{"id":3976,"date":"2021-12-15T22:35:00","date_gmt":"2021-12-15T14:35:00","guid":{"rendered":"https:\/\/www.yumefx.com\/?p=3976"},"modified":"2022-02-09T13:43:06","modified_gmt":"2022-02-09T05:43:06","slug":"%e7%9b%b4%e7%ba%bf%e5%92%8c%e4%b8%89%e8%a7%92%e5%bd%a2%e7%9a%84%e5%85%89%e6%a0%85%e5%8c%96%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.yumefx.com\/?p=3976","title":{"rendered":"\u76f4\u7ebf\u548c\u4e09\u89d2\u5f62\u7684\u5149\u6805\u5316\u7b97\u6cd5"},"content":{"rendered":"\n<h1 style=\"text-align: center;\">\u524d\u8a00<\/h1>\n<p><a href=\"https:\/\/www.yumefx.com\/?p=3889\">\u524d\u6587<\/a>\u66f4\u65b0\u4e86\u6e32\u67d3\u7ba1\u7ebf\u4e2dMVP\u53d8\u6362\u77e9\u9635\u4ee5\u53ca\u89c6\u53e3\u53d8\u6362\u7684\u7b97\u6cd5\uff0c\u4eca\u5929\u7684\u5185\u5bb9\u5c31\u662f\u5149\u6805\u5316\u9636\u6bb5\u7684\u7b97\u6cd5\u4e86\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3731 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/11\/RenderingPipeline_11.jpg\" alt=\"\" width=\"1376\" height=\"580\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/11\/RenderingPipeline_11.jpg 1376w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/11\/RenderingPipeline_11-300x126.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/11\/RenderingPipeline_11-1024x432.jpg 1024w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/11\/RenderingPipeline_11-768x324.jpg 768w\" sizes=\"(max-width: 1376px) 100vw, 1376px\" \/><\/p>\n<h1>\u00a0<\/h1>\n<h1 style=\"text-align: center;\">\u5149\u6805\u5316<\/h1>\n<p>\u5728\u8fdb\u5165\u5177\u4f53\u7684\u5149\u6805\u5316\u7b97\u6cd5\u4e4b\u524d\uff0c\u9996\u5148\u9700\u8981\u77e5\u9053\u5149\u6805\u5316\u662f\u4e00\u4e2a\u4ec0\u4e48\u6837\u7684\u8fc7\u7a0b\u3002<\/p>\n<p>\u7b80\u5355\u6765\u8bf4\u5149\u6805\u5316\u7684\u76ee\u7684\u5c31\u662f\u5c06\u60f3\u8981\u5c55\u73b0\u7684\u7269\u4f53\u7ed9\u771f\u6b63\u663e\u793a\u5230\u5c4f\u5e55\u4e0a\u7684\u8fc7\u7a0b\uff0c\u56e0\u4e3a\u6211\u4eec\u7684\u7269\u4f53\u5176\u5b9e\u90fd\u662f\u7528\u4e00\u4e2a\u4e2a\u9876\u70b9\u6570\u636e\u6765\u8868\u793a\u7684\uff0c\u5982\u4f55\u5c06\u8fd9\u4e9b\u8574\u542b\u51e0\u4f55\u4fe1\u606f\u7684\u6570\u636e\u8f6c\u5316\u4e3a\u5c4f\u5e55\u4e0a\u7684\u50cf\u7d20\u5c31\u662f\u5149\u6805\u5316\u6240\u8003\u8651\u7684\u4e1c\u897f\u3002<\/p>\n<p>\u6bd4\u5982\u8bf4\u4e00\u6761\u76f4\u7ebf\uff0c\u7a76\u7adf\u8be5\u7528\u54ea\u4e9b\u50cf\u7d20\u70b9\u53bb\u903c\u8fd1\u5b83\uff0c\u4e00\u4e2a\u4e09\u89d2\u5f62\uff0c\u53c8\u7528\u54ea\u4e9b\u50cf\u7d20\u96c6\u5408\u8868\u793a\u5b83\uff0c\u8fd9\u90fd\u662f\u5149\u6805\u5316\u7684\u8fc7\u7a0b\u3002<\/p>\n<p>\u672c\u8282\u4e3b\u8981\u4ecb\u7ecd\u4e24\u4e2a\u76f4\u7ebf\u5149\u6805\u5316\u548c\u4e00\u4e2a\u4e09\u89d2\u5f62\u5149\u6805\u5316\u7b97\u6cd5\u3002<\/p>\n<h3>\u00a0<\/h3>\n<h3><b>\u5c4f\u5e55\u50cf\u7d20\u7684\u8868\u793a<\/b><\/h3>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3979 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_01.png\" alt=\"\" width=\"482\" height=\"350\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_01.png 482w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_01-300x218.png 300w\" sizes=\"(max-width: 482px) 100vw, 482px\" \/><\/p>\n<p>\u5c4f\u5e55\u4e2d\u7684\u6bcf\u4e00\u4e2a\u50cf\u7d20\u70b9\u90fd\u7528\u8d77\u59cb\u4e3a0\u7684\u6574\u6570\u5750\u6807\u8fdb\u884c\u8868\u793a\uff0c\u6700\u5927\u503c\u4e3a\u5206\u8fa8\u7387-1\uff0c\u8003\u8651\u5230\u6bcf\u4e2a\u50cf\u7d20\u90fd\u6709\u4e00\u5b9a\u7684\u9762\u79ef\uff0c\u56e0\u6b64\u5b9a\u4e49(x+0.5,y+0.5)\u4e3a\u8be5(x,y)\u50cf\u7d20\u7684\u4e2d\u5fc3\uff0c\u5c4f\u5e55\u7a7a\u95f4\u7684\u8303\u56f4\u5219\u662f[0~Width,0~Height]\uff0c\u5982\u56fe\u4e2d\u9ed1\u70b9\u6240\u793a\u3002<\/p>\n<p>\u81f3\u4e8e\u5982\u4f55\u4eceMVP\u53d8\u6362\u77e9\u9635\u540e\u7684[-1, 1]\u7684\u7acb\u65b9\u4f53\u533a\u57df\u6295\u5c04\u5230\u6574\u4e2a\u5c4f\u5e55\u7684\u8303\u56f4\uff0c\u53ef\u4ee5\u67e5\u770b<a href=\"https:\/\/www.yumefx.com\/?p=3889\">\u524d\u6587<\/a>\u4e2d\u7684\u89c6\u53e3\u53d8\u6362\u90e8\u5206\u3002<\/p>\n<h3>\u00a0<\/h3>\n<h1 style=\"text-align: center;\"><b>\u76f4\u7ebf\u5149\u6805\u5316\u7b97\u6cd5\u4e4b<\/b><b>DDA\u6570\u503c\u5fae\u5206\u7b97\u6cd5<\/b><\/h1>\n<p>DDA\u7b97\u6cd5\u662f\u4e00\u4e2a\u975e\u5e38\u7b80\u5355\u76f4\u89c2\u7684\u7b97\u6cd5\u3002 \u9996\u5148\u6570\u5b66\u4e0a\u5f53\u4efb\u4f55\u4e00\u6761\u76f4\u7ebf\u77e5\u9053\u90fd\u53ef\u4ee5\u7528y = kx + b\u6765\u8868\u793a\uff0c\u5176\u4e2dk\u4ee3\u8868\u659c\u7387\u3002<\/p>\n<p>\u5982\u679c|k| &lt; 1\uff0c\u90a3\u4e48\u5b83\u7684\u4e3b\u8981\u884c\u8fdb\u65b9\u5411\u5c31\u662fx\u8f74\uff0c\u5373x\u8f74\u7684\u53d8\u5316\u8981\u6bd4y\u8f74\u5feb\uff0c\u76f8\u53cd\u5982\u679c\u5982\u679c|k| &gt; 1\uff0c\u90a3\u4e48\u5b83\u7684\u4e3b\u8981\u884c\u8fdb\u65b9\u5411\u5c31\u662fy\u8f74\uff0c\u5373y\u8f74\u7684\u53d8\u5316\u8981\u6bd4x\u8f74\u5feb\u3002\u5982\u4e0b\u56fe\u6240\u793a\uff1a<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3980 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_02.jpg\" alt=\"\" width=\"882\" height=\"393\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_02.jpg 882w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_02-300x134.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_02-768x342.jpg 768w\" sizes=\"(max-width: 882px) 100vw, 882px\" \/><\/p>\n<p>\u5206\u522b\u5c31\u56fe\u4e0a\u4e24\u79cd\u60c5\u51b5\u8fdb\u884c\u8003\u8651(\u5047\u8bbe\u8d77\u70b9\u4e0e\u7ec8\u70b9\u7ed9\u5b9a\uff0c\u786e\u5b9a\u4e86\u76f4\u7ebf\u65b9\u7a0b\uff0c\u5c31\u50cf\u56fe\u4e2d\u4e00\u6837)<\/p>\n<p>1 \u5f53|k| &lt; 1\u65f6\uff0c\u4ece\u8d77\u70b9\u5f00\u59cb\u753b\u8d77\u6bcf\u6b21x = x+1\uff0c y = y+k, \u5e76\u5c06y\u56db\u820d\u4e94\u5165\uff0c\u5f97\u5230\u65b0\u7684x\uff0cy\u5c31\u662f\u50cf\u7d20\u70b9\u5e94\u8be5\u753b\u7684\u5730\u65b9<\/p>\n<p>2 \u5f53|k| &gt; 1\u65f6\uff0c\u4ece\u8d77\u70b9\u5f00\u59cb\u753b\u8d77\u6bcf\u6b21y = y+1\uff0c x = x+1\/k, \u5e76\u5c06x\u56db\u820d\u4e94\u5165\uff0c\u5f97\u5230\u65b0\u7684x\uff0cy\u5c31\u662f\u50cf\u7d20\u70b9\u5e94\u8be5\u753b\u7684\u5730\u65b9<\/p>\n<h3>\u00a0<\/h3>\n<h1 style=\"text-align: center;\"><b>\u76f4\u7ebf\u5149\u6805\u5316\u7b97\u6cd5\u4e4b<\/b><b>\u4e2d\u70b9Bresenham\u7b97\u6cd5<\/b><\/h1>\n<p>\u9996\u5148\u89c4\u5b9a\u9700\u8981\u5149\u6805\u5316\u7684\u7ebf\u6bb5\u7684\u8d77\u70b9P0(x0,y0)\u4e0e\u7ec8\u70b9P1(x1,y1),\u5219\u8be5\u76f4\u7ebf\u65b9\u7a0b\u53ef\u4ee5\u7528y = kx + b\u7684\u5f62\u5f0f\u6765\u8868\u793a\uff0c\u5b9a\u4e49(x,y) = y &#8211; kx &#8211; b, \u63a5\u4e0b\u6765\u4e00\u8d77\u770b\u770bbresenham\u7b97\u6cd5\u7684\u5177\u4f53\u8fc7\u7a0b\u3002<\/p>\n<p>\u4e2d\u70b9Bresenham\u7b97\u6cd5\u7684\u601d\u60f3\u5176\u5b9e\u4e5f\u6bd4\u8f83\u7b80\u5355\uff0c\u5728\u8fd9\u91cc\u53ea\u7ed9\u51fa0 &lt; k &lt; 1 \u7684\u60c5\u51b5\uff0c\u5176\u5b83\u60c5\u51b5\u53ef\u4ee5\u7c7b\u63a8\uff0c\u9664\u5374\u8d77\u70b9\u4e0e\u7ec8\u70b9\uff0c\u6bcf\u6b21\u7684\u753b\u70b9\u53ea\u4f1a\u8003\u8651\u53f3\u8fb9\u6216\u8005\u53f3\u4e0a\u7684\u70b9\u4e24\u79cd\u60c5\u51b5(\u7531\u659c\u7387\u6240\u51b3\u5b9a\u7684)\uff0c\u56e0\u6b64\u53ea\u9700\u8981\u5728\u8fd9\u4e8c\u8005\u4e4b\u95f4\u505a\u51fa\u9009\u62e9\u3002<br \/>\u90a3\u4e48\u8be5\u4f9d\u636e\u4ec0\u4e48\u8fdb\u884c\u5224\u65ad\u5462\uff0c\u7ed9\u51fa\u5982\u4e0b\u4e24\u79cd\u60c5\u51b5\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3981 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_03.png\" alt=\"\" width=\"354\" height=\"291\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_03.png 354w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_03-300x247.png 300w\" sizes=\"(max-width: 354px) 100vw, 354px\" \/><\/p>\n<p>\u6211\u4eec\u5df2\u7ecf\u6210\u529f\u753b\u51fa\u4e86\u524d\u4e09\u4e2a\u84dd\u8272\u65b9\u683c\u4e4b\u540e\uff0c\u6240\u8981\u8003\u8651\u7684\u4fbf\u662f\u7b2c\u4e09\u4e2a\u84dd\u8272\u65b9\u683c\u53f3\u8fb9\u6216\u8005\u53f3\u4e0a\u7684\u6a59\u8272\u65b9\u683c\uff0c\u6b64\u65f6\u6211\u4eec\u53d6\u8fd9\u4e24\u4e2a\u6a59\u8272\u65b9\u683c\u7684\u4e2d\u70b9\uff0c\u5982\u56fe\u4e2d\u5706\u5708\u7b26\u53f7\u6240\u5bf9\u5e94\u7684\u90a3\u4e2a\u70b9\uff0c\u5018\u82e5\u8fd9\u4e2a\u70b9\u5728\u76f4\u7ebf\u65b9\u7a0b\u7684\u4e0b\u9762\uff0c\u90a3\u4e48\u5f88\u660e\u663e\u6211\u4eec\u5e94\u8be5\u9009\u62e9\u53f3\u4e0a\u7684\u65b9\u683c\u3002<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3982 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_04.png\" alt=\"\" width=\"341\" height=\"283\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_04.png 341w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_04-300x249.png 300w\" sizes=\"(max-width: 341px) 100vw, 341px\" \/><\/p>\n<p>\u6b64\u65f6\u4e2d\u70b9\u4f4d\u4e8e\u76f4\u7ebf\u65b9\u7a0b\u7684\u4e0a\u65b9\uff0c\u6b64\u65f6\u9009\u62e9\u53f3\u8fb9\u7684\u6a59\u8272\u65b9\u683c\u3002<\/p>\n<p>\u81f3\u6b64\uff0c\u5982\u4f55\u5224\u65ad\u4e24\u79cd\u65b9\u683c\u9009\u62e9\u7684\u6761\u4ef6\u5df2\u5f88\u660e\u663e\uff0c\u5c31\u662f\u786e\u5b9a\u4e2d\u70b9\u4e0e\u76f4\u7ebf\u7684\u4f4d\u7f6e\u5173\u7cfb\uff0c\u8fd9\u91cc\u5c31\u53ef\u4ee5\u4f7f\u7528\u5230\u4e00\u5f00\u59cb\u5b9a\u4e49\u7684(x,y) = y &#8211; kx &#8211; b\u7684\u65b9\u7a0b\u4e86\u3002<\/p>\n<p>\u663e\u7136\uff0c\u5f53f(x+1,y+0.5) &gt; 0\u7684\u65f6\u5019\u4e2d\u70b9\u5728\u76f4\u7ebf\u4e0a\u65b9\uff0c\u5f53f(x+1,y+0.5) &lt; 0\u7684\u65f6\u5019\u4e2d\u70b9\u5728\u76f4\u7ebf\u4e0b\u65b9 \uff08\u5176\u4e2dx+1\uff0cy+0.5\u662f\u4e3a\u4e86\u8868\u793a\u4e24\u4e2a\u6a59\u8272\u65b9\u683c\u7684\u4e2d\u70b9\uff0c\u6b64\u65f6x\uff0cy\u4e3a\u524d\u4e00\u4e2a\u786e\u5b9a\u7684\u50cf\u7d20\u5750\u6807\uff09<\/p>\n<p>\u4f2a\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3983 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_05.jpg\" alt=\"\" width=\"784\" height=\"439\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_05.jpg 784w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_05-300x168.jpg 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_05-768x430.jpg 768w\" sizes=\"(max-width: 784px) 100vw, 784px\" \/><\/p>\n<p>\u5176\u4e2d\u7684\uff0csome condition\u4e5f\u5c31\u5f88\u660e\u663e\u7684\u662f<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3984 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_06.png\" alt=\"\" width=\"414\" height=\"84\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_06.png 414w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_06-300x61.png 300w\" sizes=\"(max-width: 414px) 100vw, 414px\" 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https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_07-300x23.png 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_07-768x59.png 768w\" sizes=\"(max-width: 836px) 100vw, 836px\" \/><\/p>\n<p>\u89c2\u5bdf\u53ef\u4ee5\u5f97\u51fa<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-3986 aligncenter\" src=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_08.png\" alt=\"\" width=\"852\" height=\"121\" srcset=\"https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_08.png 852w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_08-300x43.png 300w, https:\/\/www.yumefx.com\/wp-content\/uploads\/2021\/12\/TrianglesRasterization_08-768x109.png 768w\" sizes=\"(max-width: 852px) 100vw, 852px\" \/><\/p>\n<p>\u90a3\u4e48\u7b97\u6cd5\u53ea\u9700\u8981\u7b97\u51fa\u7b2c\u4e00\u6b21\u7684 f(x+1,y+0.5) 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