{"id":335,"date":"2017-11-26T19:13:06","date_gmt":"2017-11-26T11:13:06","guid":{"rendered":"http:\/\/119.29.206.68\/?p=335"},"modified":"2017-11-30T16:18:23","modified_gmt":"2017-11-30T08:18:23","slug":"%e4%ba%8c%e7%bb%b4%e5%9d%90%e6%a0%87%e7%9a%84%e6%97%8b%e8%bd%ac%e5%b9%b3%e7%a7%bb%e7%bc%a9%e6%94%be","status":"publish","type":"post","link":"http:\/\/www.whudj.cn\/?p=335","title":{"rendered":"\u4e8c\u7ef4\u5750\u6807\u7684\u65cb\u8f6c\u5e73\u79fb\u7f29\u653e"},"content":{"rendered":"

\u672c\u6587\u539f\u6765\u53d1\u5e03\u5728cnblogs\u4e0a\uff0c\u73b0\u5728\u79fb\u52a8\u5230\u6211\u4e2a\u4eba\u535a\u5ba2,\u5e76\u8fdb\u884c\u4e86\u4e00\u4e9b\u4fee\u6539\u3002<\/p>\n

1.\u5750\u6807\u8868\u8fbe\u5f62\u5f0f<\/h4>\n

\u53ef\u4ee5\u5c06\u4e8c\u7ef4\u5750\u6807\u8868\u8fbe\u4e3a\u77e9\u9635\u00a0\\( p=[x,y,1]^T \\)\u5f62\u5f0f\uff0c\u5176\u4e2d,x,y\u4e3a\u4e8c\u7ef4\u5750\u6807\uff0c1\u4e3a\u5bf9\u4e8c\u7ef4\u5750\u6807\u7684\u4e09\u7ef4\u6269\u5145\uff0c\u5373\u5c06\u4e8c\u7ef4\u5750\u6807\u5e73\u9762\u4e0a\u7684\u70b9\u79fb\u52a8\u5230\u4e09\u7ef4\u5750\u6807\u9762\\(z=1\\)\u4e0a\u6765\uff0c\u8fd9\u6837\u7684\u53d8\u5316\u5e76\u6ca1\u6539\u53d8\u56fe\u5f62\u7684\u5f62\u72b6\uff0c\u8fd9\u79cd\u53d8\u5316\u53eb\u505a\u9f50\u6b21\u53d8\u6362\u3002<\/p>\n

2.\u5e73\u79fb<\/h4>\n

p\u70b9\u79fb\u52a8\\((dx,dy)\\)\u00a0\u53ef\u4ee5\u7528\u5982\u4e0b\u5173\u7cfb\u8868\u793a\uff1a$$pt’ = \\begin{bmatrix} 1 & 0 & dx \\\\ 0 & 1 & dy \\\\ 0 & 0& 1\\end{bmatrix}\\begin{bmatrix}x \\\\ y\\\\ 1\\end{bmatrix}=\\begin{bmatrix}x+dx \\\\ y+dy \\\\ 1 \\end{bmatrix}$$<\/p>\n

3.\u7f29\u653e<\/h4>\n

p\u70b9x,y\u5750\u6807\u5206\u522b\u7f29\u653e\\(s_x,s_y\\)\u00a0\u53ef\u7528\u5982\u4e0b\u5173\u7cfb\u8868\u793a\uff1a$$pt’ =\u00a0\\begin{bmatrix} s_x& 0&0 \\\\ 0& s_y & 0 \\\\ 0 & 0& 1\\end{bmatrix}\\begin{bmatrix}x \\\\ y\\\\ 1\\end{bmatrix}=\\begin{bmatrix}s_x x \\\\ s_y y \\\\ 1\\end{bmatrix}$$<\/p>\n

4.\u65cb\u8f6c<\/p>\n

p\u00a0\u70b9\u7ed5\u539f\u70b9\u9006\u65f6\u9488\u65cb\u8f6c\u89d2\u5ea6t\uff0c\u53ef\u4ee5\u7528\u5982\u4e0b\u5173\u7cfb\u8868\u793a\uff1a$$pt’ =\u00a0\\begin{bmatrix}\u00a0cos(t)& -sin(t)&0 \\\\ sin(t)& cos(t) & 0 \\\\ 0 & 0& 1\\end{bmatrix}\\begin{bmatrix}x \\\\ y\\\\ 1\\end{bmatrix}$$<\/p>\n

5.\u7efc\u5408<\/h4>\n

\u5f53\u5750\u6807\u70b9\\(A(x,y)\\)\u9700\u8981\u76f8\u5bf9\u67d0\u4e00\u70b9\\((x_1,y_1)\\)\u65cb\u8f6c\u89d2\u5ea6t\u65f6\uff0c\u9996\u5148\u8981\u5c06\u5750\u6807\u539f\u70b9\u79fb\u52a8\u5230\u6b64\u70b9\uff0c\u610f\u5373\uff0c\u9996\u5148\u5c06\u8981\u65cb\u8f6c\u7684\u70b9\u6295\u5f71\u5230\u4ee5\u53c2\u8003\u70b9\u4e3a\u539f\u70b9\u7684\u5750\u6807\u7cfb\uff0c\u65cb\u8f6c\u540e\uff0c\u518d\u6295\u5f71\u56de\u539f\u5750\u6807\u7cfb\uff0c\u4e24\u4e2a\u5750\u6807\u7cfb\u5b58\u5728\u5e73\u79fb\u5173\u7cfb\u3002\u9996\u5148\u5c06\u70b9A\u79fb\u52a8\\((-x_1,-y_1)\\),\u7136\u540e\u65cb\u8f6c\u89d2\u5ea6t,\u7136\u540e\u79fb\u52a8\\((x_1,y_1)\\)\uff0c\u4e09\u8005\u987a\u5e8f\u4e0d\u80fd\u98a0\u5012\u3002<\/p>\n

$$A’ = \u00a0\\begin{bmatrix}1 & 0 & x_1 \\\\ 0 & 1 & y_1 \\\\ 0 &0 &1\u00a0\\end{bmatrix}\\begin{bmatrix}\u00a0cos(t)& -sin(t)&0 \\\\ sin(t)& cos(t) & 0 \\\\ 0 & 0& 1\\end{bmatrix}\\begin{bmatrix}1 & 0 & -x_1 \\\\ 0 & 1 & -y_1 \\\\ 0 &0 &1\\end{bmatrix}\\begin{bmatrix} x \\\\ y \\\\ 1\\end{bmatrix}$$<\/p>\n

\u6ce8\u610f\uff1a\u53d8\u6362\u7684\u987a\u5e8f\u662f\u4ece\u53f3\u5230\u5de6\u7684\uff0c\u548c\u5750\u6807\u6700\u8fd1\u7684\u53d8\u6362\u77e9\u9635\u5148\u6267\u884c\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u672c\u6587\u539f\u6765\u53d1\u5e03\u5728cnblogs\u4e0a\uff0c\u73b0\u5728\u79fb\u52a8\u5230\u6211\u4e2a\u4eba\u535a\u5ba2,\u5e76\u8fdb\u884c\u4e86\u4e00\u4e9b\u4fee\u6539\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15],"tags":[],"_links":{"self":[{"href":"http:\/\/www.whudj.cn\/index.php?rest_route=\/wp\/v2\/posts\/335"}],"collection":[{"href":"http:\/\/www.whudj.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.whudj.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.whudj.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.whudj.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=335"}],"version-history":[{"count":13,"href":"http:\/\/www.whudj.cn\/index.php?rest_route=\/wp\/v2\/posts\/335\/revisions"}],"predecessor-version":[{"id":390,"href":"http:\/\/www.whudj.cn\/index.php?rest_route=\/wp\/v2\/posts\/335\/revisions\/390"}],"wp:attachment":[{"href":"http:\/\/www.whudj.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=335"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.whudj.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=335"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.whudj.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=335"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}