{"id":466,"date":"2026-07-03T12:04:02","date_gmt":"2026-07-03T04:04:02","guid":{"rendered":"http:\/\/www.millscience.cn\/?p=466"},"modified":"2026-07-03T12:05:22","modified_gmt":"2026-07-03T04:05:22","slug":"466","status":"publish","type":"post","link":"https:\/\/www.millscience.cn\/index.php\/466\/","title":{"rendered":"11111"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\">\u4e03\u4e03\u516b\u516b<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u4e00\u3001 \u56fe\u50cf\u57fa\u672c\u6982\u5ff5\u4e0e\u5b58\u50a8<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u57fa\u672c\u6982\u5ff5<\/strong>\uff1a\u56fe\u50cf\u662f\u5ba2\u89c2\u5b58\u5728\uff08\u201c\u56fe\u201d\uff09\u4e0e\u4e3b\u89c2\u611f\u89c9\uff08\u201c\u50cf\u201d\uff09\u7684\u7ed3\u5408\u3002\u6570\u5b57\u56fe\u50cf\u662f\u7531\u50cf\u7d20\u7ec4\u6210\u7684\u4e8c\u7ef4\u77e9\u9635\uff0c\u6bcf\u4e2a\u50cf\u7d20\u5305\u542b\u4f4d\u7f6e\u548c\u7070\u5ea6\u4e24\u4e2a\u5c5e\u6027\u3002<\/li>\n\n\n\n<li><strong>\u56fe\u50cf\u5206\u8fa8\u7387<\/strong>\uff1a\u7070\u5ea6\u5206\u8fa8\u7387\u662f\u8861\u91cf\u56fe\u50cf\u4e2d\u53ef\u5206\u8fa8\u6700\u5c0f\u7070\u5ea6\u5dee\u5f02\u7684\u80fd\u529b\u3002\u7a7a\u95f4\u5206\u8fa8\u7387\u548c\u7070\u5ea6\u5206\u8fa8\u7387\u76f8\u4e92\u72ec\u7acb\uff0c\u5171\u540c\u5f71\u54cd\u56fe\u50cf\u7684\u6e05\u6670\u5ea6\u548c\u7ec6\u8282\u8868\u73b0\u3002<\/li>\n\n\n\n<li><strong>\u8272\u5f69\u6a21\u578b<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><strong>RGB\u6a21\u578b<\/strong>\uff1a\u57fa\u4e8e\u7ea2\uff08R\uff09\u3001\u7eff\uff08G\uff09\u3001\u84dd\uff08B\uff09\u4e09\u539f\u8272\u6784\u6210\u7684\u56fe\u50cf\u3002<\/li>\n\n\n\n<li><strong>HSI\u6a21\u578b<\/strong>\uff1a\u5305\u542b\u8272\u8c03\uff08H\uff09\u3001\u9971\u548c\u5ea6\uff08S\uff09\u548c\u4eae\u5ea6\uff08I\uff09\u3002\u4eae\u5ea6\u4e0e\u5f69\u8272\u4fe1\u606f\u4e0d\u76f8\u5173\uff0c\u8be5\u6a21\u578b\u4e0e\u4eba\u7c7b\u89c6\u89c9\u5bf9\u989c\u8272\u7684\u611f\u77e5\u9ad8\u5ea6\u8d34\u5408\u3002<\/li>\n\n\n\n<li><strong>HSV\u6a21\u578b<\/strong>\uff1a\u7531\u8272\u8c03\uff08H\uff09\u3001\u9971\u548c\u5ea6\uff08S\uff09\u548c\u660e\u6697\u5ea6\uff08V\uff09\u7ec4\u6210\uff0cV\u8868\u793a\u4eba\u773c\u5bf9\u7269\u4f53\u8868\u9762\u4e0e\u5149\u6e90\u660e\u6697\u5927\u5c0f\u7684\u89c6\u89c9\u611f\u53d7\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u6570\u5b57\u56fe\u50cf<\/strong>\u662f\u6307\u7531\u88ab\u79f0\u4f5c\u50cf\u7d20\u7684\u5c0f\u5757\u533a\u57df\u7ec4\u6210\u7684\u4e8c\u7ef4\u77e9\u9635\u3002\u5c06\u7269\u7406\u56fe\u50cf\u884c\u5217\u5212\u5206\u540e\uff0c\u6bcf\u4e2a\u5c0f\u5757\u533a\u57df\u79f0\u4e3a<strong>\u50cf\u7d20<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u50cf\u7d20\u7684\u4e24\u4e2a\u8981\u7d20\uff1a\u7070\u5ea6\u548c\u4f4d\u7f6e<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7070\u5ea6\u662f\u6307\u9ed1\u767d\u56fe\u50cf\u4e2d\u70b9\u7684\u989c\u8272\u6df1\u5ea6\uff0c\u8303\u56f4\u4e00\u822c\u4ece0\u5230255\uff0c\u5373\u53ef\u7528\u4e00\u4e2a\u5b57\u8282\u6765\u8868\u793a\uff0c\u767d\u8272\u4e3a<strong>255<\/strong> <strong>\uff0c\u9ed1\u8272\u4e3a0\uff0c\u6545\u9ed1\u767d\u56fe\u7247\u4e5f\u79f0\u7070\u5ea6\u56fe\u50cf<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u9ed1\u767d\u56fe\u50cf\uff08\u4e8c\u503c\u56fe\u50cf\uff09<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u3000 \u3000 \u662f\u6307\u56fe\u50cf\u7684\u6bcf\u4e2a\u50cf\u7d20\u53ea\u80fd\u662f\u9ed1\u6216\u8005\u767d\uff0c\u6ca1\u6709\u4e2d\u95f4\u7684\u8fc7\u6e21<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7070\u5ea6\u56fe\u50cf<\/strong>\u662f\u6307\u5404\u50cf\u7d20\u4fe1\u606f\u7531\u4e00\u4e2a\u91cf\u5316\u7684\u7070\u5ea6\u7ea7\u6765\u63cf\u8ff0\u7684\u56fe\u50cf\uff0c\u6ca1\u6709\u5f69\u8272\u4fe1\u606f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5f69\u8272\u56fe\u50cf<\/strong>\u662f\u6307\u6bcf\u4e2a\u50cf\u7d20\u7684\u4fe1\u606f\u7531RGB\u4e09\u539f\u8272\u6784\u6210\u7684\u56fe\u50cf\uff0c\u5176\u4e2dRGB\u662f\u7531\u4e0d\u540c\u7684\u7070\u5ea6\u7ea7\u6765\u63cf\u8ff0\u7684<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u56fe\u50cf\u57fa\u672c\u8fd0\u7b97\u5206\u4e3a\uff1a\u51e0\u4f55\u8fd0\u7b97\uff0c\u4ee3\u6570\u8fd0\u7b97\uff0c\u903b\u8f91\u8fd0\u7b97\uff0c\u70b9\u8fd0\u7b97<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/image-20260702212715700.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/image-20260702212715700.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"image-20260702212715700\"\/><\/div><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/image-20260702212731081.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/image-20260702212731081.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"image-20260702212731081\"\/><\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u56fe\u50cf\u589e\u5f3a\u7684\u76ee\u7684\uff1a1\u63d0\u9ad8\u56fe\u50cf\u6e05\u6670\u5ea6\uff0c\u6539\u5584\u89c6\u89c9\u6548\u679c\u30022\u4ece\u56fe\u50cf\u4e2d\u83b7\u53d6\u66f4\u591a\u6709\u7528\u4fe1\u606f\u3002<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56fe\u50cf\u589e\u5f3a\u5206\u4e3a<strong>\u7a7a\u95f4\u57df<\/strong> \u548c <strong>\u9891\u7387\u57df<\/strong> \u4e24\u5927\u7c7b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7a7a\u95f4\u57df\u589e\u5f3a\u7b97\u6cd5\u7684\u57fa\u7840\u662f\u7070\u5ea6\u6620\u5c04\u53d8\u6362\uff0c\u4e3b\u8981\u6709\u76f4\u63a5<strong>\u7070\u5ea6\u53d8\u6362<\/strong>\uff0c<strong>\u76f4\u65b9\u56fe\u589e\u5f3a<\/strong>\uff0c\u5f69\u8272\u5904\u7406\u7b49\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9891\u7387\u57df\u589e\u5f3a\u7b97\u6cd5\u7684\u57fa\u7840\u662f\u5085\u91cc\u53f6\u53d8\u6362\u548c\u6ee4\u6ce2\u6280\u672f\uff0c\u4e3b\u8981\u6709<strong>\u4f4e\u901a\u6ee4\u6ce2\uff0c\u9ad8\u901a\u6ee4\u6ce2\uff0c\u540c\u6001\u6ee4\u6ce2<\/strong>\u7b49<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u76f4\u65b9\u56fe\u4fee\u6b63\u6cd5\u5305\u62ec\u76f4\u65b9\u56fe<strong>\u5747\u8861\u5316<\/strong>\u548c\u76f4\u65b9\u56fe<strong>\u89c4\u5b9a\u5316<\/strong>\u4e24\u7c7b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u56fe\u50cf\u7684\u63d2\u503c\u8fd0\u7b97\uff1a\u6700\u4e34\u8fd1\u63d2\u503c\uff0c\u53cc\u7ebf\u6027\u63d2\u503c\uff0c\u53cc\u4e09\u6b21\u63d2\u503c<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56fe\u50cf\u7684\u7f29\u653e\u5904\u7406\u5206\u4e3a\u56fe\u50cf\u7684\u7f29\u5c0f\u548c\u56fe\u50cf\u7684\u653e\u5927\u5904\u7406<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f530&lt;k<sub>x<\/sub> \uff0ck<sub>y<\/sub>&lt;1\uff0c\u5219\u5b9e\u73b0\u56fe\u50cf\u7684\u7f29\u5c0f\u5904\u7406\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f53k<sub>x<\/sub>\uff0ck<sub>y<\/sub> &gt; 1,\u5219\u5b9e\u73b0\u56fe\u50cf\u7684\u653e\u5927\u5904\u7406<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u52a0\u6cd5\u8fd0\u7b97<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/98db69343ebe7740574eae475300d40.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/98db69343ebe7740574eae475300d40.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"98db69343ebe7740574eae475300d40\"\/><\/div><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/665bdd8a88c6c79835742c77f47d2ed.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/665bdd8a88c6c79835742c77f47d2ed.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"665bdd8a88c6c79835742c77f47d2ed\"\/><\/div><\/figure>\n\n\n\n<h1 class=\"wp-block-heading\">\u5747\u8861\u5316\u76f4\u65b9\u56fe<\/h1>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/image-20260630202711034.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/image-20260630202711034.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"image-20260630202711034\"\/><\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u753b\u8868\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th><strong>1. \u539f\u7070\u5ea6\u7ea7 (rk)<\/strong><\/th><th><strong>0<\/strong><\/th><th><strong>1<\/strong><\/th><th><strong>2<\/strong><\/th><th><strong>3<\/strong><\/th><th><strong>4<\/strong><\/th><th><strong>5<\/strong><\/th><th><strong>6<\/strong><\/th><th><strong>7<\/strong><\/th><\/tr><\/thead><tbody><tr><td><strong>2. \u539f\u6982\u7387 (p(r_k))<\/strong><\/td><td>0.25<\/td><td>0.20<\/td><td>0.15<\/td><td>0.10<\/td><td>0.08<\/td><td>0.07<\/td><td>0.05<\/td><td>0.10<\/td><\/tr><tr><td><strong>3. \u7d2f\u52a0\u6982\u7387 (\\Sigma p)<\/strong><\/td><td>0.25<\/td><td>0.45<\/td><td>0.60<\/td><td>0.70<\/td><td>0.78<\/td><td>0.85<\/td><td>0.90<\/td><td>1.00<\/td><\/tr><tr><td><strong>4. \u4e58 (L-1) \u4e5f\u5c31\u662f \\times 7<\/strong><\/td><td>1.75<\/td><td>3.15<\/td><td>4.20<\/td><td>4.90<\/td><td>5.46<\/td><td>5.95<\/td><td>6.30<\/td><td>7.00<\/td><\/tr><tr><td><strong>5. \u56db\u820d\u4e94\u5165\u5f97\u51fa\u65b0\u7070\u5ea6 (s_k)<\/strong><\/td><td><strong>2<\/strong><\/td><td><strong>3<\/strong><\/td><td><strong>4<\/strong><\/td><td><strong>5<\/strong><\/td><td><strong>5<\/strong><\/td><td><strong>6<\/strong><\/td><td><strong>6<\/strong><\/td><td><strong>7<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5c06\u65b0\u7070\u5ea6\u5bf9\u5e94\u4e0b\u8868\u586b\u5165\u540e\u5bf9\u5e94\u539f\u7070\u5ea6\u7684\u6982\u7387\u503c<\/strong> <strong>\u6ce8\u610f\uff1a\u8868\u4e2d3,4\u548c5,6\u7684\u7070\u5ea6\u503c\u91cd\u590d\u4e86\u5c31\u5408\u5e76\u6982\u7387\uff01\uff01<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th><strong>\u5747\u8861\u540e\u7070\u5ea6 (s)<\/strong><\/th><th><strong>0<\/strong><\/th><th><strong>1<\/strong><\/th><th><strong>2<\/strong><\/th><th><strong>3<\/strong><\/th><th><strong>4<\/strong><\/th><th><strong>5<\/strong><\/th><th><strong>6<\/strong><\/th><th><strong>7<\/strong><\/th><\/tr><\/thead><tbody><tr><td><strong>\u65b0\u6982\u7387 p(s)<\/strong><\/td><td>0<\/td><td>0<\/td><td>0.25<\/td><td>0.20<\/td><td>0.15<\/td><td><strong>0.18<\/strong><\/td><td><strong>0.12<\/strong><\/td><td>0.10<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u753b\u56fe\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/image-20260630202952570.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/image-20260630202952570.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"image-20260630202952570\"\/><\/div><\/figure>\n\n\n\n<h1 class=\"wp-block-heading\">\u5747\u503c\u6ee4\u6ce2<\/h1>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/1dbb0543-f080-40e0-b393-4526df473a1d.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/1dbb0543-f080-40e0-b393-4526df473a1d.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"1dbb0543-f080-40e0-b393-4526df473a1d\"\/><\/div><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/ff0e8a26-e567-4190-bd7f-b21064d67f57.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/ff0e8a26-e567-4190-bd7f-b21064d67f57.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"ff0e8a26-e567-4190-bd7f-b21064d67f57\"\/><\/div><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u51c6\u5907\u201c\u4f5c\u6848\u5de5\u5177\u201d\uff1a\u6a21\u677f H_1<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e66\u4e0a\u7ed9\u4e86\u4e00\u4e2a H_1 \u77e9\u9635\uff0c\u524d\u9762\u4e58\u4e86\u4e00\u4e2a \\frac{1}{9}\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e2a\u4e1c\u897f\u53eb\u505a<strong>\u63a9\u819c\uff08Mask\uff09<\/strong>\u3001<strong>\u6838\uff08Kernel\uff09*<em>\u6216*<\/em>\u6a21\u677f<\/strong>\u3002\u5b83\u7684\u610f\u601d\u5c31\u662f\uff1a\u6211\u8981\u6846\u4f4f 3 \\times 3 \u4e00\u5171 9 \u4e2a\u683c\u5b50\uff0c\u628a\u8fd9 9 \u4e2a\u6570\u5b57\u52a0\u8d77\u6765\uff0c\u7136\u540e\u9664\u4ee5 9\uff08\u6c42\u5e73\u5747\uff09\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u5f00\u59cb\u6ed1\u52a8\u8ba1\u7b97\uff08\u4e66\u4e0a\u7684\u4f8b\u5b50\uff09<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e66\u4e0a\u4ee5\u5750\u6807 (1,1) \u4e3a\u4f8b\u3002\u8fd9\u91cc\u7684\u5750\u6807\u662f\u4ece 0 \u5f00\u59cb\u7b97\u7684\uff0c\u6240\u4ee5 (1,1) \u6307\u7684\u662f<strong>\u7b2c 2 \u884c\u3001\u7b2c 2 \u5217<\/strong>\u7684\u90a3\u4e2a\u6570\u5b57\uff1a<strong>2<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u628a\u6211\u4eec\u51c6\u5907\u597d\u7684 3 \\times 3 \u6a21\u677f\uff0c<strong>\u6b63\u4e2d\u5fc3<\/strong>\u5bf9\u51c6\u8fd9\u4e2a <strong>2<\/strong> \u76d6\u4e0b\u53bb\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6b64\u65f6\u6a21\u677f\u8986\u76d6\u7684 9 \u4e2a\u6570\u5b57\u662f\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7b2c\u4e00\u884c\uff1a1, 2, 1<\/li>\n\n\n\n<li>\u7b2c\u4e8c\u884c\uff1a1, 2, 2<\/li>\n\n\n\n<li>\u7b2c\u4e09\u884c\uff1a5, 7, 6<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u8ba1\u7b97\u8fc7\u7a0b\uff1a\u628a\u8fd9 9 \u4e2a\u6570\u5168\u52a0\u8d77\u6765\uff0c\u518d\u9664\u4ee5 9\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\frac{1+2+1+1+2+2+5+7+6}{9} = \\frac{27}{9} = 3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b97\u51fa\u6765\u7b49\u4e8e 3\u3002\u6240\u4ee5\uff0c\u5728\u7ed3\u679c\u77e9\u9635 g \u4e2d\uff0c\u8fd9\u4e2a\u4f4d\u7f6e\u539f\u6765\u7684 2 \u5c31\u88ab\u66ff\u6362\u6210\u4e86 3\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u6211\u4eec\u81ea\u5df1\u6765\u7ec3\u4e00\u4e2a\uff1a\u7b97\u5b83\u65c1\u8fb9\u7684\u90a3\u4e2a\u6570<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e3a\u4e86\u9a8c\u8bc1\u4f60\u61c2\u4e86\uff0c\u6211\u4eec\u7b97\u4e00\u4e0b (1,1) \u53f3\u8fb9\u90a3\u4e2a\u683c\u5b50\u3002\u4e5f\u5c31\u662f\u539f\u56fe f \u91cc<strong>\u7b2c 2 \u884c\u3001\u7b2c 3 \u5217<\/strong>\u7684\u90a3\u4e2a <strong>2<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u628a 3 \\times 3 \u6a21\u677f\u7684\u4e2d\u5fc3\u5bf9\u51c6\u5b83\u76d6\u4e0b\u53bb\uff0c\u6b64\u65f6\u8986\u76d6\u7684 9 \u4e2a\u6570\u5b57\u53d8\u6210\u4e86\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7b2c\u4e00\u884c\uff1a2, 1, 4<\/li>\n\n\n\n<li>\u7b2c\u4e8c\u884c\uff1a2, 2, 3<\/li>\n\n\n\n<li>\u7b2c\u4e09\u884c\uff1a7, 6, 8<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u8ba1\u7b97\u8fc7\u7a0b\uff1a<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\frac{2+1+4+2+2+3+7+6+8}{9} = \\frac{35}{9} \\approx 3.88<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e66\u4e0a\u89c4\u5b9a\u4e86\u8981\u201c<strong>\u56db\u820d\u4e94\u5165<\/strong>\u201d\uff0c\u6240\u4ee5 3.88 \u53d8\u6210 <strong>4<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u53bb\u7ffb\u56fe 2 \u91cc\u7684\u7ed3\u679c\u77e9\u9635 g\uff0c\u7b2c 2 \u884c\u3001\u7b2c 3 \u5217\u7684\u6570\u5b57\u662f\u4e0d\u662f\u521a\u597d\u5c31\u662f <strong>4<\/strong>\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee5\u6b64\u7c7b\u63a8\uff0c\u8fd9\u4e2a\u6a21\u677f\u5c31\u50cf\u63a8\u571f\u673a\u4e00\u6837\uff0c\u4e00\u683c\u4e00\u683c\u626b\u8fc7\u6574\u5f20\u56fe\u7247\uff0c\u628a\u6240\u6709\u6570\u5b57\u90fd\u66f4\u65b0\u4e00\u904d\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">\u4e2d\u503c\u6ee4\u6ce2<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u548c\u5747\u503c\u6ee4\u6ce2\u4e00\u6837\uff0c3&#215;3\u77e9\u9635\u4f9d\u6b21\u5f80\u4e0b\u6846\u9009\u3002\u5bf9\u77e9\u9635\u6846\u9009\u51fa\u7684\u6570\u5b57\u8fdb\u884c\u6392\u5e8f\uff0c\u9009\u51fa\u4e2d\u5fc3\u503c\u66ff\u6362<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">1. \u8ba1\u7b97\u5750\u6807 (1,1) \u7684\u4e2d\u503c<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u7a97\u53e3\u8986\u76d6\u7684 9 \u4e2a\u6570\u5b57\u662f\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7b2c\u4e00\u884c\uff1a1, 2, 1<\/li>\n\n\n\n<li>\u7b2c\u4e8c\u884c\uff1a1, <strong>2<\/strong>, 2 <em>(\u7c97\u4f53\u4e3a\u4e2d\u5fc3\u50cf\u7d20)<\/em><\/li>\n\n\n\n<li>\u7b2c\u4e09\u884c\uff1a5, 7, 6<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7b2c\u4e00\u6b65\uff1a\u4ece\u5c0f\u5230\u5927\u6392\u5e8f<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1, 1, 1, 2, \\mathbf{2}, 2, 5, 6, 7<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7b2c\u4e8c\u6b65\uff1a\u627e\u6b63\u4e2d\u95f4\uff08\u7b2c 5 \u4e2a\u6570\uff09<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6570\u4e00\u4e0b\uff0c\u6392\u5728\u7b2c 5 \u4f4d\u7684\u662f <strong>2<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff0c\u4e2d\u503c\u6ee4\u6ce2\u540e\u7684\u7ed3\u679c\u662f <strong>2<\/strong>\u3002\uff08\u521a\u597d\u548c\u539f\u503c\u4e00\u6837\uff09<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">roberts\u7b97\u5b50<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u524d\u9762\u5b66\u7684\u201c\u5747\u503c\u6ee4\u6ce2\u201d\u548c\u201c\u4e2d\u503c\u6ee4\u6ce2\u201d\u662f\u4e3a\u4e86<strong>\u5e73\u6ed1\u56fe\u50cf\uff08\u53bb\u566a\uff09<\/strong>\u3002\u800c\u8fd9\u4e2a <strong>Roberts\uff08\u7f57\u4f2f\u8328\uff09\u7b97\u5b50<\/strong>\uff0c\u5b83\u7684\u76ee\u7684\u5b8c\u5168\u76f8\u53cd\uff0c\u5b83\u662f\u7528\u6765\u505a\u9510\u5316\u56fe\u50cf\uff08\u8fb9\u7f18\u68c0\u6d4b\uff09\u7684\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u53ef\u4ee5\u8fd9\u6837\u7406\u89e3\uff1a\u5982\u679c\u4e00\u5757\u533a\u57df\u5168\u662f\u4e00\u6a21\u4e00\u6837\u7684\u989c\u8272\uff08\u5e73\u5766\u533a\uff09\uff0c\u90a3\u5b83\u4e0d\u91cd\u8981\uff0c\u8ba1\u7b97\u7ed3\u679c\u6700\u597d\u662f 0\uff1b\u5982\u679c\u4e00\u4e2a\u5730\u65b9\u989c\u8272\u7a81\u7136\u53d1\u751f\u4e86\u5267\u53d8\uff08\u6bd4\u5982\u4ece 3 \u7a81\u53d8\u6210\u4e86 7\uff09\uff0c\u90a3\u8fd9\u91cc\u80af\u5b9a\u662f\u4e00\u6761\u201c\u8fb9\u754c\/\u8f6e\u5ed3\u201d\uff0c\u6211\u4eec\u8981\u628a\u5b83\u627e\u51fa\u6765\u5e76\u4e14\u653e\u5927\uff01<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u600e\u4e48\u627e\u7a81\u53d8\u5462\uff1f\u6700\u7b80\u5355\u7684\u6570\u5b66\u65b9\u6cd5\u5c31\u662f<strong>\u6c42\u5dee\uff08\u51cf\u6cd5\uff09<\/strong>\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. Roberts \u7b97\u5b50\u7684\u6838\u5fc3\uff1a\u4ea4\u53c9\u76f8\u51cf\uff08\u6c42\u68af\u5ea6\uff09<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Roberts \u7b97\u5b50\u7528\u7684\u4e5f\u662f 2 \\times 2 \u7684\u6ed1\u52a8\u7a97\u53e3\u3002\u4f46\u5b83\u4e0d\u662f\u628a\u56db\u4e2a\u6570\u52a0\u8d77\u6765\uff0c\u800c\u662f<strong>\u5bf9\u89d2\u7ebf\u4ea4\u53c9\u76f8\u51cf<\/strong>\uff0c\u518d\u628a\u7edd\u5bf9\u503c\u52a0\u8d77\u6765\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u770b\u4e66\u4e0a\u7684\u516c\u5f0f (7-5)\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">g(x,y) = |f(x,y) &#8211; f(x+1, y+1)| + |f(x+1, y) &#8211; f(x, y+1)|<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ed3\u5408\u4e66\u4e0a\u7ed9\u7684\u4e24\u4e2a\u63a9\u819c\u77e9\u9635 H_1 \u548c H_2\uff0c\u7ffb\u8bd1\u6210\u4eba\u8bdd\u5c31\u662f\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u4e3b\u5bf9\u89d2\u7ebf\u76f8\u51cf (H_1)\uff1a<\/strong> <code>\u5de6\u4e0a\u89d2\u50cf\u7d20<\/code> \u51cf\u53bb <code>\u53f3\u4e0b\u89d2\u50cf\u7d20<\/code>\uff0c\u53d6\u7edd\u5bf9\u503c\u3002<\/li>\n\n\n\n<li><strong>\u526f\u5bf9\u89d2\u7ebf\u76f8\u51cf (H_2)\uff1a<\/strong> <code>\u53f3\u4e0a\u89d2\u50cf\u7d20<\/code> \u51cf\u53bb <code>\u5de6\u4e0b\u89d2\u50cf\u7d20<\/code>\uff0c\u53d6\u7edd\u5bf9\u503c\u3002<\/li>\n\n\n\n<li><strong>\u6c42\u548c\uff1a<\/strong> \u628a\u4e0a\u9762\u4e24\u4e2a\u7edd\u5bf9\u503c\u52a0\u8d77\u6765\uff0c\u586b\u5165\u5de6\u4e0a\u89d2\u7684\u4f4d\u7f6e\u3002<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u8ddf\u7740\u4e66\u4e0a\u7684\u4f8b\u9898 7.3 \u5b9e\u64cd\u4e00\u4e0b<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u539f\u59cb\u77e9\u9635 f \u662f\u4e00\u4e2a 5 \\times 5 \u7684\u56fe\u3002\u6211\u4eec\u62ff\u51e0\u4e2a\u5178\u578b\u4f4d\u7f6e\u7b97\u4e00\u4e0b\uff0c\u4f60\u5c31\u5b8c\u5168\u660e\u767d\u4e86\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">\u60c5\u51b5 A\uff1a\u8de8\u8d8a\u8fb9\u754c\u7684\u5730\u65b9\uff08\u6709\u7a81\u53d8\uff09<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee5\u70b9 (0,0) \u4e3a\u4f8b\uff08\u4e5f\u5c31\u662f\u6700\u5de6\u4e0a\u89d2\u7684\u90a3\u4e2a 3\uff09\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7528 2 \\times 2 \u7a97\u53e3\u76d6\u4e0a\u53bb\uff0c\u6846\u4f4f\u7684\u56db\u4e2a\u6570\u662f\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Plaintext<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">&nbsp;3  3<br>&nbsp;3  7<\/pre>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4e3b\u5bf9\u89d2\u7ebf\u76f8\u51cf\u7684\u7edd\u5bf9\u503c\uff1a|3 &#8211; 7| = |-4| = 4<\/li>\n\n\n\n<li>\u526f\u5bf9\u89d2\u7ebf\u76f8\u51cf\u7684\u7edd\u5bf9\u503c\uff1a|3 &#8211; 3| = 0<\/li>\n\n\n\n<li><strong>\u6700\u7ec8\u7ed3\u679c\uff1a<\/strong> 4 + 0 = <strong><code>4<\/code><\/strong>\u3002 \uff08\u4f60\u6838\u5bf9\u4e00\u4e0b\u7ed3\u679c\u77e9\u9635 g\uff0c\u5de6\u4e0a\u89d2\u662f\u4e0d\u662f\u53d8\u6210\u4e86 4\uff01\uff09<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u518d\u6bd4\u5982\u7b97 (0,1)\uff0c\u5f80\u53f3\u79fb\u4e00\u683c\uff0c\u6846\u4f4f\u7684\u56db\u4e2a\u6570\u662f\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Plaintext<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">&nbsp;3  3<br>&nbsp;7  7<\/pre>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4e3b\u5bf9\u89d2\u7ebf\u76f8\u51cf\u7684\u7edd\u5bf9\u503c\uff1a|3 &#8211; 7| = 4<\/li>\n\n\n\n<li>\u526f\u5bf9\u89d2\u7ebf\u76f8\u51cf\u7684\u7edd\u5bf9\u503c\uff1a|3 &#8211; 7| = 4<\/li>\n\n\n\n<li><strong>\u6700\u7ec8\u7ed3\u679c\uff1a<\/strong> 4 + 4 = <strong><code>8<\/code><\/strong>\u3002\uff08\u8bf4\u660e\u8fd9\u91cc\u7684\u989c\u8272\u53d8\u5316\u6bd4\u4e0a\u4e00\u4e2a\u5730\u65b9\u66f4\u5267\u70c8\uff0c\u8fb9\u7f18\u7279\u5f81\u66f4\u660e\u663e\uff09<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">\u60c5\u51b5 B\uff1a\u5e73\u5766\u7684\u5730\u65b9\uff08\u65e0\u53d8\u5316\uff09<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u6211\u4eec\u6765\u770b\u77e9\u9635\u6b63\u4e2d\u95f4\uff0c\u70b9 (1,1)\uff0c\u4e5f\u5c31\u662f\u90a3\u4e00\u5806 7 \u7684\u4e2d\u95f4\u3002\u6846\u4f4f\u7684\u56db\u4e2a\u6570\u662f\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Plaintext<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">&nbsp;7  7<br>&nbsp;7  7<\/pre>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4e3b\u5bf9\u89d2\u7ebf\u76f8\u51cf\u7684\u7edd\u5bf9\u503c\uff1a|7 &#8211; 7| = 0<\/li>\n\n\n\n<li>\u526f\u5bf9\u89d2\u7ebf\u76f8\u51cf\u7684\u7edd\u5bf9\u503c\uff1a|7 &#8211; 7| = 0<\/li>\n\n\n\n<li><strong>\u6700\u7ec8\u7ed3\u679c\uff1a<\/strong> 0 + 0 = <strong><code>0<\/code><\/strong>\u3002\uff08\u7ed3\u679c\u77e9\u9635 g \u4e2d\u95f4\u90a3\u4e00\u7247\u5168\u53d8\u6210\u4e86 0\u3002\u56e0\u4e3a\u8fd9\u91cc\u662f\u4e00\u5927\u5757\u7eaf\u8272\uff0c\u6ca1\u6709\u8fb9\u7f18\u3002\uff09<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u26a0\ufe0f \u5751\u70b9\u6ce8\u610f\uff1a\u8fb9\u7f18\u600e\u4e48\u529e\uff1f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u7684\u539f\u59cb\u77e9\u9635\u662f 5 \\times 5\uff0c\u7b97\u51fa\u6765\u7684\u7ed3\u679c\u5e94\u8be5\u4e5f\u662f 5 \\times 5\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f\uff01\u5f53\u4f60\u628a 2 \\times 2 \u7a97\u53e3\u6ed1\u52a8\u5230\u6700\u540e\u4e00\u884c\u6216\u8005\u6700\u540e\u4e00\u5217\u65f6\uff0c\u7a97\u53e3\u5c31<strong>\u8d8a\u754c<\/strong>\u4e86\uff0c\u56e0\u4e3a\u6ca1\u6709\u201c\u53f3\u4e0b\u89d2\u201d\u6216\u201c\u53f3\u8fb9\u201d\u7684\u50cf\u7d20\u7ed9\u4f60\u51cf\u4e86\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u770b\u4f8b\u9898\u89e3\u7b54\u91cc\u6709\u4e00\u53e5\u6781\u5176\u5173\u952e\u7684\u8bdd\uff1a<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>\u201c\u6a21\u677f\u7f69\u4e0d\u4f4f\u7684\u50cf\u7d20\u70b9\u76f4\u63a5\u8d4b\u80cc\u666f\u503c 0\u201d<\/strong><\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff0c\u4f60\u770b\u6700\u7ec8\u7ed3\u679c\u77e9\u9635 g \u7684<strong>\u6700\u4e0b\u9762\u4e00\u884c<\/strong>\u548c<strong>\u6700\u53f3\u8fb9\u4e00\u5217<\/strong>\uff0c\u6839\u672c\u4e0d\u7528\u7b97\uff0c<strong>\u5168\u90e8\u76f4\u63a5\u586b 0<\/strong>\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">robert\u7b49\u7b49\u7b97\u5b50<\/h1>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/50bd8a3328cc3358dedc1a6a35a6172.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/www.millscience.cn\/wp-content\/uploads\/2026\/07\/50bd8a3328cc3358dedc1a6a35a6172.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"50bd8a3328cc3358dedc1a6a35a6172\"\/><\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u6ca1\u95ee\u9898\uff0c\u4e3a\u4e86\u8ba9\u4f60\u80fd\u5f7b\u5e95\u770b\u61c2\uff0c\u6211\u4eec\u628a\u6240\u6709\u6b65\u9aa4\u5c55\u5f00\uff0c\u8fdb\u884c\u5b8c\u6574\u7684\u8ba1\u7b97\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u5904\u7406\u8fd9\u7c7b\u9898\u76ee\u65f6\uff0c\u7531\u4e8e\u6ca1\u6709\u7ed9\u51fa\u8fb9\u7f18\u586b\u5145\uff08\u5982\u8865\u96f6\uff09\u7684\u6307\u793a\uff0c\u6700\u6807\u51c6\u7684\u505a\u6cd5\u662f<strong>\u53ea\u8ba1\u7b97\u7b97\u5b50\u80fd\u5b8c\u6574\u8986\u76d6\u7684\u5185\u90e8\u50cf\u7d20<\/strong>\uff08\u5ffd\u7565\u8fb9\u7f18\u65e0\u6cd5\u8ba1\u7b97\u7684\u90e8\u5206\uff09\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u539f\u56fe\u50cf\u77e9\u9635\u4e3a\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">f=\\begin{bmatrix}9&amp;13&amp;23&amp;16\\\\11&amp;15&amp;22&amp;19\\\\12&amp;15&amp;18&amp;18\\\\10&amp;8&amp;12&amp;14\\end{bmatrix}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. Roberts \u7b97\u5b50\u9510\u5316\u8ba1\u7b97<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Roberts \u7b97\u5b50\u4f7f\u7528\u7684\u662f 2\\times 2 \u7684\u6a21\u677f\u3002\u56e0\u6b64\uff0c\u5728 4\\times 4 \u7684\u77e9\u9635\u4e2d\uff0c\u5b83\u53ef\u4ee5\u5728\u5de6\u4e0a\u89d2\u7684 3\\times 3 \u8303\u56f4\u5185\u6ed1\u52a8\u8ba1\u7b97\u3002\u6211\u4eec\u5c06\u8ba1\u7b97\u51fa 9 \u4e2a\u9510\u5316\u540e\u7684\u50cf\u7d20\u503c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u516c\u5f0f\uff1a<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u68af\u5ea6 G(x,y)=|f(x,y)-f(x+1,y+1)|+|f(x,y+1)-f(x+1,y)|<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9510\u5316\u7ed3\u679c g(x,y)=f(x,y)+G(x,y)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u9010\u4e2a\u50cf\u7d20\u8ba1\u7b97\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u7b2c1\u884c\uff1a<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>\u8ba1\u7b97 (1,1) \u4f4d\u7f6e\u503c\u4e3a 9\uff1a<\/strong> \u53d6\u77e9\u9635 \\begin{bmatrix}9&amp;13\\\\11&amp;15\\end{bmatrix}G=|9-15|+|13-11|=6+2=8g=9+8=17<\/li>\n\n\n\n<li><strong>\u8ba1\u7b97 (1,2) \u4f4d\u7f6e\u503c\u4e3a 13\uff1a<\/strong> \u53d6\u77e9\u9635 \\begin{bmatrix}13&amp;23\\\\15&amp;22\\end{bmatrix}G=|13-22|+|23-15|=9+8=17g=13+17=30<\/li>\n\n\n\n<li><strong>\u8ba1\u7b97 (1,3) \u4f4d\u7f6e\u503c\u4e3a 23\uff1a<\/strong> \u53d6\u77e9\u9635 \\begin{bmatrix}23&amp;16\\\\22&amp;19\\end{bmatrix}G=|23-19|+|16-22|=4+6=10g=23+10=33<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u7b2c2\u884c\uff1a<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>\u8ba1\u7b97 (2,1) \u4f4d\u7f6e\u503c\u4e3a 11\uff1a<\/strong> \u53d6\u77e9\u9635 \\begin{bmatrix}11&amp;15\\\\12&amp;15\\end{bmatrix}G=|11-15|+|15-12|=4+3=7g=11+7=18<\/li>\n\n\n\n<li><strong>\u8ba1\u7b97 (2,2) \u4f4d\u7f6e\u503c\u4e3a 15\uff1a<\/strong> \u53d6\u77e9\u9635 \\begin{bmatrix}15&amp;22\\\\15&amp;18\\end{bmatrix}G=|15-18|+|22-15|=3+7=10g=15+10=25<\/li>\n\n\n\n<li><strong>\u8ba1\u7b97 (2,3) \u4f4d\u7f6e\u503c\u4e3a 22\uff1a<\/strong> \u53d6\u77e9\u9635 \\begin{bmatrix}22&amp;19\\\\18&amp;18\\end{bmatrix}G=|22-18|+|19-18|=4+1=5g=22+5=27<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u7b2c3\u884c\uff1a<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>\u8ba1\u7b97 (3,1) \u4f4d\u7f6e\u503c\u4e3a 12\uff1a<\/strong> \u53d6\u77e9\u9635 \\begin{bmatrix}12&amp;15\\\\10&amp;8\\end{bmatrix}G=|12-8|+|15-10|=4+5=9g=12+9=21<\/li>\n\n\n\n<li><strong>\u8ba1\u7b97 (3,2) \u4f4d\u7f6e\u503c\u4e3a 15\uff1a<\/strong> \u53d6\u77e9\u9635 \\begin{bmatrix}15&amp;18\\\\8&amp;12\\end{bmatrix}G=|15-12|+|18-8|=3+10=13g=15+13=28<\/li>\n\n\n\n<li><strong>\u8ba1\u7b97 (3,3) \u4f4d\u7f6e\u503c\u4e3a 18\uff1a<\/strong> \u53d6\u77e9\u9635 \\begin{bmatrix}18&amp;18\\\\12&amp;14\\end{bmatrix}G=|18-14|+|18-12|=4+6=10g=18+10=28<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Roberts \u7b97\u5b50\u6700\u7ec8\u5f97\u5230\u7684 3\\times 3 \u7ed3\u679c\u77e9\u9635\uff1a<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">g_{Roberts}=\\begin{bmatrix}17&amp;30&amp;33\\\\18&amp;25&amp;27\\\\21&amp;28&amp;28\\end{bmatrix}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. Sobel \u7b97\u5b50\u9510\u5316\u8ba1\u7b97<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Sobel \u7b97\u5b50\u4f7f\u7528\u7684\u662f 3\\times 3 \u7684\u6a21\u677f\u3002\u56e0\u6b64\uff0c\u5728\u4e0d\u8865\u96f6\u7684\u60c5\u51b5\u4e0b\uff0c\u5b83\u53ea\u80fd\u8ba1\u7b97\u539f\u77e9\u9635\u4e2d\u5fc3\u88ab\u5b8c\u5168\u5305\u88f9\u7684 4 \u4e2a\u50cf\u7d20\uff0c\u4e5f\u5c31\u662f (2,2), (2,3), (3,2), (3,3) \u5904\u7684\u503c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u516c\u5f0f\uff1a<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u68af\u5ea6 G=|G_x|+|G_y|<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9510\u5316\u7ed3\u679c g=f+G<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">G_x \u662f\u5c06\u5de6\u53f3\u4e24\u5217\u76f8\u51cf\uff08\u7b2c\u4e00\u5217\u4e58\u4ee5-1\uff0c\u7b2c\u4e09\u5217\u4e58\u4ee51\uff0c\u4e2d\u95f4\u884c\u6743\u91cd\u52a0\u500d\uff09\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">G_y \u662f\u5c06\u4e0a\u4e0b\u4e24\u884c\u76f8\u51cf\uff08\u7b2c\u4e00\u884c\u4e58\u4ee5-1\uff0c\u7b2c\u4e09\u884c\u4e58\u4ee51\uff0c\u4e2d\u95f4\u5217\u6743\u91cd\u52a0\u500d\uff09\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u9010\u4e2a\u50cf\u7d20\u8ba1\u7b97\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u8ba1\u7b97 (2,2) \u4f4d\u7f6e\uff0c\u4e2d\u5fc3\u503c\u4e3a 15\uff1a<\/strong> \u53d6 3\\times 3 \u90bb\u57df \\begin{bmatrix}9&amp;13&amp;23\\\\11&amp;15&amp;22\\\\12&amp;15&amp;18\\end{bmatrix}G_x=(-9+23)+2\\times(-11+22)+(-12+18)=14+22+6=42G_y=(-9-2\\times13-23)+(12+2\\times15+18)=-58+60=2G=|42|+|2|=44g=15+44=59<\/li>\n\n\n\n<li><strong>\u8ba1\u7b97 (2,3) \u4f4d\u7f6e\uff0c\u4e2d\u5fc3\u503c\u4e3a 22\uff1a<\/strong> \u53d6 3\\times 3 \u90bb\u57df \\begin{bmatrix}13&amp;23&amp;16\\\\15&amp;22&amp;19\\\\15&amp;18&amp;18\\end{bmatrix}G_x=(-13+16)+2\\times(-15+19)+(-15+18)=3+8+3=14G_y=(-13-2\\times23-16)+(15+2\\times18+18)=-75+69=-6G=|14|+|-6|=20g=22+20=42<\/li>\n\n\n\n<li><strong>\u8ba1\u7b97 (3,2) \u4f4d\u7f6e\uff0c\u4e2d\u5fc3\u503c\u4e3a 15\uff1a<\/strong> \u53d6 3\\times 3 \u90bb\u57df \\begin{bmatrix}11&amp;15&amp;22\\\\12&amp;15&amp;18\\\\10&amp;8&amp;12\\end{bmatrix}G_x=(-11+22)+2\\times(-12+18)+(-10+12)=11+12+2=25G_y=(-11-2\\times15-22)+(10+2\\times8+12)=-63+38=-25G=|25|+|-25|=50g=15+50=65<\/li>\n\n\n\n<li><strong>\u8ba1\u7b97 (3,3) \u4f4d\u7f6e\uff0c\u4e2d\u5fc3\u503c\u4e3a 18\uff1a<\/strong> \u53d6 3\\times 3 \u90bb\u57df \\begin{bmatrix}15&amp;22&amp;19\\\\15&amp;18&amp;18\\\\8&amp;12&amp;14\\end{bmatrix}G_x=(-15+19)+2\\times(-15+18)+(-8+14)=4+6+6=16G_y=(-15-2\\times22-19)+(8+2\\times12+14)=-78+46=-32G=|16|+|-32|=48g=18+48=66<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Sobel \u7b97\u5b50\u6700\u7ec8\u5f97\u5230\u7684 2\\times 2 \u7ed3\u679c\u77e9\u9635\uff1a<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">g_{Sobel}=\\begin{bmatrix}59&amp;42\\\\65&amp;66\\end{bmatrix}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. Laplacian \u7b97\u5b50\u9510\u5316\u8ba1\u7b97<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Laplacian \u4e5f\u662f 3\\times 3 \u7684\u6a21\u677f\uff0c\u6240\u4ee5\u540c\u6837\u53ea\u8ba1\u7b97\u4e2d\u5fc3\u7684 4 \u4e2a\u50cf\u7d20\u3002\u8fd9\u91cc\u91c7\u7528\u6700\u6807\u51c6\u7684\u5341\u5b57\u578b\u6a21\u677f\uff0c\u5373\u4e0a\u3001\u4e0b\u3001\u5de6\u3001\u53f3\u76f8\u90bb\u50cf\u7d20\u76f8\u52a0\uff0c\u51cf\u53bb 4 \u500d\u7684\u4e2d\u5fc3\u50cf\u7d20\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u516c\u5f0f\uff1a<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8c\u9636\u5bfc\u6570 \\nabla^2 f = (\u4e0a+\u4e0b+\u5de6+\u53f3) &#8211; 4\\times \u4e2d\u5fc3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9510\u5316\u7ed3\u679c g = f &#8211; \\nabla^2 f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u9010\u4e2a\u50cf\u7d20\u8ba1\u7b97\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u8ba1\u7b97 (2,2) \u4f4d\u7f6e\uff0c\u4e2d\u5fc3\u503c\u4e3a 15\uff1a<\/strong> \u4e0a=13, \u5de6=11, \u53f3=22, \u4e0b=15\\nabla^2 f=(13+11+22+15)-4\\times15=61-60=1g=15-1=14<\/li>\n\n\n\n<li><strong>\u8ba1\u7b97 (2,3) \u4f4d\u7f6e\uff0c\u4e2d\u5fc3\u503c\u4e3a 22\uff1a<\/strong> \u4e0a=23, \u5de6=15, \u53f3=19, \u4e0b=18\\nabla^2 f=(23+15+19+18)-4\\times22=75-88=-13g=22-(-13)=35<\/li>\n\n\n\n<li><strong>\u8ba1\u7b97 (3,2) \u4f4d\u7f6e\uff0c\u4e2d\u5fc3\u503c\u4e3a 15\uff1a<\/strong> \u4e0a=15, \u5de6=12, \u53f3=18, \u4e0b=8\\nabla^2 f=(15+12+18+8)-4\\times15=53-60=-7g=15-(-7)=22<\/li>\n\n\n\n<li><strong>\u8ba1\u7b97 (3,3) \u4f4d\u7f6e\uff0c\u4e2d\u5fc3\u503c\u4e3a 18\uff1a<\/strong> \u4e0a=22, \u5de6=15, \u53f3=18, \u4e0b=12\\nabla^2 f=(22+15+18+12)-4\\times18=67-72=-5g=18-(-5)=23<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Laplacian \u7b97\u5b50\u6700\u7ec8\u5f97\u5230\u7684 2\\times 2 \u7ed3\u679c\u77e9\u9635\uff1a<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">g_{Laplacian}=\\begin{bmatrix}14&amp;35\\\\22&amp;23\\end{bmatrix}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u662f\u4e00\u9053\u975e\u5e38\u7ecf\u5178\u7684\u6570\u5b66\u5f62\u6001\u5b66\uff08Mathematical Morphology\uff09\u9898\u76ee\uff0c\u4e3b\u8981\u8003\u5bdf\u81a8\u80c0\uff08Dilation\uff09<strong>\u548c<\/strong>\u8150\u8680\uff08Erosion\uff09\u7684\u5177\u4f53\u77e9\u9635\u8fd0\u7b97\u65b9\u6cd5\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e3a\u4e86\u8ba9\u4f60\u80fd\u591f\u6e05\u6670\u5730\u638c\u63e1\u8fd9\u9053\u9898\u7684\u7b97\u6cd5\uff0c\u6211\u5c06\u901a\u8fc7\u7ed3\u6784\u5143\u7d20\u7684\u5750\u6807\u6620\u5c04\uff0c\u4e3a\u4f60\u4e00\u6b65\u6b65\u62c6\u89e3\u8ba1\u7b97\u8fc7\u7a0b\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">\u81a8\u80c0\u8150\u8680\u8fd0\u7b97<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u9996\u5148\uff0c\u4ece\u56fe\u7247\u4e2d\u6211\u4eec\u53ef\u4ee5\u63d0\u53d6\u51fa\u539f\u56fe\u50cf\u77e9\u9635 X \u548c\u7ed3\u6784\u5143\u7d20 B\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">X=\\begin{bmatrix}0&amp;0&amp;1&amp;1\\\\0&amp;1&amp;1&amp;0\\\\1&amp;1&amp;1&amp;0\\\\0&amp;1&amp;1&amp;0\\end{bmatrix}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B=\\begin{bmatrix}0&amp;1\\\\1&amp;\\langle1\\rangle\\end{bmatrix}<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7406\u89e3\u7ed3\u6784\u5143\u7d20 B\uff1a<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u4e2d\u7279\u522b\u6807\u6ce8\u4e86\u201c\u52a0 \\langle\\rangle \u7684\u4e3a\u7ed3\u6784\u5143\u7d20\u53c2\u8003\u70b9\u201d\u3002\u53c2\u8003\u70b9\uff08\u539f\u70b9\uff09\u4f4d\u4e8e B \u7684<strong>\u53f3\u4e0b\u89d2<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee5\u53c2\u8003\u70b9\u5750\u6807\u4e3a (x, y)\uff0c\u7ed3\u6784\u5143\u7d20 B \u4e2d\u503c\u4e3a 1 \u7684\u6709\u6548\u4f4d\u7f6e\u5305\u62ec\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u53c2\u8003\u70b9\u81ea\u8eab<\/strong>\uff1a(x, y)<\/li>\n\n\n\n<li><strong>\u53c2\u8003\u70b9\u7684\u6b63\u4e0a\u65b9<\/strong>\uff1a(x-1, y)<\/li>\n\n\n\n<li><strong>\u53c2\u8003\u70b9\u7684\u6b63\u5de6\u4fa7<\/strong>\uff1a(x, y-1)<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u8150\u8680\u8fd0\u7b97\uff08Erosion\uff09\u8ba1\u7b97\u8fc7\u7a0b<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u8fd0\u7b97\u89c4\u5219\uff08\u201c\u4e25\u82db\u7684\u4e0e\u903b\u8f91\u201d\uff09\uff1a<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c06\u7ed3\u6784\u5143\u7d20 B \u7684\u53c2\u8003\u70b9\u9010\u4e2a\u5bf9\u9f50\u539f\u56fe X \u4e2d\u7684\u6bcf\u4e00\u4e2a\u50cf\u7d20\u3002\u53ea\u6709\u5f53 B \u4e2d\u6240\u6709\u4e3a 1 \u7684\u4f4d\u7f6e\uff0c\u5728\u539f\u56fe X \u4e2d\u5bf9\u5e94\u4f4d\u7f6e<strong>\u4e5f\u5168\u90e8\u4e3a 1 \u65f6<\/strong>\uff0c\u8be5\u4e2d\u5fc3\u70b9\u8fd0\u7b97\u540e\u7684\u7ed3\u679c\u624d\u4e3a 1\uff0c\u5426\u5219\u4e3a 0\u3002\uff08\u6ce8\u610f\uff1a\u82e5\u8d85\u51fa\u8fb9\u754c\u6309 0 \u5904\u7406\uff09\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u8f6c\u5316\u4e3a\u901a\u4fd7\u7684\u5224\u5b9a\u6761\u4ef6\uff1a<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u8f93\u51fa\u56fe\u50cf\u4e2d\u7684\u4efb\u610f\u5750\u6807 (x,y)\uff0c\u53ea\u6709\u5f53\u539f\u56fe\u6ee1\u8db3 <strong>\u5f53\u524d\u70b9\u4e3a 1 \u4e14 \u5176\u6b63\u4e0a\u65b9\u70b9\u4e3a 1 \u4e14 \u5176\u6b63\u5de6\u4fa7\u70b9\u4e3a 1<\/strong> \u65f6\uff0c\u8f93\u51fa\u624d\u4e3a 1\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u9010\u4e2a\u5224\u5b9a\u539f\u56fe X \u4e2d\u503c\u4e3a 1 \u7684\u50cf\u7d20\u70b9\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(1,3) \u503c\u4e3a 1\uff1a\u5176\u4e0a\u65b9\u8d8a\u754c\u4e3a 0\uff0c\u7ed3\u679c\u4e3a 0\u3002<\/li>\n\n\n\n<li>(1,4) \u503c\u4e3a 1\uff1a\u5176\u4e0a\u65b9\u8d8a\u754c\u4e3a 0\uff0c\u7ed3\u679c\u4e3a 0\u3002<\/li>\n\n\n\n<li>(2,2) \u503c\u4e3a 1\uff1a\u4e0a\u65b9 (1,2) \u4e3a 0\uff0c\u5de6\u4fa7 (2,1) \u4e3a 0\uff0c\u7ed3\u679c\u4e3a 0\u3002<\/li>\n\n\n\n<li>(2,3) \u503c\u4e3a 1\uff1a\u4e0a\u65b9 (1,3) \u4e3a 1\uff0c\u5de6\u4fa7 (2,2) \u4e3a 1\u3002<strong>\u5168\u4e3a 1\uff0c\u7ed3\u679c\u4e3a 1\u3002<\/strong><\/li>\n\n\n\n<li>(3,1) \u503c\u4e3a 1\uff1a\u5de6\u4fa7\u8d8a\u754c\u4e3a 0\uff0c\u7ed3\u679c\u4e3a 0\u3002<\/li>\n\n\n\n<li>(3,2) \u503c\u4e3a 1\uff1a\u4e0a\u65b9 (2,2) \u4e3a 1\uff0c\u5de6\u4fa7 (3,1) \u4e3a 1\u3002<strong>\u5168\u4e3a 1\uff0c\u7ed3\u679c\u4e3a 1\u3002<\/strong><\/li>\n\n\n\n<li>(3,3) \u503c\u4e3a 1\uff1a\u4e0a\u65b9 (2,3) \u4e3a 1\uff0c\u5de6\u4fa7 (3,2) \u4e3a 1\u3002<strong>\u5168\u4e3a 1\uff0c\u7ed3\u679c\u4e3a 1\u3002<\/strong><\/li>\n\n\n\n<li>(4,2) \u503c\u4e3a 1\uff1a\u5de6\u4fa7 (4,1) \u4e3a 0\uff0c\u7ed3\u679c\u4e3a 0\u3002<\/li>\n\n\n\n<li>(4,3) \u503c\u4e3a 1\uff1a\u4e0a\u65b9 (3,3) \u4e3a 1\uff0c\u5de6\u4fa7 (4,2) \u4e3a 1\u3002<strong>\u5168\u4e3a 1\uff0c\u7ed3\u679c\u4e3a 1\u3002<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ecf\u8fc7\u8150\u8680\u8fd0\u7b97\u540e\uff0c\u5f97\u5230<strong>\u6700\u7ec8\u8150\u8680\u7ed3\u679c\u77e9\u9635<\/strong>\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">X\\ominus B=\\begin{bmatrix}0&amp;0&amp;0&amp;0\\\\0&amp;0&amp;1&amp;0\\\\0&amp;1&amp;1&amp;0\\\\0&amp;0&amp;1&amp;0\\end{bmatrix}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u81a8\u80c0\u8fd0\u7b97\uff08Dilation\uff09\u8ba1\u7b97\u8fc7\u7a0b<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u8fd0\u7b97\u89c4\u5219\uff08\u201c\u5bbd\u5bb9\u7684\u6216\u903b\u8f91\u201d\uff09\uff1a<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u56fe\u50cf\u626b\u63cf\u6cd5\u4e2d\uff0c\u8ba1\u7b97\u81a8\u80c0\u65f6\u6211\u4eec\u9700\u8981\u5c06\u7ed3\u6784\u5143\u7d20 B <strong>\u65cb\u8f6c 180^\\circ<\/strong>\uff08\u5373\u6cbf\u539f\u70b9\u8fdb\u884c\u5bf9\u79f0\u7ffb\u8f6c\uff09\uff0c\u5f97\u5230 \\hat{B}\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u539f\u6765 B \u5305\u542b\uff08\u81ea\u8eab\u3001\u4e0a\u3001\u5de6\uff09\uff0c\u7ffb\u8f6c\u540e\u7684 \\hat{B} \u5305\u542b\uff08\u81ea\u8eab\u3001\u4e0b\u3001\u53f3\uff09\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c06\u7ffb\u8f6c\u540e\u7684\u53c2\u8003\u70b9\u5bf9\u9f50\u539f\u56fe\u4e2d\u7684\u6bcf\u4e00\u4e2a\u50cf\u7d20\uff0c\u53ea\u8981\u8986\u76d6\u8303\u56f4\u5185<strong>\u6709\u4efb\u4f55\u4e00\u4e2a\u70b9\u5728\u539f\u56fe\u4e2d\u4e3a 1<\/strong>\uff0c\u8be5\u4e2d\u5fc3\u70b9\u8fd0\u7b97\u540e\u7684\u7ed3\u679c\u5c31\u4e3a 1\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u8f6c\u5316\u4e3a\u901a\u4fd7\u7684\u5224\u5b9a\u6761\u4ef6\uff1a<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u8f93\u51fa\u56fe\u50cf\u4e2d\u7684\u4efb\u610f\u5750\u6807 (x,y)\uff0c\u53ea\u8981\u539f\u56fe\u4e2d <strong>\u5f53\u524d\u70b9\u4e3a 1 \u6216 \u5176\u6b63\u4e0b\u65b9\u70b9\u4e3a 1 \u6216 \u5176\u6b63\u53f3\u4fa7\u70b9\u4e3a 1<\/strong>\uff0c\u8f93\u51fa\u5373\u4e3a 1\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u9010\u884c\u626b\u63cf\u539f\u56fe X \u8fdb\u884c\u5224\u5b9a\uff1a<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u7b2c 1 \u884c\uff1a<\/strong>\n<ul class=\"wp-block-list\">\n<li>(1,1)\uff1a\u81ea\u8eab\u4e3a 0\uff0c\u4e0b\u65b9\u4e3a 0\uff0c\u53f3\u4fa7\u4e3a 0\uff0c\u7ed3\u679c\u4e3a 0\u3002<\/li>\n\n\n\n<li>(1,2)\uff1a\u81ea\u8eab\u4e3a 0\uff0c<strong>\u53f3\u4fa7 (1,3) \u4e3a 1<\/strong>\uff0c\u7ed3\u679c\u4e3a 1\u3002<\/li>\n\n\n\n<li>(1,3)\uff1a\u81ea\u8eab\u4e3a 1\uff0c\u7ed3\u679c\u4e3a 1\u3002<\/li>\n\n\n\n<li>(1,4)\uff1a\u81ea\u8eab\u4e3a 1\uff0c\u7ed3\u679c\u4e3a 1\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u7b2c 2 \u884c\uff1a<\/strong>\n<ul class=\"wp-block-list\">\n<li>(2,1)\uff1a\u81ea\u8eab\u4e3a 0\uff0c<strong>\u4e0b\u65b9 (3,1) \u4e3a 1<\/strong>\uff0c\u7ed3\u679c\u4e3a 1\u3002<\/li>\n\n\n\n<li>(2,2)\uff1a\u81ea\u8eab\u4e3a 1\uff0c\u7ed3\u679c\u4e3a 1\u3002<\/li>\n\n\n\n<li>(2,3)\uff1a\u81ea\u8eab\u4e3a 1\uff0c\u7ed3\u679c\u4e3a 1\u3002<\/li>\n\n\n\n<li>(2,4)\uff1a\u81ea\u8eab\u4e3a 0\uff0c\u4e0b\u65b9\u4e3a 0\uff0c\u53f3\u4fa7\u8d8a\u754c\uff0c\u7ed3\u679c\u4e3a 0\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u7b2c 3 \u884c\uff1a<\/strong>\n<ul class=\"wp-block-list\">\n<li>(3,1)\uff1a\u81ea\u8eab\u4e3a 1\uff0c\u7ed3\u679c\u4e3a 1\u3002<\/li>\n\n\n\n<li>(3,2)\uff1a\u81ea\u8eab\u4e3a 1\uff0c\u7ed3\u679c\u4e3a 1\u3002<\/li>\n\n\n\n<li>(3,3)\uff1a\u81ea\u8eab\u4e3a 1\uff0c\u7ed3\u679c\u4e3a 1\u3002<\/li>\n\n\n\n<li>(3,4)\uff1a\u81ea\u8eab\u4e3a 0\uff0c\u4e0b\u65b9\u4e3a 0\uff0c\u53f3\u4fa7\u8d8a\u754c\uff0c\u7ed3\u679c\u4e3a 0\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u7b2c 4 \u884c\uff1a<\/strong>\n<ul class=\"wp-block-list\">\n<li>(4,1)\uff1a\u81ea\u8eab\u4e3a 0\uff0c<strong>\u53f3\u4fa7 (4,2) \u4e3a 1<\/strong>\uff0c\u7ed3\u679c\u4e3a 1\u3002<\/li>\n\n\n\n<li>(4,2)\uff1a\u81ea\u8eab\u4e3a 1\uff0c\u7ed3\u679c\u4e3a 1\u3002<\/li>\n\n\n\n<li>(4,3)\uff1a\u81ea\u8eab\u4e3a 1\uff0c\u7ed3\u679c\u4e3a 1\u3002<\/li>\n\n\n\n<li>(4,4)\uff1a\u81ea\u8eab\u4e3a 0\uff0c\u4e0b\u65b9\u8d8a\u754c\uff0c\u53f3\u4fa7\u8d8a\u754c\uff0c\u7ed3\u679c\u4e3a 0\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ecf\u8fc7\u81a8\u80c0\u8fd0\u7b97\u540e\uff0c\u5f97\u5230<strong>\u6700\u7ec8\u81a8\u80c0\u7ed3\u679c\u77e9\u9635<\/strong>\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">X\\oplus B=\\begin{bmatrix}0&amp;1&amp;1&amp;1\\\\1&amp;1&amp;1&amp;0\\\\1&amp;1&amp;1&amp;0\\\\1&amp;1&amp;1&amp;0\\end{bmatrix}<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e03\u4e03\u516b\u516b \u4e00\u3001 \u56fe\u50cf\u57fa\u672c\u6982\u5ff5\u4e0e\u5b58\u50a8 \u6570\u5b57\u56fe\u50cf\u662f\u6307\u7531\u88ab\u79f0\u4f5c\u50cf\u7d20\u7684\u5c0f\u5757\u533a\u57df\u7ec4\u6210\u7684\u4e8c\u7ef4\u77e9\u9635\u3002\u5c06\u7269\u7406\u56fe\u50cf\u884c\u5217\u5212\u5206\u540e\uff0c\u6bcf [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[],"class_list":["post-466","post","type-post","status-publish","format-standard","hentry","category-others"],"_links":{"self":[{"href":"https:\/\/www.millscience.cn\/index.php\/wp-json\/wp\/v2\/posts\/466","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.millscience.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.millscience.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.millscience.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.millscience.cn\/index.php\/wp-json\/wp\/v2\/comments?post=466"}],"version-history":[{"count":2,"href":"https:\/\/www.millscience.cn\/index.php\/wp-json\/wp\/v2\/posts\/466\/revisions"}],"predecessor-version":[{"id":478,"href":"https:\/\/www.millscience.cn\/index.php\/wp-json\/wp\/v2\/posts\/466\/revisions\/478"}],"wp:attachment":[{"href":"https:\/\/www.millscience.cn\/index.php\/wp-json\/wp\/v2\/media?parent=466"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.millscience.cn\/index.php\/wp-json\/wp\/v2\/categories?post=466"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.millscience.cn\/index.php\/wp-json\/wp\/v2\/tags?post=466"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}