{"id":4533,"date":"2022-02-11T22:21:00","date_gmt":"2022-02-11T14:21:00","guid":{"rendered":"https:\/\/www.yumefx.com\/?p=4533"},"modified":"2022-02-09T15:41:05","modified_gmt":"2022-02-09T07:41:05","slug":"%e8%b4%9d%e5%a1%9e%e5%b0%94%e6%9b%b2%e7%ba%bf%e4%b8%8e%e8%b4%9d%e5%a1%9e%e5%b0%94%e6%9b%b2%e9%9d%a2","status":"publish","type":"post","link":"https:\/\/www.yumefx.com\/?p=4533","title":{"rendered":"\u8d1d\u585e\u5c14\u66f2\u7ebf\u4e0e\u8d1d\u585e\u5c14\u66f2\u9762"},"content":{"rendered":"\n<h1 style=\"text-align: center;\">\u524d\u8a00<\/h1>\n<p>\u8d1d\u585e\u5c14\u66f2\u7ebf(B\u00e9zier Curves)\uff0c\u4ece\u540d\u5b57\u5c31\u53ef\u4ee5\u770b\u51fa\u4e0d\u662f\u82f1\u6587\u540d\u8bcd\uff0c\u662f\u4e00\u4e2a\u6cd5\u56fd\u5de5\u7a0b\u5e08\u76ae\u57c3\u5c14\u00b7\u8d1d\u6d4e\u57c3\uff08Pierre B\u00e9zier\uff09\u5e7f\u6cdb\u53d1\u8868\uff0c\u7528\u4e8e\u8bbe\u8ba1\u6c7d\u8f66\u8f66\u8eab\u66f2\u9762\u7684\u7b97\u6cd5\u3002<\/p>\n<p>\u8d1d\u585e\u5c14\u66f2\u7ebf\u6709\u7740\u5f88\u591a\u7279\u6b8a\u7684\u6027\u8d28\uff0c\u5728\u56fe\u5f62\u8bbe\u8ba1\u548c\u8def\u5f84\u89c4\u5212\u4e2d\u5e94\u7528\u90fd\u975e\u5e38\u5e7f\u6cdb\uff0c\u8d1d\u585e\u5c14\u66f2\u7ebf\u5b8c\u5168\u7531\u5176\u63a7\u5236\u70b9\u51b3\u5b9a\u5176\u5f62\u72b6,\u3000\uff4e\u4e2a\u63a7\u5236\u70b9\u5bf9\u5e94\u7740\uff4e\uff0d\uff11\u9636\u7684\u8d1d\u585e\u5c14\u66f2\u7ebf\uff0c\u5e76\u4e14\u53ef\u4ee5\u901a\u8fc7<strong>\u9012\u5f52<\/strong>\u7684\u65b9\u5f0f\u6765\u7ed8\u5236\uff08\u5212\u91cd\u70b9\u554a\uff0c\u9012\u5f52\uff09\u3002<\/p>\n<h1>\u00a0<\/h1>\n<h1 style=\"text-align: center;\"><b>\u8d1d\u585e\u5c14\u66f2\u7ebf(B\u00e9zier Curves)<\/b><\/h1>\n<p>\u9996\u5148\u770b\u4e00\u4e0b\u8d1d\u585e\u5c14\u66f2\u7ebf\u662f\u5982\u4f55\u7ed8\u5236\u7684<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-4555 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_14.gif\" alt=\"\" width=\"968\" height=\"438\" \/><\/p>\n<p>\u4e0a\u56fe\u6765\u81ea<a href=\"https:\/\/www.jasondavies.com\/animated-bezier\/\">Jason Davies<\/a>\uff0c\u8be5\u9875\u9762\u7684\u63a7\u5236\u70b9\u662f\u53ef\u4ee5\u81ea\u7531\u79fb\u52a8\u7684\uff0c\u53ef\u4ee5\u53bb\u73a9\u4e00\u4e0b\u611f\u53d7\u63a7\u5236\u70b9\u4f4d\u7f6e\u5bf9\u4e8e\u66f2\u7ebf\u5f62\u72b6\u7684\u5f71\u54cd\u3002<\/p>\n<p>\u8d1d\u585e\u5c14\u66f2\u7ebf\u7684\u5b9a\u4e49\u5f88\u50cf\u53c2\u6570\u65b9\u7a0b\uff0c\u7ed9\u5b9a\u4e00\u4e2a\u53c2\u6570t\u53d6\u503c\u8303\u56f4\u4e3a[0, 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loading=\"lazy\" class=\"size-full wp-image-4557 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_16.jpg\" alt=\"\" width=\"1197\" height=\"252\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_16.jpg 1197w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_16-300x63.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_16-1024x216.jpg 1024w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_16-768x162.jpg 768w\" sizes=\"(max-width: 1197px) 100vw, 1197px\" \/><\/p>\n<p>\u4e00\u9636\u8d1d\u585e\u5c14\u66f2\u7ebf\u5f88\u597d\u7406\u89e3\uff0c\u5c31\u662f\u6839\u636et\u8fdb\u884c\u7684\u7ebf\u6027\u63d2\u503c\u3002<\/p>\n<h3>\u00a0<\/h3>\n<h3>\u4e8c\u9636\u8d1d\u585e\u5c14\u66f2\u7ebf<\/h3>\n<p><img loading=\"lazy\" class=\"size-full wp-image-4560 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_17.gif\" alt=\"\" width=\"265\" height=\"438\" 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class=\"size-full wp-image-4545 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_07.jpg\" alt=\"\" width=\"840\" height=\"438\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_07.jpg 840w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_07-300x156.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_07-768x400.jpg 768w\" sizes=\"(max-width: 840px) 100vw, 840px\" \/><\/p>\n<p>\u5176\u5b9e\u770b\u5230\u8fd9\u5c31\u5df2\u7ecf\u975e\u5e38\u6e05\u695a\u4e86\uff0c\u6700\u7ec8\u5f97\u5230\u7684\u8d1d\u585e\u5c14\u66f2\u7ebf\u65b9\u7a0b\u6070\u597d\u5c31\u662f\u4e00\u4e2a\u5173\u4e8e\u53c2\u6570 t 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loading=\"lazy\" class=\"size-full wp-image-4549 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_10.png\" alt=\"\" width=\"505\" height=\"412\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_10.png 505w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_10-300x245.png 300w\" sizes=\"(max-width: 505px) 100vw, 505px\" \/><\/p>\n<p data-pid=\"_IBgIJTe\">\u4e0a\u56fe\u6765\u81ea\u4e00\u4e2a\u8d1d\u585e\u5c14\u66f2\u7ebf\u7684<b><a class=\" wrap external\" href=\"https:\/\/math.hws.edu\/eck\/cs424\/notes2013\/canvas\/bezier.html\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" data-za-detail-view-id=\"1043\">\u7f51\u9875demo<\/a>\uff0c<\/b>\u4e5f\u53ef\u4ee5\u53bb\u73a9\u73a9\u3002<\/p>\n<p data-pid=\"_IBgIJTe\">PS\u7b49\u5177\u6709\u753b\u56fe\u529f\u80fd\u7684\u8f6f\u4ef6\u4e2d\u7684\u94a2\u7b14\u5de5\u5177\u6240\u8fd0\u7528\u7684\u4fbf\u662f\u8fd9\u79cd3\u6b21\u5206\u6bb5\u8d1d\u585e\u5c14\u66f2\u7ebf\uff0c\u8fd8\u5728\u8bb8\u591a\u5b57\u4f53\u6216\u662f\u77e2\u91cf\u56fe\u7684\u8bbe\u8ba1\u4e2d\u5e7f\u6cdb\u4f7f\u7528\u3002<\/p>\n<h1>\u00a0<\/h1>\n<h1 style=\"text-align: center;\"><b>\u8d1d\u585e\u5c14\u66f2\u9762(B\u00e9zier Surfaces)<\/b><\/h1>\n<p><img loading=\"lazy\" class=\"size-full wp-image-4551 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_12.jpg\" alt=\"\" width=\"813\" height=\"539\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_12.jpg 813w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_12-300x199.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_12-768x509.jpg 768w\" sizes=\"(max-width: 813px) 100vw, 813px\" \/><\/p>\n<p data-pid=\"kU4iowXs\">\u5176\u5b9e\u5728\u7406\u89e3\u4e86\u8d1d\u585e\u5c14\u66f2\u7ebf\u4e4b\u540e\uff0c\u8d1d\u585e\u5c14\u66f2\u9762\u7684\u539f\u7406\u4e5f\u662f\u5341\u5206\u5bb9\u6613\u7406\u89e3\u7684\u4e86\uff0c\u65e0\u975e\u662f\u4e00\u4e2a\u4ece2\u7ef4\u52303\u7ef4\u7684\u8fc7\u6e21\u3002<\/p>\n<p data-pid=\"Hr0j-Z1t\">\u5982\u679c\u8bf4\u5bf9\u4e8e\u66f2\u7ebf\u6765\u8bf4\u53ea\u6709\u4e00\u4e2a\u53c2\u6570 t \uff0c\u90a3\u4e48\u5bf9\u4e8e\u4e00\u4e2a\u9762\u6765\u8bf4\uff0c\u5c31\u5e94\u8be5\u6709\u4e24\u4e2a\u53c2\u6570\uff0c\u5206\u522b\u8bbe u\uff0cv\uff0c\u53d6\u503c\u8303\u56f4\u4e3a[0, 1]\uff0c\u5177\u4f53\u8fc7\u7a0b\u5982\u4e0b\u56fe\u6240\u793a:<\/p>\n<p data-pid=\"Hr0j-Z1t\"><img loading=\"lazy\" class=\"size-full wp-image-4552 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_13.jpg\" alt=\"\" width=\"858\" height=\"533\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_13.jpg 858w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_13-300x186.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2022\/02\/Bezier_13-768x477.jpg 768w\" sizes=\"(max-width: 858px) 100vw, 858px\" \/><\/p>\n<p data-pid=\"ecRfdo19\">\u9996\u5148\u89c4\u5b9a\u4e00\u51714&#215;4 = 16\u4e2a\u63a7\u5236\u70b9\uff0c\u5176\u6c34\u5e73\u9762\u4f4d\u7f6e\u5982\u56fe\u4e2d16\u4e2a\u9ed1\u70b9\u6240\u793a(\u5e76\u672a\u8868\u793a\u51fa\u9ad8\u5ea6\uff0c\u9632\u6b62\u56fe\u5f62\u592a\u4e71)\uff0c\u5c06\u8fd916\u4e2a\u70b9\u5206\u62104\u5217\uff0c\u56fe\u4e2d\u7ea2\u8272\u5708\u4e2d\u7684\u4e3a\u4e00\u5217\u7684\u5177\u4f53\u4f8b\u5b50\u3002<\/p>\n<p data-pid=\"J00Yz_kE\"><b>\u7b2c1\u6b65 \u5728\u8fd94\u4e2a\u63a7\u5236\u70b9\u4e4b\u4e0b\u5229\u7528\u7b2c\u4e00\u4e2a\u53c2\u6570 u 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[&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":4534,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4,84],"tags":[86,14,83],"_links":{"self":[{"href":"https:\/\/www.yumefx.com\/index.php?rest_route=\/wp\/v2\/posts\/4533"}],"collection":[{"href":"https:\/\/www.yumefx.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.yumefx.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.yumefx.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.yumefx.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4533"}],"version-history":[{"count":0,"href":"https:\/\/www.yumefx.com\/index.php?rest_route=\/wp\/v2\/posts\/4533\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.yumefx.com\/index.php?rest_route=\/wp\/v2\/media\/4534"}],"wp:attachment":[{"href":"https:\/\/www.yumefx.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4533"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.yumefx.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4533"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.yumefx.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4533"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}