{"id":119,"date":"2024-05-16T01:01:57","date_gmt":"2024-05-15T16:01:57","guid":{"rendered":"https:\/\/techwalkin.net\/?p=119"},"modified":"2024-05-16T01:07:43","modified_gmt":"2024-05-15T16:07:43","slug":"bezier-clipping-1","status":"publish","type":"post","link":"https:\/\/techwalkin.net\/?p=119","title":{"rendered":"Bezier Clipping (1)"},"content":{"rendered":"\n\n\n\n\n<p>\u4eba\u751f\u306b\u4e00\u5ea6\u304f\u3089\u3044\u8ab0\u3057\u3082\u304c<strong>\u300c\u66f2\u9762\u3068\u76f4\u7dda\u306e\u4ea4\u70b9\u3092\u9ad8\u901f\u3067\u6c42\u3081\u305f\u3044\u300d<\/strong>\u3068\u601d\u3046\u3068\u304d\u3042\u308a\u307e\u3059\u3088\u306d\u3002\u66f2\u9762\u3068\u76f4\u7dda\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u3051\u3070\u3044\u3044\u306e\u3067\u3059\u304c\u89e3\u6790\u7684\u306b\u89e3\u3051\u306a\u3044\u5834\u5408\u3082\u591a\u3044\u3067\u3059\u3002<\/p>\n\n\n\n<div style=\"height:36px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u305d\u306e\u3088\u3046\u306a\u3068\u304d\u306b\u306f<strong>\u30cb\u30e5\u30fc\u30c8\u30f3\u6cd5<\/strong>\u3092\u4f7f\u3044\u305f\u304f\u306a\u308a\u307e\u3059\u3002\u81ea\u7531\u66f2\u9762 \\(z=f(x,y)\\) \u3068\u76f4\u7dda \\( \\begin{pmatrix} x \\\\ y \\\\ z \\end{pmatrix} = \\begin{pmatrix} x_0 \\\\ y_0 \\\\ z_0 \\end{pmatrix} + t\\begin{pmatrix} v_x \\\\ v_y \\\\ v_z \\end{pmatrix} \\) \u3068\u306e\u8ddd\u96e2 (\u306e2\u4e57) \u3092\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3057\u307e\u3059.<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\( d^2= \\left( f(x_0+tv_x, y_0+tv_y) &#8211; (z_0+tv_z) \\right)^2 \\)<\/p>\n\n\n\n<p>\u3059\u308b\u3068\u3001\\(d^2 = 0\\) \u306e\u3068\u304d\u306e \\( t \\) \u304c\u308f\u304b\u308c\u3070\u3001\u76f4\u7dda\u306e\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3059\u308b\u3053\u3068\u3067\u4ea4\u70b9\u306e\u5ea7\u6a19\u304c\u6c42\u3081\u3089\u308c\u307e\u3059\u3002\u30cb\u30e5\u30fc\u30c8\u30f3\u6cd5\u306f\u3053\u306e\u3088\u3046\u306a\u8981\u671b\u306b\u5fdc\u3048\u3066\u304f\u308c\u308b\u6709\u540d\u306a\u6c42\u89e3\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059\u3002<br>\u3044\u307e\u95a2\u6570 \\( f: \\mathbb{R} \\rightarrow \\mathbb{R} \\) \u3068 \\( x \\in \\mathbb{R} \\) \u3092\u4f7f\u3063\u3066\u3001<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\( f(x) = 0 \\)<\/p>\n\n\n\n<p>\u3068\u306a\u308b \\( x \\) \u3092\u89e3\u304f\u3053\u3068\u3092\u8003\u3048\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001\\( x = x_0 \\) \u307e\u308f\u308a\u306e\u30c6\u30fc\u30e9\u30fc\u5c55\u958b\u3092\u8003\u3048\u308c\u3070\u3001<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\( f(x) = f(x_0) + f^{\\prime} (x_0) (x-x_0) + O( (x-x_0)^2 ) \\)<\/p>\n\n\n\n<p>\u3053\u306e\u3068\u304d \\( f(x) = 0 \\) \u306e\u89e3\u306f\u3001\u4e0a\u306e\u30c6\u30fc\u30e9\u30fc\u5c55\u958b\u306e\u4e00\u6b21\u306e\u9805\u307e\u3067\u3068\u308c\u3070\u3001<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\( x = x_0 -\\frac{f(x_0)}{f^{\\prime} (x_0)}\\)<\/p>\n\n\n\n<p>\u3053\u308c\u3092\u96e2\u6563\u7684\u306b\u4f7f\u3046\u3068\u89e3\u304c\u6c42\u307e\u308a\u307e\u3059\u3002\\( x_n \\) \u3092\u9069\u5f53\u306b\u3068\u3063\u3066\u3001\u6b21\u306e\u6f38\u5316\u5f0f\u3001<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\( x_{n+1} = x_n -\\frac{f(x_n)}{f^{\\prime} (x_n)}\\)<\/p>\n\n\n\n<p>\u3092\u7e70\u308a\u8fd4\u3057\u4f7f\u3046\u3053\u3068\u3067\u30c6\u30fc\u30e9\u30fc\u5c55\u958b\u3067\u7121\u8996\u3057\u305f2\u6b21\u306e\u901f\u3055\u3067\u53ce\u675f\u3057\u3066\u3044\u304f<strong>\u6c17\u304c\u3059\u308b<\/strong>\u3068\u601d\u3044\u307e\u3059\u3002<br>\u6c17\u304c\u3059\u308b\u3068\u66f8\u3044\u305f\u306e\u306f\u3001\u30cb\u30e5\u30fc\u30c8\u30f3\u6cd5\u306f\u521d\u671f\u5024\u3092\u3046\u307e\u304f\u3068\u3089\u306a\u3044\u3068\u53ce\u675f\u3057\u306a\u3044\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u307e\u305f\u3001\u89e3\u306b\u3088\u3063\u3066\u306f\u4e0d\u5b89\u5b9a\u3067\u3042\u308a\u53ce\u675f\u304c\u60aa\u3044\u5834\u5408\u3082\u3042\u308b\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u3082\u3063\u3068\u3044\u3048\u3070\u3001\u4ea4\u70b9\u306e\u6709\u7121\u3059\u3089\u5b9a\u304b\u3067\u306a\u3044\u5834\u5408\u306b\u306f\u4f7f\u3044\u3065\u3089\u3044\u3067\u3059\u3002<\/p>\n\n\n\n<div style=\"height:33px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u3053\u3053\u3067\u306f\u30cb\u30e5\u30fc\u30c8\u30f3\u6cd5\u3092\u7d39\u4ecb\u3057\u307e\u3057\u305f\u304c\u3001\u4eca\u56de\u306e\u5b9a\u7fa9\u306e\u3088\u3046\u306b\u76ee\u7684\u95a2\u6570\u304c\u6b63\u3068\u308f\u304b\u3063\u3066\u3044\u308b\u5834\u5408\u306b\u306f\u76ee\u7684\u95a2\u6570\u306e\u6700\u5c0f\u5316\u3068\u3082\u307f\u306a\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u306e\u3067\u3001\u6a5f\u68b0\u5b66\u7fd2\u306a\u3069\u3067\u7528\u3044\u3089\u308c\u308b\u3088\u3046\u306a\u6700\u9069\u5316\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3082\u8996\u91ce\u306b\u5165\u3063\u3066\u304d\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u305d\u308c\u3089\u3082\u30cb\u30e5\u30fc\u30c8\u30f3\u6cd5\u3068\u540c\u69d8\u306e\u6b20\u70b9\u3092\u62b1\u3048\u3066\u3044\u3066\u4f7f\u3044\u3065\u3089\u3044\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u305d\u3053\u3067\u3001<span style=\"color: #dc143c\" class=\"text-color\">\u30cb\u30e5\u30fc\u30c8\u30f3\u6cd5\u3088\u308a\u5b89\u5b9a<\/span>\u3067\u3001(\u7d4c\u9a13\u4e0a) <span style=\"color: #dc143c\" class=\"text-color\">\u9ad8\u901f\u306a<\/span>\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3042\u308b<strong>Bezier Clipping\u6cd5<\/strong>\u3092\u4f55\u56de\u304b\u306b\u308f\u3051\u3066\u7d39\u4ecb\u3057\u305f\u3044\u3068\u601d\u3044\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u975e\u7403\u9762\u306e\u30ec\u30a4\u30c8\u30ec\u30fc\u30b9\u306b\u6709\u7528\u3067\u3059\u3002Python\u3067\u306e\u30b5\u30f3\u30d7\u30eb\u30b3\u30fc\u30c9\u3082\u7528\u610f\u3057\u307e\u3059\u306e\u3067\u53c2\u8003\u306b\u3069\u3046\u305e\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4eba\u751f\u306b\u4e00\u5ea6\u304f\u3089\u3044\u8ab0\u3057\u3082\u304c\u300c\u66f2\u9762\u3068\u76f4\u7dda\u306e\u4ea4\u70b9\u3092\u9ad8\u901f\u3067\u6c42\u3081\u305f\u3044\u300d\u3068\u601d\u3046\u3068\u304d\u3042\u308a\u307e\u3059\u3088\u306d\u3002\u66f2\u9762\u3068\u76f4\u7dda\u306e\u9023\u7acb\u65b9\u7a0b\u5f0f\u3092\u89e3\u3051\u3070\u3044\u3044\u306e\u3067\u3059\u304c\u89e3\u6790\u7684\u306b\u89e3\u3051\u306a\u3044\u5834\u5408\u3082\u591a\u3044\u3067\u3059\u3002 \u305d\u306e\u3088\u3046\u306a\u3068\u304d\u306b\u306f\u30cb\u30e5\u30fc\u30c8\u30f3\u6cd5\u3092\u4f7f\u3044\u305f\u304f\u306a\u308a\u307e\u3059\u3002\u81ea\u7531\u66f2\u9762  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":176,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[15,17,16,18],"class_list":["post-119","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-computing","tag-bezierclipping","tag-cagd","tag-16","tag-18"],"_links":{"self":[{"href":"https:\/\/techwalkin.net\/index.php?rest_route=\/wp\/v2\/posts\/119","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/techwalkin.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/techwalkin.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/techwalkin.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/techwalkin.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=119"}],"version-history":[{"count":55,"href":"https:\/\/techwalkin.net\/index.php?rest_route=\/wp\/v2\/posts\/119\/revisions"}],"predecessor-version":[{"id":174,"href":"https:\/\/techwalkin.net\/index.php?rest_route=\/wp\/v2\/posts\/119\/revisions\/174"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/techwalkin.net\/index.php?rest_route=\/wp\/v2\/media\/176"}],"wp:attachment":[{"href":"https:\/\/techwalkin.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=119"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/techwalkin.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=119"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/techwalkin.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=119"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}