{"id":720,"date":"2022-07-18T16:52:33","date_gmt":"2022-07-18T08:52:33","guid":{"rendered":"https:\/\/www.acgloby.com\/?p=720"},"modified":"2022-07-18T16:52:33","modified_gmt":"2022-07-18T08:52:33","slug":"opengl-%e5%90%91%e9%87%8f%e7%9f%a9%e9%98%b5","status":"publish","type":"post","link":"https:\/\/www.acgloby.com\/index.php\/2022\/07\/18\/opengl-%e5%90%91%e9%87%8f%e7%9f%a9%e9%98%b5\/","title":{"rendered":"OpenGL-\u5411\u91cf\u77e9\u9635"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u5411\u91cf<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5411\u91cf\u6700\u57fa\u672c\u7684\u5b9a\u4e49\u5c31\u662f\u4e00\u4e2a\u65b9\u5411\uff0c\u5411\u91cf\u6709\u4e00\u4e2a<strong>\u65b9\u5411(Direction)<\/strong>\u548c<strong>\u5927\u5c0f(Magnitude\uff0c\u4e5f\u53eb\u505a\u5f3a\u5ea6\u6216\u957f\u5ea6)<\/strong>\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image.png\" alt=\"\" class=\"wp-image-724\"\/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading\">\u5411\u91cf\u53d6\u53cd<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e00\u4e2a\u5411\u91cf<strong>\u53d6\u53cd(Negate)<\/strong>\u4f1a\u5c06\u5176\u65b9\u5411\u9006\u8f6c\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-15.png\" alt=\"\" class=\"wp-image-747\"\/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading\">\u5411\u91cf\u52a0\u51cf<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u5411\u91cf\u7684\u52a0\u6cd5\u53ef\u4ee5\u88ab\u5b9a\u4e49\u4e3a\u662f<strong>\u5206\u91cf(Component-wise)<\/strong>\u7684\u76f8\u52a0\uff0c\u5373\u5c06\u4e00\u4e2a\u5411\u91cf\u4e2d\u7684\u6bcf\u4e00\u4e2a\u5206\u91cf\u52a0\u4e0a\u53e6\u4e00\u4e2a\u5411\u91cf\u7684\u5bf9\u5e94\u5206\u91cf\uff1a<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-1.png\" alt=\"\" class=\"wp-image-726\"\/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-3.png\" alt=\"\" class=\"wp-image-728\"\/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u5411\u91cf\u7684\u51cf\u6cd5\u7b49\u4e8e\u52a0\u4e0a\u7b2c\u4e8c\u4e2a\u5411\u91cf\u7684\u76f8\u53cd\u5411\u91cf\uff1a<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-4.png\" alt=\"\" class=\"wp-image-729\"\/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-5.png\" alt=\"\" class=\"wp-image-730\"\/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading\">\u957f\u5ea6<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f7f\u7528<strong>\u52fe\u80a1\u5b9a\u7406(Pythagoras Theorem)<\/strong>\u6765\u83b7\u53d6\u5411\u91cf\u7684\u957f\u5ea6\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-6.png\" alt=\"\" class=\"wp-image-731\"\/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-7.png\" alt=\"\" class=\"wp-image-732\" width=\"252\" height=\"79\"\/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-8.png\" alt=\"\" class=\"wp-image-733\"\/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading\">\u5355\u4f4d\u5411\u91cf<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u6709\u4e00\u4e2a\u7279\u6b8a\u7c7b\u578b\u7684\u5411\u91cf\u53eb\u505a<strong>\u5355\u4f4d\u5411\u91cf(Unit Vector)<\/strong>\uff0c\u5355\u4f4d\u5411\u91cf\u6709\u4e00\u4e2a\u7279\u522b\u7684\u6027\u8d28\u2014\u2014\u5b83\u7684\u957f\u5ea6\u662f1\u3002\u6211\u4eec\u628a\u8fd9\u79cd\u65b9\u6cd5\u53eb\u505a\u4e00\u4e2a\u5411\u91cf\u7684<strong>\u6807\u51c6\u5316(Normalizing)<\/strong>\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-9.png\" alt=\"\" class=\"wp-image-734\"\/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading\">\u70b9\u4e58<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u70b9\u4e58(Dot Product)<\/strong>\uff0c\u4e24\u4e2a\u5411\u91cf\u7684\u70b9\u4e58\u7b49\u4e8e\u5b83\u4eec\u7684\u6570\u4e58\u7ed3\u679c\u4e58\u4ee5\u4e24\u4e2a\u5411\u91cf\u4e4b\u95f4\u5939\u89d2\u7684\u4f59\u5f26\u503c\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-10.png\" alt=\"\" class=\"wp-image-735\" width=\"293\" height=\"62\"\/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u4e24\u4e2a\u5411\u91cf\u770b\u505a\u662f\u5355\u4f4d\u5411\u91cf\uff0c\u957f\u5ea6\u662f1\uff0c\u516c\u5f0f\u5c31\u7b80\u5316\u6210\uff1a<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-13.png\" alt=\"\" class=\"wp-image-741\"\/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u4f7f\u7528\u70b9\u4e58\u53ef\u4ee5\u5f88\u5bb9\u6613\u6d4b\u8bd5\u4e24\u4e2a\u5411\u91cf\u662f\u5426<strong>\u6b63\u4ea4(Orthogonal)<\/strong>\u6216<strong>\u5e73\u884c<\/strong>\uff08\u6b63\u4ea4\u610f\u5473\u7740\u4e24\u4e2a\u5411\u91cf\u4e92\u4e3a\u76f4\u89d2\uff09\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u901a\u8fc7\u70b9\u4e58\u7684\u7ed3\u679c\u8ba1\u7b97\u4e24\u4e2a\u975e\u5355\u4f4d\u5411\u91cf\u7684\u5939\u89d2\uff0c\u70b9\u4e58\u7684\u7ed3\u679c\u9664\u4ee5\u4e24\u4e2a\u5411\u91cf\u7684\u957f\u5ea6\u4e4b\u79ef\uff0c\u5f97\u5230\u7684\u7ed3\u679c\u5c31\u662f\u5939\u89d2\u7684\u4f59\u5f26\u503c\uff0c\u5373cos\u03b8\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-11-1.png\" alt=\"\" class=\"wp-image-749\"\/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-12.png\" alt=\"\" class=\"wp-image-740\"\/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading\">\u53c9\u4e58<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-14.png\" alt=\"\" class=\"wp-image-742\"\/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><strong>\u53c9\u4e58\uff08Cross Product\uff09<\/strong>\u53c8\u79f0<strong>\u5411\u91cf\u79ef<\/strong>\uff08Vector Product\uff09\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u8fd0\u7b97\u7ed3\u679c\u662f\u4e00\u4e2a\u5411\u91cf\uff0c\u5e76\u4e14\u4e0e\u8fd9\u4e24\u4e2a\u5411\u91cf\u90fd<strong>\u5782\u76f4<\/strong>\uff0c\u662f\u8fd9\u4e24\u4e2a\u5411\u91cf\u6240\u5728\u5e73\u9762\u7684<strong>\u6cd5\u7ebf\u5411\u91cf<\/strong>\u3002\u4f7f\u7528\u53f3\u624b\u5b9a\u5219\u786e\u5b9a\u5176\u65b9\u5411\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/v2-43a02bde1ef5822f157f9c4c3aadb800_r.jpg\" alt=\"\" class=\"wp-image-743\" width=\"386\" height=\"339\"\/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-16.png\" alt=\"\" class=\"wp-image-751\"\/><\/figure>\n<\/div>\n\n\n<h2 class=\"wp-block-heading\">\u77e9\u9635<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b80\u5355\u6765\u8bf4\u77e9\u9635\u5c31\u662f\u4e00\u4e2a\u77e9\u5f62\u7684<strong>\u6570\u5b57<\/strong>\u3001<strong>\u7b26\u53f7<\/strong>\u6216<strong>\u8868\u8fbe\u5f0f<\/strong>\u6570\u7ec4\u3002\u77e9\u9635\u4e2d\u6bcf\u4e00\u9879\u53eb\u505a\u77e9\u9635\u7684<strong>\u5143\u7d20(Element)<\/strong>\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u77e9\u9635\u7684\u52a0\u51cf<\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-19.png\" alt=\"\" class=\"wp-image-757\"\/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-22.png\" alt=\"\" class=\"wp-image-767\"\/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u6ce8\u610f\uff0c\u6570\u5b66\u4e0a\u662f\u6ca1\u6709\u77e9\u9635\u4e0e\u6807\u91cf\u76f8\u52a0\u51cf\u7684\u8fd0\u7b97\u7684\uff0c\u4f46\u662f\u5f88\u591a\u7ebf\u6027\u4ee3\u6570\u7684\u5e93\u90fd\u5bf9\u5b83\u6709\u652f\u6301\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u77e9\u9635\u7684\u6570\u4e58<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u548c\u77e9\u9635\u4e0e\u6807\u91cf\u7684\u52a0\u51cf\u4e00\u6837\uff0c\u77e9\u9635\u4e0e\u6807\u91cf\u4e4b\u95f4\u7684\u4e58\u6cd5\u4e5f\u662f\u77e9\u9635\u7684\u6bcf\u4e00\u4e2a\u5143\u7d20\u5206\u522b\u4e58\u4ee5\u8be5\u6807\u91cf\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-23.png\" alt=\"\" class=\"wp-image-770\"\/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading\">\u77e9\u9635\u76f8\u4e58<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u77e9\u9635\u76f8\u4e58\u7684\u9650\u5236\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>\u53ea\u6709\u5f53\u5de6\u4fa7\u77e9\u9635\u7684\u5217\u6570\u4e0e\u53f3\u4fa7\u77e9\u9635\u7684<strong>\u884c\u6570\u76f8\u7b49<\/strong>\uff0c\u4e24\u4e2a\u77e9\u9635\u624d\u80fd\u76f8\u4e58\u3002<\/li><li>\u77e9\u9635\u76f8\u4e58\u4e0d\u9075\u5b88<strong>\u4ea4\u6362\u5f8b(Commutative)<\/strong>\uff0c\u4e5f\u5c31\u662f\u8bf4A\u22c5B\u2260B\u22c5AA\u22c5B\u2260B\u22c5A\u3002<\/li><\/ol>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-24.png\" alt=\"\" class=\"wp-image-771\"\/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">\u5355\u4f4d\u77e9\u9635<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728OpenGL\u4e2d\uff0c\u7531\u4e8e\u67d0\u4e9b\u539f\u56e0\u6211\u4eec\u901a\u5e38\u4f7f\u7528<strong>4\u00d74<\/strong>\u7684\u53d8\u6362\u77e9\u9635\uff0c\u800c\u5176\u4e2d\u6700\u91cd\u8981\u7684\u539f\u56e0\u5c31\u662f\u5927\u90e8\u5206\u7684\u5411\u91cf\u90fd\u662f4\u5206\u91cf\u7684\u3002\u6700\u7b80\u5355\u7684\u53d8\u6362\u77e9\u9635\u5c31\u662f<strong>\u5355\u4f4d\u77e9\u9635(Identity Matrix)<\/strong>\uff0c\u5355\u4f4d\u77e9\u9635\u662f\u4e00\u4e2a\u9664\u4e86\u5bf9\u89d2\u7ebf\u4ee5\u5916\u90fd\u662f0\u7684<strong>N\u00d7N<\/strong>\u77e9\u9635\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-25.png\" alt=\"\" class=\"wp-image-774\"\/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading\">\u7f29\u653e<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e00\u4e2a\u5411\u91cf\u8fdb\u884c<strong>\u7f29\u653e(Scaling)<\/strong>\u5c31\u662f\u5bf9\u5411\u91cf\u7684<strong>\u957f\u5ea6<\/strong>\u8fdb\u884c\u7f29\u653e\uff0c\u800c\u4fdd\u6301\u5b83\u7684<strong>\u65b9\u5411\u4e0d\u53d8<\/strong>\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-26.png\" alt=\"\" class=\"wp-image-777\"\/><\/figure>\n<\/div>\n\n\n<h4 class=\"wp-block-heading\">\u4f4d\u79fb<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u4f4d\u79fb(Translation)<\/strong>\u662f\u5728<strong>\u539f\u59cb\u5411\u91cf<\/strong>\u7684\u57fa\u7840\u4e0a<strong>\u52a0\u4e0a<\/strong>\u53e6\u4e00\u4e2a\u5411\u91cf\u4ece\u800c\u83b7\u5f97\u4e00\u4e2a\u5728<strong>\u4e0d\u540c\u4f4d\u7f6e<\/strong>\u7684\u65b0\u5411\u91cf\u7684\u8fc7\u7a0b\uff0c\u4ece\u800c\u5728\u4f4d\u79fb\u5411\u91cf\u57fa\u7840\u4e0a<strong>\u79fb\u52a8<\/strong>\u4e86\u539f\u59cb\u5411\u91cf\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>\u9f50\u6b21\u5750\u6807(Homogeneous Coordinates)<\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u5411\u91cf\u7684w\u5206\u91cf\u4e5f\u53eb\u9f50\u6b21\u5750\u6807\u3002\u60f3\u8981\u4ece\u9f50\u6b21\u5411\u91cf\u5f97\u52303D\u5411\u91cf\uff0c\u53ef\u4ee5\u628ax\u3001y\u548cz\u5750\u6807\u5206\u522b\u9664\u4ee5w\u5750\u6807\u3002\u901a\u5e38\u4e0d\u4f1a\u6ce8\u610f\u8fd9\u4e2a\u95ee\u9898\uff0c\u56e0\u4e3aw\u5206\u91cf\u901a\u5e38\u662f1.0\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f7f\u7528\u9f50\u6b21\u5750\u6807\u6709\u51e0\u70b9\u597d\u5904\uff1a\u5b83\u5141\u8bb8\u6211\u4eec\u57283D\u5411\u91cf\u4e0a\u8fdb\u884c\u4f4d\u79fb\uff08\u5982\u679c\u6ca1\u6709w\u5206\u91cf\u6211\u4eec\u662f\u4e0d\u80fd\u4f4d\u79fb\u5411\u91cf\u7684\uff09\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u4e00\u4e2a\u5411\u91cf\u7684\u9f50\u6b21\u5750\u6807\u662f0\uff0c\u8fd9\u4e2a\u5750\u6807\u5c31\u662f<strong>\u65b9\u5411\u5411\u91cf(Direction Vector)<\/strong>\uff0c\u56e0\u4e3aw\u5750\u6807\u662f0\uff0c\u8fd9\u4e2a\u5411\u91cf\u5c31\u4e0d\u80fd\u4f4d\u79fb\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u65cb\u8f6c<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">2D\u62163D\u7a7a\u95f4\u4e2d\u7684\u65cb\u8f6c\u7528<strong>\u89d2(Angle)<\/strong>\u6765\u8868\u793a\u3002\u89d2\u53ef\u4ee5\u662f<strong>\u89d2\u5ea6\u5236<\/strong>\u6216<strong>\u5f27\u5ea6\u5236<\/strong>\u7684\uff0c\u5468\u89d2\u662f360\u89d2\u5ea6\u62162PI\u5f27\u5ea6\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>\u5f27\u5ea6\u8f6c\u89d2\u5ea6\uff1a<code>\u89d2\u5ea6 = \u5f27\u5ea6 * (180.0f \/ PI)<\/code><\/li><li>\u89d2\u5ea6\u8f6c\u5f27\u5ea6\uff1a<code>\u5f27\u5ea6 = \u89d2\u5ea6 * (PI \/ 180.0f)<\/code><\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u57283D\u7a7a\u95f4\u4e2d\u65cb\u8f6c\u9700\u8981\u5b9a\u4e49\u4e00\u4e2a<strong>\u89d2<\/strong>\u548c\u4e00\u4e2a<strong>\u65cb\u8f6c\u8f74(Rotation Axis)<\/strong>\u3002\u7269\u4f53\u4f1a\u6cbf\u7740\u7ed9\u5b9a\u7684\u65cb\u8f6c\u8f74\u65cb\u8f6c\u7279\u5b9a\u89d2\u5ea6\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6cbfx\u8f74\u65cb\u8f6c\uff1a<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-27.png\" alt=\"\" class=\"wp-image-784\"\/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u6cbfy\u8f74\u65cb\u8f6c\uff1a<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-28.png\" alt=\"\" class=\"wp-image-785\"\/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u6cbfz\u8f74\u65cb\u8f6c\uff1a<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/www.acgloby.com\/wp-content\/uploads\/2022\/07\/image-29.png\" alt=\"\" class=\"wp-image-786\"\/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">\u5229\u7528\u65cb\u8f6c\u77e9\u9635\u6211\u4eec\u53ef\u4ee5\u628a\u4efb\u610f\u4f4d\u7f6e\u5411\u91cf\u6cbf\u4e00\u4e2a\u5355\u4f4d\u65cb\u8f6c\u8f74\u8fdb\u884c\u65cb\u8f6c\u3002\u4e5f\u53ef\u4ee5\u5c06\u591a\u4e2a\u77e9\u9635\u590d\u5408\uff0c\u6bd4\u5982\u5148\u6cbf\u7740x\u8f74\u65cb\u8f6c\u518d\u6cbf\u7740y\u8f74\u65cb\u8f6c\u3002\u4f46\u662f\u8fd9\u4f1a\u5bfc\u81f4\u4e00\u4e2a\u95ee\u9898\u2014\u2014<strong>\u4e07\u5411\u8282\u6b7b\u9501\uff08Gimbal Lock\uff09<\/strong>\uff0c\u907f\u514d\u4e07\u5411\u8282\u6b7b\u9501\u7684\u771f\u6b63\u89e3\u51b3\u65b9\u6848\u662f\u4f7f\u7528<strong>\u56db\u5143\u6570(Quaternion)<\/strong>\uff0c\u5b83\u4e0d\u4ec5\u66f4\u5b89\u5168\uff0c\u800c\u4e14\u8ba1\u7b97\u4f1a\u66f4\u6709\u6548\u7387\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u77e9\u9635\u7ec4\u5408<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u77e9\u9635\u4e58\u6cd5\u662f\u4e0d\u9075\u5b88\u4ea4\u6362\u5f8b\u7684\uff0c\u987a\u5e8f\u5f88\u91cd\u8981\u3002\u5f53\u77e9\u9635\u76f8\u4e58\u65f6\uff0c\u5728\u6700\u53f3\u8fb9\u7684\u77e9\u9635\u662f\u7b2c\u4e00\u4e2a\u4e0e\u5411\u91cf\u76f8\u4e58\u7684\uff0c\u6240\u4ee5\u5e94\u8be5<strong>\u4ece\u53f3\u5411\u5de6<\/strong>\u8bfb\u8fd9\u4e2a\u4e58\u6cd5\u3002\u5efa\u8bae\u5728\u7ec4\u5408\u77e9\u9635\u65f6\uff0c\u5148\u8fdb\u884c\u7f29\u653e\u64cd\u4f5c\uff0c\u7136\u540e\u662f\u65cb\u8f6c\uff0c\u6700\u540e\u624d\u662f\u4f4d\u79fb\uff0c\u5426\u5219\u5b83\u4eec\u4f1a\u4e92\u76f8\u5f71\u54cd\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5411\u91cf \u5411\u91cf\u6700\u57fa\u672c\u7684\u5b9a\u4e49\u5c31\u662f\u4e00\u4e2a\u65b9\u5411\uff0c\u5411\u91cf\u6709\u4e00\u4e2a\u65b9\u5411(Direction)\u548c\u5927\u5c0f(Magnitude\uff0c\u4e5f\u53eb\u505a\u5f3a\u5ea6\u6216\u957f\u5ea6)\u3002 \u5411\u91cf\u53d6\u53cd &#8230;<\/p>\n","protected":false},"author":1,"featured_media":315,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"emotion":"","emotion_color":"","title_style":"","license":"","footnotes":""},"categories":[3],"tags":[],"class_list":["post-720","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-graphics"],"_links":{"self":[{"href":"https:\/\/www.acgloby.com\/index.php\/wp-json\/wp\/v2\/posts\/720","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acgloby.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acgloby.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acgloby.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acgloby.com\/index.php\/wp-json\/wp\/v2\/comments?post=720"}],"version-history":[{"count":0,"href":"https:\/\/www.acgloby.com\/index.php\/wp-json\/wp\/v2\/posts\/720\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acgloby.com\/index.php\/wp-json\/wp\/v2\/media?parent=720"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acgloby.com\/index.php\/wp-json\/wp\/v2\/categories?post=720"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acgloby.com\/index.php\/wp-json\/wp\/v2\/tags?post=720"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}