3%83%99%e3%82%b8%e3%82%a7%e6%9b%b2%e7%b7%9a-rational-bezier-curve","status":"publish","type":"post","link":"https:\/\/stacstar.jp\/blog\/?p=1113","title":{"rendered":"\u6709\u7406\u30d9\u30b8\u30a7\u66f2\u7dda (Rational B\u00e9zier Curve)"},"content":{"rendered":"<p><script async src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.0\/MathJax.js?config=TeX-AMS_CHTML\"><\/script><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"\/blog\/wp-content\/uploads\/curve_rational_bezier.gif\" alt=\"\" width=\"600\" height=\"275\" class=\"border_light aligncenter size-full wp-image-1095\" \/><br \/>\n<a href=\"https:\/\/github.com\/naochang\/Curve\" rel=\"noopener\" target=\"_blank\">github | naochang | Curve<\/a><\/p>\n<p>\u30d9\u30b8\u30a7\u66f2\u7dda\u3067\u306f\u771f\u5186\u306e\u8868\u73fe\u306f\u3067\u304d\u306a\u3044\u3089\u3057\u3044\u3002\u306a\u306e\u3067<a href=\"https:\/\/togetter.com\/li\/1160254\" rel=\"noopener\" target=\"_blank\">Illustrator\u3067\u4f5c\u3063\u305f\u5186\u306f\u5b9f\u306f\u771f\u5186\u3067\u306f\u306a\u3044<\/a>\u306e\u3067\u3001CAD\u306a\u3069\u306b\u6301\u3063\u3066\u3044\u304f\u3068\u304a\u304b\u3057\u306a\u3053\u3068\u306b\u306a\u308b\u3089\u3057\u3044\u3002<\/p>\n<p><!--more--><\/p>\n<p>\u6709\u7406\u30d9\u30b8\u30a7\u66f2\u7dda\u3067\u306f\u771f\u5186\u306e\u8868\u73fe\u304c\u53ef\u80fd\u3002\u300c\u6709\u7406\u6570\u300d\u3068\u306f\u6574\u6570\u306e\u5206\u6570\u3067\u8868\u305b\u308b\u6570\u306e\u3053\u3068(\u7121\u7406\u6570\u3067\u306f\u306a\u3044)\u3001\u300c\u6709\u7406(\u95a2\u6570\/\u5f0f)\u300d\u306f\\(f(x)=\\frac{P(x)}{Q(x)} (Q(x) \\neq 0)\\)\u3068\u8868\u3055\u308c\u308b\u5f0f\u306e\u3053\u3068\u3002\u6709\u7406\u5f0f\u3092\u4f7f\u3063\u3066\u8868\u305b\u308b\u66f2\u7dda\u306e\u3053\u3068\u3092<span class=\"keyword\">\u6709\u7406\u5f0f\u66f2\u7dda<\/span>\u3068\u3044\u3046\u3088\u3046\u3067\u3001\u6709\u7406\u30d9\u30b8\u30a7\u66f2\u7dda\u3067\u306f\u5404\u70b9\u306b\u91cd\u307f\u3092\u6301\u305f\u305b\u308b\u3053\u3068\u3067\u66f2\u7dda\u306e\u8868\u73fe\u3092\u5909\u3048\u3089\u308c\u308b\u3002<br \/>\n\u5f0f\u306f<\/p>\n<p>\\begin{align}<br \/>\nP(t) = \\frac{\\sum_{i=0}^{n}w_iP_iB_i^n(t)}{\\sum_{i=0}^nw_iB_i^n(t)}<br \/>\n\\end{align}<\/p>\n<p>\u3042\u3068\u306f\u30d9\u30b8\u30a7\u66f2\u7dda\u306e\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u7d99\u627f\u3057\u3066\u3001\u8a08\u7b97\u65b9\u6cd5\u3092\u5909\u3048\u3066\u307f\u305f\u3051\u3069\u3001\u3042\u307e\u308a\u6d17\u7df4\u3055\u308c\u3066\u3044\u306a\u3044\u30b3\u30fc\u30c9\u304b\u3082&#8230;<\/p>\n<p>\u53c2\u8003\uff09<br \/>\n<a href=\"http:\/\/kanamori.cs.tsukuba.ac.jp\/lecture\/2017\/cg_basics\/06\/06_slides.pdf\" rel=\"noopener\" target=\"_blank\">\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30b0\u30e9\u30d5\u30a3\u30c3\u30af\u30b9 \u57fa\u790e<\/a><br \/>\n<script src=\"http:\/\/gist-it.appspot.com\/github\/naochang\/Curve\/blob\/master\/Assets\/Scripts\/Curve\/RationalBezierCurve.cs\"><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>github | naochang | Curve \u30d9\u30b8\u30a7\u66f2\u7dda\u3067\u306f\u771f\u5186\u306e\u8868\u73fe\u306f\u3067\u304d\u306a\u3044\u3089\u3057\u3044\u3002\u306a\u306e\u3067Illustrator\u3067\u4f5c\u3063\u305f\u5186\u306f\u5b9f\u306f\u771f\u5186\u3067\u306f\u306a\u3044\u306e\u3067\u3001CAD\u306a\u3069\u306b\u6301\u3063\u3066\u3044\u304f\u3068\u304a\u304b\u3057\u306a\u3053\u3068\u306b\u306a\u308b\u3089\u3057\u3044\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,17,16,2],"tags":[],"class_list":["post-1113","post","type-post","status-publish","format-standard","hentry","category-c","category-curve","category-math","category-unity"],"_links":{"self":[{"href":"https:\/\/stacstar.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1113","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/stacstar.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/stacstar.jp\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/stacstar.jp\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/stacstar.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1113"}],"version-history":[{"count":13,"href":"https:\/\/stacstar.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1113\/revisions"}],"predecessor-version":[{"id":1516,"href":"https:\/\/stacstar.jp\/blog\/index.php?rest_route=\/wp\/v2\/posts\/1113\/revisions\/1516"}],"wp:attachment":[{"href":"https:\/\/stacstar.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1113"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/stacstar.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1113"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/stacstar.jp\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1113"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}