{"id":3802,"date":"2021-12-05T22:40:00","date_gmt":"2021-12-05T14:40:00","guid":{"rendered":"https:\/\/www.yumefx.com\/?p=3802"},"modified":"2022-02-09T13:43:15","modified_gmt":"2022-02-09T05:43:15","slug":"%e7%9f%a9%e9%98%b5%e7%9a%84%e5%9f%ba%e7%a1%80%e5%8f%98%e6%8d%a2","status":"publish","type":"post","link":"https:\/\/www.yumefx.com\/?p=3802","title":{"rendered":"\u77e9\u9635\u7684\u57fa\u7840\u53d8\u6362"},"content":{"rendered":"\n<p><a href=\"https:\/\/www.yumefx.com\/?p=3771\">\u524d\u4e00\u7bc7<\/a>\u5199\u4e86\u5411\u91cf\u7684\u57fa\u7840\u8fd0\u7b97\u53ca\u5e94\u7528\uff0c\u8fd9\u4e00\u7bc7\u5c31\u8f6e\u5230\u77e9\u9635\u4e86\u3002<\/p>\n<h1>\u00a0<\/h1>\n<h1 style=\"text-align: center;\">\u77e9\u9635<\/h1>\n<p>\u9996\u5148\u6765\u8bf4\u4e00\u4e0b\u77e9\u9635\u7684\u57fa\u7840\u6982\u5ff5\u3002<\/p>\n<p>\u7531m\u00d7n\u4e2a\u6570\u6392\u6210\u7684m\u884cn\u5217\u7684\u6570\u8868\u79f0\u4e3am\u884cn\u5217\u7684\u77e9\u9635\uff0c\u7b80\u79f0m\u00d7n\u77e9\u9635\u3002\u8bb0\u4f5c\uff1a<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-3803 size-medium\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_01-300x168.jpg\" alt=\"\" width=\"300\" height=\"168\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_01-300x168.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_01-768x430.jpg 768w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_01.jpg 806w\" sizes=\"(max-width: 300px) 100vw, 300px\" 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src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_03.jpg\" alt=\"\" width=\"896\" height=\"123\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_03.jpg 896w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_03-300x41.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_03-768x105.jpg 768w\" sizes=\"(max-width: 896px) 100vw, 896px\" \/><\/p>\n<p>\u628a\u77e9\u9635A\u7684\u884c\u548c\u5217\u4e92\u76f8\u4ea4\u6362\u6240\u4ea7\u751f\u7684\u77e9\u9635\u79f0\u4e3aA\u7684\u8f6c\u7f6e\u77e9\u9635\uff0c\u8fd9\u4e00\u8fc7\u7a0b\u79f0\u4e3a\u77e9\u9635\u7684\u8f6c\u7f6e\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3807 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_04.jpg\" alt=\"\" width=\"387\" height=\"145\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_04.jpg 387w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_04-300x112.jpg 300w\" sizes=\"(max-width: 387px) 100vw, 387px\" \/><\/p>\n<p>\u77e9\u9635\u7684\u8f6c\u7f6e\u6ee1\u8db3\u4ee5\u4e0b\u89c4\u5f8b<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3808 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_05.jpg\" alt=\"\" width=\"288\" height=\"73\" \/><\/p>\n<p>\u5f53\u77e9\u9635\u7684\u8f6c\u7f6e\u7b49\u4e8e\u5b83\u81ea\u8eab\uff0c\u5373\u77e9\u9635\u6cbf\u5de6\u4e0a-\u53f3\u4e0b\u5bf9\u89d2\u7ebf\u5bf9\u79f0\u65f6\uff0c\u8be5\u77e9\u9635\u5c31\u88ab\u79f0\u4e3a\u5bf9\u79f0\u77e9\u9635\uff0c\u4f8b\u5982<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3809 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_06.jpg\" alt=\"\" width=\"362\" height=\"180\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_06.jpg 362w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_06-300x149.jpg 300w\" sizes=\"(max-width: 362px) 100vw, 362px\" \/><\/p>\n<p>\u800c\u5f53\u5bf9\u89d2\u7ebf\u5904\u7684\u5143\u7d20\u90fd\u4e3a1\uff0c\u5176\u4ed6\u5143\u7d20\u90fd\u4e3a0\u65f6\uff0c\u8be5\u77e9\u9635\u5219\u88ab\u79f0\u4e3a\u5355\u4f4d\u77e9\u9635\uff0c\u4f8b\u5982<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3816 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_09.jpg\" alt=\"\" width=\"463\" height=\"228\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_09.jpg 463w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_09-300x148.jpg 300w\" sizes=\"(max-width: 463px) 100vw, 463px\" \/><\/p>\n<h3>\u00a0<\/h3>\n<h3>\u77e9\u9635\u7684\u4e58\u6cd5<\/h3>\n<p>\u77e9\u9635\u7684\u4e58\u6cd5\u6bd4\u8f83\u7279\u6b8a\uff0cA\u548cB\u80fd\u8fdb\u884c\u4e58\u6cd5\u7684\u524d\u63d0\u662fA\u7684\u5217\u6570\u7b49\u4e8eB\u7684\u884c\u6570\uff0c\u6700\u540e\u5f97\u5230\u7684\u7ed3\u679c\u77e9\u9635C\u7684\u884c\u6570\u548cA\u77e9\u9635\u76f8\u540c\uff0c\u5217\u6570\u548cB\u77e9\u9635\u76f8\u540c\uff0c\u5373(M x N)(N x P) = (M x P)\u3002<\/p>\n<p>\u5bf9\u4e8e\u76f8\u4e58\u7ed3\u679c\u7b2ci\u884c\u7b2cj\u5217\u7684\u5143\u7d20\uff0c\u8ba1\u7b97\u65b9\u5f0f\u53ca\u793a\u4f8b\u5982\u4e0b<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3810 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_07.jpg\" alt=\"\" width=\"1484\" height=\"292\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_07.jpg 1484w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_07-300x59.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_07-1024x201.jpg 1024w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_07-768x151.jpg 768w\" sizes=\"(max-width: 1484px) 100vw, 1484px\" \/><\/p>\n<p>\u8fd9\u4e2a\u8ba1\u7b97\u65b9\u5f0f\u53ef\u4ee5\u7406\u89e3\u4e3aA\u77e9\u9635\u7684\u7b2ci\u884c\u70b9\u4e58B\u77e9\u9635\u7684\u7b2cj\u5217\u3002<\/p>\n<p>\u663e\u7136\u77e9\u9635\u7684\u4e58\u6cd5\u4e0d\u6ee1\u8db3\u4ea4\u6362\u5f8b\uff0c\u4f46\u6ee1\u8db3\u7ed3\u5408\u5f8b\u548c\u5206\u914d\u7387\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3812 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_08.jpg\" alt=\"\" width=\"440\" height=\"221\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_08.jpg 440w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_08-300x151.jpg 300w\" sizes=\"(max-width: 440px) 100vw, 440px\" \/><\/p>\n<p>\u5f53A\u77e9\u9635\u4e58\u4ee5\u5355\u4f4d\u77e9\u9635\u65f6\uff0c\u7ed3\u679c\u4ecd\u662fA\u77e9\u9635\u672c\u8eab\uff1b\u800c\u5f53A\u77e9\u9635\u4e0eB\u77e9\u9635\u7684\u4e58\u79ef\u662f\u5355\u4f4d\u77e9\u9635\u65f6\uff0c\u5219\u79f0A\u548cB\u4e92\u9006\uff0c\u662f\u5bf9\u65b9\u7684\u9006\u77e9\u9635\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3817 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_10.jpg\" alt=\"\" width=\"440\" height=\"195\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_10.jpg 440w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_10-300x133.jpg 300w\" sizes=\"(max-width: 440px) 100vw, 440px\" \/><\/p>\n<h1>\u00a0<\/h1>\n<h1 style=\"text-align: center;\">\u5411\u91cf\u4e0e\u77e9\u9635\u7684\u5173\u8054<\/h1>\n<p>\u5728<a href=\"https:\/\/www.yumefx.com\/?p=3771\">\u524d\u6587<\/a>\u4e2d\u8bf4\u8fc7\uff0c\u5728\u8ba1\u7b97\u673a\u56fe\u5f62\u5b66\u4e2d\u4e00\u822c\u628a\u5411\u91cf\u5199\u6210\u7eb5\u5411\u7684\u5217\u5411\u91cf\uff0c\u6216\u8005\u8bf4\u662f\u5411\u91cf\u7684\u8f6c\u7f6e\uff0c\u6b64\u65f6\u53ef\u4ee5\u5f53\u505a\u4e00\u4e2an\u884c1\u5217\u7684\u77e9\u9635\uff0c\u8fdb\u884c\u77e9\u9635\u7684\u8fd0\u7b97\u3002<\/p>\n<p>\u4f8b\u5982\u5bf9\u4e00\u4e2a\u70b9\u7684\u4e8c\u7ef4\u5750\u6807\u8fdb\u884c\u6cbfy\u8f74\u7684\u5bf9\u79f0\u53d8\u6362\u64cd\u4f5c\uff0c\u53ea\u9700\u8981\u7528\u4e00\u4e2a\u7279\u5b9a\u7684\u77e9\u9635\u4e58\u4ee5\u8be5\u5750\u6807\u5373\u53ef\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3814 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_15.jpg\" alt=\"\" width=\"558\" height=\"145\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_15.jpg 558w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_15-300x78.jpg 300w\" sizes=\"(max-width: 558px) 100vw, 558px\" \/><\/p>\n<p>\u800c\u5411\u91cf\u7684\u70b9\u4e58\u4e5f\u53ef\u4ee5\u5199\u6210\u4e00\u4e2a1\u884cn\u5217\u7684\u77e9\u9635\u4e0en\u884c1\u5217\u7684\u77e9\u9635\u76f8\u4e58\uff0c\u6700\u7ec8\u7ed3\u679c\u5f53\u7136\u662f\u4e00\u4e2a1\u884c1\u5217\u7684\u5e38\u6570\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3820 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_11.jpg\" alt=\"\" width=\"830\" height=\"210\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_11.jpg 830w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_11-300x76.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_11-768x194.jpg 768w\" sizes=\"(max-width: 830px) 100vw, 830px\" \/><\/p>\n<p>\u5411\u91cf\u7684\u53c9\u4e58\u4e5f\u53ef\u4ee5\u5199\u6210\u77e9\u9635\u76f8\u4e58\u5f62\u5f0f\u5982\u4e0b<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3821 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_12.jpg\" alt=\"\" width=\"670\" height=\"159\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_12.jpg 670w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_12-300x71.jpg 300w\" sizes=\"(max-width: 670px) 100vw, 670px\" \/><\/p>\n<h1>\u00a0<\/h1>\n<h1 style=\"text-align: center;\">\u53d8\u6362\u77e9\u9635<\/h1>\n<p>\u53d8\u6362\u77e9\u9635 (Transformation Marices) \u5728\u56fe\u5f62\u5b66\u4e2d\u7684\u91cd\u8981\u6027\u4e0d\u7528\u591a\u8bf4\uff0c\u4e00\u5207\u7269\u4f53\u7684\u7f29\u653e\uff0c\u65cb\u8f6c\uff0c\u4f4d\u79fb\uff0c\u90fd\u53ef\u4ee5\u901a\u8fc7\u53d8\u6362\u77e9\u9635\u5f97\u5230\u3002\u540c\u65f6\u5728\u6295\u5f71 (projection) \u53d8\u6362\u7684\u65f6\u5019\u4e5f\u6709\u5f88\u591a\u5e94\u7528\uff0c\u4e0b\u9762\u4f1a\u4ecb\u7ecd\u4e00\u4e9b\u7b80\u8981\u7684\u53d8\u6362\u77e9\u9635\u3002<\/p>\n<h3>\u00a0<\/h3>\n<h3><b>2D\u7ebf\u6027\u53d8\u6362<\/b><\/h3>\n<p>\u5c06\u5982\u4e0b\u56fe\u6240\u793a\u7684\u7b80\u5355\u77e9\u9635\u4e58\u6cd5\u5b9a\u4e49\u4e3a\u5bf9\u5411\u91cf(x,y)\u7684\u7ebf\u6027\u53d8\u6362\uff0c\u8fd9\u6837\u53ea\u8981\u627e\u5230\u6bcf\u4e2a\u5750\u6807\u53d8\u6362\u5bf9\u5e94\u7684\u7279\u5b9a\u77e9\u9635\u5f62\u5f0f\uff0c\u5c31\u53ef\u4ee5\u5c06\u5750\u6807\u53d8\u6362\u4e0e\u77e9\u9635\u8ba1\u7b97\u8054\u7cfb\u8d77\u6765\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3823 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_13.jpg\" alt=\"\" width=\"657\" height=\"159\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_13.jpg 657w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_13-300x73.jpg 300w\" sizes=\"(max-width: 657px) 100vw, 657px\" \/><\/p>\n<h5>\u00a0<\/h5>\n<h4><b>\u7f29\u653e(scaling)<\/b><\/h4>\n<p>\u7f29\u653e\u53d8\u6362\u662f\u4e00\u79cd\u6cbf\u7740<b>\u5750\u6807\u8f74\u4f5c\u7528<\/b>\u7684\u53d8\u6362\uff0c\u5b9a\u4e49\u7f29\u653e\u77e9\u9635\u5982\u4e0b:<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3824 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_14.jpg\" alt=\"\" width=\"640\" height=\"195\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_14.jpg 640w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_14-300x91.jpg 300w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><\/p>\n<p>\u4f8b\u5982\uff1a<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3825 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_16.jpg\" alt=\"\" width=\"654\" height=\"612\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_16.jpg 654w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_16-300x281.jpg 300w\" sizes=\"(max-width: 654px) 100vw, 654px\" \/><\/p>\n<h5>\u00a0<\/h5>\n<h4>\u526a\u5207\uff08shearing\uff09<\/h4>\n<p>\u6240\u8c13\u526a\u5207\u5c31\u662f\u628a\u7269\u4f53\u4e00\u8fb9\u56fa\u5b9a\uff0c\u53e6\u4e00\u8fb9\u5411\u4fa7\u65b9\u62c9\u62fd\uff0c\u526a\u5207\u62c9\u4f38\u77e9\u9635\u5b9a\u4e49\u5982\u4e0b<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3838 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_17.jpg\" alt=\"\" width=\"660\" height=\"133\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_17.jpg 660w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_17-300x60.jpg 300w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>\u5206\u522b\u5bf9\u5e94\u4e86x\u8f74\u548cy\u8f74\u7684\u62c9\u4f38<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3839 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_18.jpg\" alt=\"\" width=\"662\" height=\"674\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_18.jpg 662w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_18-295x300.jpg 295w\" sizes=\"(max-width: 662px) 100vw, 662px\" \/><\/p>\n<h5>\u00a0<\/h5>\n<h4>\u65cb\u8f6c\uff08rotation\uff09<\/h4>\n<p>\u6cbf\u539f\u70b9\u65cb\u8f6c\u7684\u53d8\u6362\u77e9\u9635\u8981\u7a0d\u5fae\u590d\u6742\u4e00\u4e0b\uff0c\u5b9a\u4e49\u5982\u4e0b<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3840 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_20.jpg\" alt=\"\" width=\"657\" height=\"189\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_20.jpg 657w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_20-300x86.jpg 300w\" sizes=\"(max-width: 657px) 100vw, 657px\" \/><\/p>\n<p>\u8bc1\u660e\u8fc7\u7a0b\u5f88\u7b80\u5355\uff0c\u65e2\u7136\u8fd9\u4e2a\u65cb\u8f6c\u53d8\u6362\u77e9\u9635\u5bf9\u4e8e\u56fe\u5f62\u4e0a\u7684\u6bcf\u4e2a\u70b9\u90fd\u6210\u7acb\uff0c\u90a3\u4e48\u5c31\u627e\u5230\u51e0\u4e2a\u7279\u6b8a\u7684\u70b9\u5e26\u5165\u516c\u5f0f\uff0c\u6c42\u8fd9\u4e2a2&#215;2\u77e9\u9635\u7684\u5143\u7d20\u503c\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3841 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_21.jpg\" alt=\"\" width=\"680\" height=\"296\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_21.jpg 680w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_21-300x131.jpg 300w\" sizes=\"(max-width: 680px) 100vw, 680px\" \/><\/p>\n<p>\u5047\u5b9a\u6b63\u65b9\u5f62\u8fb9\u957f\u4e3a1\uff0c\u5219\u53f3\u4e0b\u89d2\u53d8\u6362\u524d\u5750\u6807\u4e3a(1, 0)\uff0c\u53d8\u6362\u540e\u5750\u6807\u4e3a(cos\u03b8, sin\u03b8)\uff1b\u800c\u5de6\u4e0a\u89d2\u53d8\u6362\u524d\u5750\u6807\u4e3a(0, 1)\uff0c\u53d8\u6362\u540e\u5750\u6807\u4e3a(-sin\u03b8, cos\u03b8)\u3002<\/p>\n<p>\u7136\u540e\u5c06\u8fd9\u4e24\u4e2a\u70b9\u4ee3\u5165\u53d8\u6362\u77e9\u9635\uff0c\u5373\u53ef\u6c42\u5f97\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3844 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_22.jpg\" alt=\"\" width=\"1134\" height=\"723\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_22.jpg 1134w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_22-300x191.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_22-1024x653.jpg 1024w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_22-768x490.jpg 768w\" sizes=\"(max-width: 1134px) 100vw, 1134px\" \/><\/p>\n<p>\u6ce8\u610f\u6b64\u65f6\u662f\u5c06\u9006\u65f6\u9488\u65cb\u8f6c\u89c6\u4e3a\u6b63\u5411\u89d2\u5ea6\uff0c\u56e0\u6b64\u8be5\u77e9\u9635\u5c31\u662f\u9006\u65f6\u9488\u65cb\u8f6c\u77e9\u9635\u3002<\/p>\n<p>\u90a3\u4e48\u987a\u65f6\u9488\u7684\u65cb\u8f6c\u77e9\u9635\u662f\u4ec0\u4e48\u5462\uff1f\u6839\u636e\u4e09\u89d2\u51fd\u6570\u7684\u89c4\u5f8b\uff0csin-\u03b8 = -sin\u03b8\uff0ccos-\u03b8=cos\u03b8\uff0c\u53ef\u77e5\uff0c\u987a\u65f6\u9488\u65cb\u8f6c\u77e9\u9635\u5982\u4e0b<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3880 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_37.jpg\" alt=\"\" width=\"657\" height=\"189\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_37.jpg 657w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_37-300x86.jpg 300w\" sizes=\"(max-width: 657px) 100vw, 657px\" \/><\/p>\n<p>\u5982\u679c\u4e0e\u9006\u65f6\u9488\u65cb\u8f6c\u77e9\u9635\u5bf9\u6bd4\u4f1a\u53d1\u73b0\uff0c\u4e24\u8005\u4e92\u4e3a\u8f6c\u7f6e\u77e9\u9635\uff0c\u800c\u4e14\u4e92\u4e3a\u9006\u77e9\u9635\uff0c\u8fd9\u79cd\u9006\u77e9\u9635\u7b49\u4e8e\u8f6c\u7f6e\u77e9\u9635\u7684\u60c5\u51b5\u6570\u5b66\u4e0a\u79f0\u4e3a\u6b63\u4ea4\u77e9\u9635\u3002<\/p>\n<p>\u4e0d\u6b622D\uff0c\u6269\u5c55\u5230\u66f4\u9ad8\u7ef4\u5ea6\u7684\u65cb\u8f6c\u77e9\u9635\u4e5f\u6ee1\u8db3\u8fd9\u4e00\u89c4\u5219\u3002<\/p>\n<p>\u56e0\u6b64\u5982\u679c\u9700\u8981\u53cd\u5411\u65cb\u8f6c\uff0c\u53ea\u9700\u8981\u5c06\u65cb\u8f6c\u77e9\u9635\u8f6c\u7f6e\u518d\u8fdb\u884c\u8ba1\u7b97\u5373\u53ef\u3002<\/p>\n<h3>\u00a0<\/h3>\n<h3>\u9f50\u6b21\u5750\u6807\uff08Homogenous Coordinates\uff09<\/h3>\n<p>\u521a\u624d\u8bf4\u4e86\u7f29\u653e\u3001\u526a\u5207\u548c\u65cb\u8f6c\uff0c\u552f\u72ec\u6ca1\u6709\u8bf4\u5230\u5e73\u79fb\u3002<\/p>\n<p>\u4e4d\u4e00\u770b\uff0c\u5e73\u79fb\u5e94\u8be5\u662f\u6700\u7b80\u5355\u7684\u5750\u6807\u53d8\u6362\uff0c\u53ef\u4ee5\u5f88\u8f7b\u6613\u7684\u5199\u6210\u5982\u4e0b\u5f62\u5f0f\uff1a<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3851 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_25.jpg\" alt=\"\" width=\"918\" height=\"546\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_25.jpg 918w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_25-300x178.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_25-768x457.jpg 768w\" sizes=\"(max-width: 918px) 100vw, 918px\" \/><\/p>\n<p>\u4f46\u5982\u679c\u8981\u628a\u5b83\u8f6c\u6362\u6210\u7ebf\u6027\u53d8\u6362\u77e9\u9635\u5219\u6709\u4e9b\u65e0\u4ece\u4e0b\u624b\uff0c\u4e0d\u80fd\u5199\u6210\u548c\u7f29\u653e\u65cb\u8f6c\u7c7b\u4f3c\u7684\u77e9\u9635\u76f8\u4e58\u5f62\u5f0f\u3002\u4e3a\u4e86\u8ba9\u5e73\u79fb\u53d8\u6362\u7684\u5f62\u5f0f\u4e0e\u5176\u4ed6\u53d8\u6362\u5f62\u5f0f\u7edf\u4e00\uff0c\u4e8e\u662f\u5f15\u5165\u4e86\u9f50\u6b21\u5750\u6807\u53d8\u6362\u7684\u6982\u5ff5\u3002<\/p>\n<p>\u6240\u8c13\u9f50\u6b21\u5750\u6807\uff0c\u5c31\u662f\u7ed9\u6570\u636e\u8fdb\u884c\u5347\u7ef4\uff0c<strong>\u4e8c\u7ef4\u70b9\u5750\u6807(x, y)\u63cf\u8ff0\u4e3a(x, y ,1)\uff1b\u4e8c\u7ef4\u5411\u91cf(x, y)\u63cf\u8ff0\u4e3a(x, y ,0)<\/strong>\u3002<\/p>\n<p>\u8fd9\u6837\uff0c\u518d\u56de\u5230\u521a\u624d\u7684\u4f4d\u79fb\u53d8\u6362\u4e2d\uff0c\u5c31\u53ef\u4ee5\u5199\u6210\u4ee5\u4e0b\u5f62\u5f0f\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3852 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_26.jpg\" alt=\"\" width=\"634\" height=\"144\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_26.jpg 634w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_26-300x68.jpg 300w\" sizes=\"(max-width: 634px) 100vw, 634px\" \/><\/p>\n<p>\u4e4b\u6240\u4ee5\u533a\u5206\u70b9\u5750\u6807\u548c\u5411\u91cf\uff0c\u662f\u56e0\u4e3a\u5411\u91cf\u5177\u6709\u5e73\u79fb\u4e0d\u53d8\u6027\uff0c\u53ea\u6709\u65b9\u5411\u548c\u957f\u5ea6\u7684\u533a\u522b\uff0c\u4e0e\u4f4d\u7f6e\u65e0\u5173\u3002\u8fd9\u6837\uff0c\u5411\u91cf\u7ecf\u8fc7\u5e73\u79fb\u53d8\u6362\u540e\u4e0d\u4f1a\u88ab\u6539\u53d8\uff1b\u540c\u65f6\u4e24\u4e2a\u70b9\u7684\u5750\u6807\u76f8\u51cf\u540e\uff0cz\u5750\u6807\u4ece1\u53d8\u4e3a0\uff0c\u7b26\u5408\u5411\u91cf\u7684\u5b9a\u4e49\u3002<\/p>\n<p>\u9f50\u6b21\u5750\u6807\u8fd8\u6709\u4e00\u4e2a\u91cd\u8981\u7684\u6027\u8d28\uff0c\u5c31\u662f\u6570\u4e58\u4e0d\u53d8\u6027\uff0c\u4e5f\u5c31\u662f(x,y,z,1)\u3001(kx,ky,kz,k!=0)\u3001(xz,yz,zz,z!=0)\u4ee3\u8868\u4e86\u4e09\u7ef4\u7a7a\u95f4\u4e2d\u7684\u540c\u4e00\u4e2a\u70b9(x,y,z)\uff0c\u56e0\u6b64(x,y,z,1)+(a,b,c,1) = (x+a,y+b,z+c,2) = ((x+a)\/2,(y+b)\/2,(z+c)\/2,1)\uff0c\u8fd9\u610f\u5473\u7740\u9f50\u6b21\u5750\u6807\u4e0b\u4e24\u4e2a\u70b9\u76f8\u52a0\u7b49\u4e8e\u4e24\u4e2a\u70b9\u7684\u4e2d\u70b9\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3974 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/viewTransform_29.jpg\" alt=\"\" width=\"458\" height=\"400\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/viewTransform_29.jpg 458w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/viewTransform_29-300x262.jpg 300w\" sizes=\"(max-width: 458px) 100vw, 458px\" \/><\/p>\n<p>\u8fd9\u5c31\u6d89\u53ca\u5230\u6295\u5f71\u7a7a\u95f4\u7684\u6982\u5ff5\u4e86\uff0c\u4e4b\u540e\u6709\u673a\u4f1a\u518d\u5355\u72ec\u5f00\u7bc7\u4ecb\u7ecd\u3002<\/p>\n<p>\u8fd9\u6837\u4e00\u6765\uff0c\u5c31\u53ef\u4ee5\u5c06\u4f4d\u79fb\u4e0erotation\uff0cscaling\u7ed3\u5408\u5728\u4e00\u8d77\uff0c\u8fd9\u79cd\u65e2\u6709scale\u3001rotation\u7b49\uff0c\u53c8\u6709translation\u7684\u53d8\u6362\uff0c\u88ab\u79f0\u4e4b\u4e3a\u4eff\u5c04\u53d8\u6362\uff08Affine Transformations\uff09\u3002<\/p>\n<p>\u800c2D\u7ebf\u6027\u53d8\u6362\u7684\u5b9a\u4e49\u4e5f\u5c31\u53d8\u6210\u4e86\u4e0b\u9762\u8fd9\u4e2a\u5f62\u5f0f\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3855 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_27.jpg\" alt=\"\" width=\"441\" height=\"143\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_27.jpg 441w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_27-300x97.jpg 300w\" sizes=\"(max-width: 441px) 100vw, 441px\" \/><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3856 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_28.jpg\" alt=\"\" width=\"780\" height=\"552\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_28.jpg 780w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_28-300x212.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_28-768x544.jpg 768w\" sizes=\"(max-width: 780px) 100vw, 780px\" \/><\/p>\n<p>\u8981\u6ce8\u610f\u7684\u662f\uff0c\u5bf9\u4e8e\u4eff\u5c04\u53d8\u6362\uff0c\u4f1a\u5148\u8fdb\u884c\u7ebf\u6027\u53d8\u6362(\u5373scale\uff0crotation\uff0cshear\u8fd9\u4e9b)\uff0c\u4e4b\u540e\u624d\u4f1a\u8fdb\u884c\u4f4d\u79fb\uff01\u56e0\u4e3a\u524d\u8005\u662f\u57fa\u4e8e\u539f\u70b9\u7684\uff0c\u800c\u4f4d\u79fb\u4f1a\u8ba9\u56fe\u5f62\u79bb\u5f00\u539f\u70b9\u3002<\/p>\n<p>\u800c \u5bf9\u4e8e\u591a\u91cd\u53d8\u6362\u6765\u8bf4\uff0c\u53ef\u4ee5\u5199\u6210\u4ee5\u4e0b\u5f62\u5f0f<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3861 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_29.jpg\" alt=\"\" width=\"641\" height=\"188\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_29.jpg 641w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_29-300x88.jpg 300w\" sizes=\"(max-width: 641px) 100vw, 641px\" \/><\/p>\n<p>\u591a\u4e2a\u53d8\u6362\u77e9\u9635\u4e2d\uff0cA1\u5148\u548c\u5750\u6807\u8fdb\u884c\u8ba1\u7b97\uff0c\u7136\u540eA2\u3001A3\uff0c\u800c\u7531\u4e8e\u77e9\u9635\u4e58\u6cd5\u6ee1\u8db3\u7ed3\u5408\u5f8b\uff0c\u56e0\u6b64\u53ef\u4ee5\u5148\u5c06\u53d8\u6362\u77e9\u9635\u4e4b\u95f4\u8fdb\u884c\u76f8\u4e58\uff0c\u6700\u540e\u518d\u4e58\u4ee5\u70b9\u5750\u6807\u3002\u8fd9\u6837\u518d\u590d\u6742\u7684\u53d8\u6362\u4e5f\u53ef\u4ee5\u6c47\u603b\u6210\u4e00\u4e2a\u53d8\u6362\u77e9\u9635\u6765\u8868\u793a\u3002<\/p>\n<p>\u53cd\u8fc7\u6765\u8bf4\uff0c\u65e2\u7136\u53ef\u4ee5\u7ec4\u5408\uff0c\u81ea\u7136\u4e5f\u53ef\u4ee5\u8fdb\u884c\u5206\u89e3\u3002<\/p>\n<p>\u4f8b\u5982\u6cbf\u67d0\u4e2a\u70b9\u8fdb\u884c\u65cb\u8f6c\uff0c\u53ef\u4ee5\u5148\u5e73\u79fb\u56fe\u5f62\u5230\u8be5\u70b9\u4f4d\u4e8e\u539f\u70b9\uff0c\u518d\u8fdb\u884c\u65cb\u8f6c\uff0c\u6700\u540e\u5c06\u56fe\u5f62\u53cd\u5411\u4f4d\u79fb\u56de\u53bb\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3862 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_30.jpg\" alt=\"\" width=\"961\" height=\"200\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_30.jpg 961w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_30-300x62.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_30-768x160.jpg 768w\" sizes=\"(max-width: 961px) 100vw, 961px\" \/><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3865 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_31.jpg\" alt=\"\" width=\"770\" height=\"58\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_31.jpg 770w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_31-300x23.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_31-768x58.jpg 768w\" sizes=\"(max-width: 770px) 100vw, 770px\" \/><\/p>\n<h3>\u00a0<\/h3>\n<h3><b>3D\u7ebf\u6027\u53d8\u6362<\/b><\/h3>\n<p>\u4ece2D\u53d8\u6362\u77e9\u9635\u63a8\u7b973D\u53d8\u6362\u77e9\u9635\u4e5f\u6bd4\u8f83\u7b80\u5355\u3002<\/p>\n<h5>\u00a0<\/h5>\n<h4><b>3D\u7f29\u653e(scaling)\uff0c3D\u526a\u5207(shearing)<\/b><\/h4>\n<p>\u7f29\u653e\u5f88\u7b80\u5355\uff0c\u4f9d\u7136\u662f\u5bf9\u89d2\u9635\u3002<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-3847 size-full\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_23.jpg\" alt=\"\" width=\"670\" height=\"204\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_23.jpg 670w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_23-300x91.jpg 300w\" sizes=\"(max-width: 670px) 100vw, 670px\" \/><\/p>\n<p>\u526a\u5207\u4e5f\u5f88\u7c7b\u4f3c<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-3848 size-full\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_24.jpg\" alt=\"\" width=\"653\" height=\"214\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_24.jpg 653w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_24-300x98.jpg 300w\" sizes=\"(max-width: 653px) 100vw, 653px\" \/><\/p>\n<h5>\u00a0<\/h5>\n<h4>3D\u65cb\u8f6c\uff08Rotation\uff09<\/h4>\n<p>\u5bf9\u4e8e3D\u7ed5\u539f\u70b9\u65cb\u8f6c\u6765\u8bf4\u4e00\u5171\u67093\u7c7b\u77e9\u9635\uff0c\u5206\u522b\u5bf9\u5e94\u7ed5x\u8f74\uff0cy\u8f74\uff0cz\u8f74\u65cb\u8f6c\uff01<\/p>\n<p>\u7531\u4e8e\u91c7\u7528\u7684\u662f\u53f3\u624b\u7cfb\u7a7a\u95f4\u5750\u6807\uff0c\u6240\u4ee5\u5728\u4e8c\u7ef4\u4e4b\u4e2d\u9006\u65f6\u9488\u65cb\u8f6c\u77e9\u9635\u662fx\u8f74\u5411y\u8f74\u65cb\u8f6c\uff0c\u6839\u636e\u53f3\u624b\u87ba\u65cb\u5b9a\u5219\uff0c\u5bf9\u5e94\u52303\u7ef4\u4fbf\u662f\u7ed5z\u8f74\u65cb\u8f6c(x\u8f74\u8f6c\u5411y\u8f74)\uff0c\u4e0d\u96be\u63a8\u51fa\u7ed5x\u8f74\u65cb\u8f6c(y\u8f6c\u5411z)\uff0c\u7ed5y\u8f74\u65cb\u8f6c(z\u8f6c\u5411x)\u3002<\/p>\n<p>\u5bf9\u5e94\u4e8c\u7ef4\u65cb\u8f6c\u77e9\u9635\u80fd\u591f\u7c7b\u63a8\u5f97\u5230\u4e09\u7ef4\u65cb\u8f6c\u77e9\u9635\u5982\u4e0b\uff1a<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3870 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_32.jpg\" alt=\"\" width=\"1237\" height=\"351\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_32.jpg 1237w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_32-300x85.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_32-1024x291.jpg 1024w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_32-768x218.jpg 768w\" sizes=\"(max-width: 1237px) 100vw, 1237px\" \/><\/p>\n<p>\u7ed5z\u8f74\uff0c\u6545z\u4e0d\u53d8\uff0c\u4e14x\u8f6c\u5411y\uff0c\u5de6\u4e0a\u89d2\u4e0e\u4e8c\u7ef4\u9006\u65f6\u9488\u65cb\u8f6c\u77e9\u9635\u76f8\u540c\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3871 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_33.jpg\" alt=\"\" width=\"1231\" height=\"366\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_33.jpg 1231w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_33-300x89.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_33-1024x304.jpg 1024w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_33-768x228.jpg 768w\" sizes=\"(max-width: 1231px) 100vw, 1231px\" \/><\/p>\n<p data-pid=\"ZgExEjhZ\">\u7ed5x\u8f74\uff0c\u6545x\u4e0d\u53d8\uff0c\u4e14y\u8f6c\u5411z\uff0c\u53f3\u4e0b\u89d2\u4e0e\u4e8c\u7ef4\u9006\u65f6\u9488\u65cb\u8f6c\u77e9\u9635\u76f8\u540c\u3002<\/p>\n<p data-pid=\"l0PzyEhe\">\u7ed5y\u8f74\u4f1a\u6709\u4e00\u70b9\u4e0d\u540c\uff0c\u6839\u636e\u53f3\u624b\u87ba\u65cb\u5b9a\u5219\uff0c\u7ed5y\u8f74\u65cb\u8f6c\u662f\u4ecez\u8f74\u5411x\u8f74\u65b9\u5411\u65cb\u8f6c\uff0c\u53ea\u8981\u8bb0\u4f4f\u53f3\u624b\u5750\u6807\u7cfb\u65f6\uff0cy\u8f74=z\u53c9\u4e58x=-x\u53c9\u4e58z\uff0c\u5f88\u5feb\u5c31\u80fd\u53cd\u5e94\u8fc7\u6765\u3002<\/p>\n<p data-pid=\"l0PzyEhe\"><img loading=\"lazy\" class=\"size-full wp-image-3872 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_34.jpg\" alt=\"\" width=\"1225\" height=\"322\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_34.jpg 1225w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_34-300x79.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_34-1024x269.jpg 1024w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_34-768x202.jpg 768w\" sizes=\"(max-width: 1225px) 100vw, 1225px\" \/><\/p>\n<h4>\u00a0<\/h4>\n<h4>\u7ed5\u4efb\u610f\u8f74\u65cb\u8f6c<\/h4>\n<p>\u4e0e2D\u7ed5\u70b9\u65cb\u8f6c\u7c7b\u4f3c\uff0c\u5148\u628a\u8be5\u8f74\u65cb\u8f6c\u5230x\u6216\u8005y\u6216\u8005z\u8f74\u4e0a\uff0c\u63a5\u7740\u5c31\u53ef\u4ee5\u5e94\u7528\u4e0a\u9762\u7684\u6807\u51c6\u65cb\u8f6c\u77e9\u9635\uff0c\u6700\u540e\u518d\u628a\u8be5\u8f74\u9006\u65cb\u8f6c\u56de\u5b83\u539f\u5148\u7684\u5730\u65b9\u5c31\u5b8c\u6210\u4e86\u3002\u7528\u77e9\u9635\u8868\u793a\u5982\u4e0b\uff1a<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3875 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_35.jpg\" alt=\"\" width=\"402\" height=\"104\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_35.jpg 402w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_35-300x78.jpg 300w\" sizes=\"(max-width: 402px) 100vw, 402px\" \/><\/p>\n<p>\u8fd9\u91cc\u7684Rx\u662f\u77e5\u9053\u7684\uff0c\u4e5f\u5c31\u662f3\u7ef4\u4e0b\u7ed5x\u8f74\u65cb\u8f6c\u7684\u77e9\u9635\uff0c\u90a3\u4e48\u6839\u636e\u4e4b\u524d\u7684\u5206\u6790\u95ee\u9898\u53ea\u5269\u600e\u4e48\u6c42R1\u4e86\uff0c\u8bbe\u6211\u4eec\u60f3\u56f4\u7ed5\u65cb\u8f6c\u7684\u8f74\u4e3au\uff0cR1\u4fbf\u662f\u5c06u\u65cb\u8f6c\u5230x\u7684\u77e9\u9635\u3002 \u5177\u4f53\u6765\u8bf4\u8fd9\u91cc\u9700\u8981\u4ee5u\u4e3a\u4e00\u8f74\uff0c\u6784\u9020\u4e00\u4e2a3\u7ef4\u6b63\u4ea4\u5750\u6807\u7cfb\uff0c\u7136\u540e\u5c06u\u548cx\u5bf9\u9f50\uff0c\u90a3\u4e48\u5176\u5b83\u4e24\u8f74\u5c31\u80af\u5b9a\u548cy\u548cz\u5bf9\u9f50\u4e86\u3002<\/p>\n<p>\u6784\u9020\u5982\u4e0b\uff0c\u4efb\u53d6\u4e00t\u65b9\u5411\u4e0d\u4e0eu\u91cd\u5408\u3002<\/p>\n<p data-pid=\"XWLU6RuN\">w = t x u<\/p>\n<p data-pid=\"QutBl5SG\">v = u x w<\/p>\n<p data-pid=\"398U8n_o\">\u6b64\u65f6u, w, v\u4fbf\u662f\u6211\u4eec\u6784\u9020\u51fa\u7684\u65b0\u5750\u6807\u7cfb(\u8fd9\u91cc\u8fd0\u7528\u4e86\u4e00\u4e9b\u53c9\u4e58\u7684\u51e0\u4f55\u6027\u8d28)\u3002<\/p>\n<p data-pid=\"wpQCOLhd\">\u73b0\u5728\u5f97\u5230\u4e86u,w,v \u5bf9\u5e94 x,y,z\uff0c\u5982\u4f55\u5c06\u8fd9\u4e2a\u65b0\u5750\u6807\u7cfb\u4e0e\u539f\u59cb\u5750\u6807\u7cfb\u91cd\u5408\u5462\uff1f<\/p>\n<p data-pid=\"wpQCOLhd\">\u8fd9\u5176\u5b9e\u5f88\u7b80\u5355\uff0c\u76f4\u63a5\u53d6R1 = (u,w,v), \u8be5\u65cb\u8f6c\u77e9\u9635\u7684\u542b\u4e49\u4fbf\u662f\u5c06x, y, z\u65cb\u8f6c\u5230u\uff0cw\uff0cv\u7684\u65cb\u8f6c\u77e9\u9635(\u76f4\u63a5\u8ba1\u7b97R1 * x\uff0cR1 * <i>y\uff0cR1 *\u00a0<\/i>z\u8bd5\u8bd5\u4fbf\u4e00\u76ee\u4e86\u7136)\u3002<\/p>\n<p data-pid=\"H-iQjULs\">\u4e0a\u4e00\u8282\u603b\u7ed3\u5230\uff0c\u65cb\u8f6c\u77e9\u9635\u662f\u6b63\u4ea4\u77e9\u9635\uff0c\u65cb\u8f6c\u77e9\u9635\u7684\u8f6c\u7f6e\u4fbf\u662f\u5b83\u7684\u9006\uff0c\u4e5f\u662f\u51e0\u4f55\u610f\u4e49\u4e0a\u7684\u53cd\u65b9\u5411\u65cb\u8f6c\uff0c\u56e0\u6b64R1T\u4fbf\u662f\u5c06u,w,v\u65cb\u8f6c\u5230x,y,z\u7684\u77e9\u9635\u4e86\u3002<\/p>\n<p data-pid=\"H-iQjULs\">\u73b0\u5728\u56f4\u7ed5\u4efb\u610f\u8f74\u7684\u65cb\u8f6c\u77e9\u9635\u4e5f\u5c31\u5f97\u5230\u4e86\u3002<\/p>\n<p data-pid=\"H-iQjULs\"><img loading=\"lazy\" class=\"size-full wp-image-3878 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_36.jpg\" alt=\"\" width=\"965\" height=\"167\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_36.jpg 965w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_36-300x52.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_36-768x133.jpg 768w\" sizes=\"(max-width: 965px) 100vw, 965px\" \/><\/p>\n<h4>\u00a0<\/h4>\n<h4>3D\u9f50\u6b21\u5750\u6807<\/h4>\n<p>3D\u7684\u9f50\u6b21\u5750\u6807\u4e0e2D\u4e00\u81f4\uff0c\u8fd9\u91cc\u4e0d\u518d\u8fdb\u884c\u8bf4\u660e\uff0c\u53ea\u7ed9\u51fa3D\u7ebf\u6027\u53d8\u6362\u7684\u9f50\u6b21\u5750\u6807\u5b9a\u4e49\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3873 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_40.jpg\" alt=\"\" width=\"504\" height=\"189\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_40.jpg 504w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/Matrix_40-300x113.jpg 300w\" sizes=\"(max-width: 504px) 100vw, 504px\" \/><\/p>\n<p>\u00a0<\/p>\n<p>\u672c\u6587\u53c2\u8003\u81ea\u95eb\u4ee4\u742a\u8001\u5e08\u7684\u300a<a href=\"https:\/\/www.bilibili.com\/video\/BV1X7411F744?p=3\"><span class=\"tit\">GAMES101-\u73b0\u4ee3\u8ba1\u7b97\u673a\u56fe\u5f62\u5b66\u5165\u95e8<\/span><\/a>\u300b\u4ee5\u53ca\u5b59\u5c0f\u78ca\u7684<a class=\"ColumnLink ColumnPageHeader-TitleColumn\" href=\"https:\/\/www.zhihu.com\/column\/c_1249465121615204352\">\u8ba1\u7b97\u673a\u56fe\u5f62\u5b66\u7cfb\u5217\u7b14\u8bb0<\/a>\uff0c\u611f\u8c22\u3002<\/p>\n<p>\u00a0<\/p>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p>\u4f7f\u5375\u77f3\u81fb\u4e8e\u5b8c\u7f8e\u7684\uff0c<br \/>\u5e76\u975e\u9524\u7684\u6253\u51fb\uff0c<br \/>\u800c\u662f\u6c34\u7684\u4e14\u6b4c\u4e14\u821e\u3002<\/p>\n<p style=\"text-align: right;\">\u300a\u98de\u9e1f\u96c6\u300b<br \/>\u2014\u2014\u6cf0\u6208\u5c14<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u524d\u4e00\u7bc7\u5199\u4e86\u5411\u91cf\u7684\u57fa\u7840\u8fd0\u7b97\u53ca\u5e94\u7528\uff0c\u8fd9\u4e00\u7bc7\u5c31\u8f6e\u5230\u77e9\u9635\u4e86\u3002 \u00a0 \u77e9\u9635 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[&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":3974,"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\/3802"}],"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=3802"}],"version-history":[{"count":0,"href":"https:\/\/www.yumefx.com\/index.php?rest_route=\/wp\/v2\/posts\/3802\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.yumefx.com\/index.php?rest_route=\/wp\/v2\/media\/3974"}],"wp:attachment":[{"href":"https:\/\/www.yumefx.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3802"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.yumefx.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3802"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.yumefx.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3802"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}