{"id":542,"date":"2021-02-18T23:02:26","date_gmt":"2021-02-18T15:02:26","guid":{"rendered":"https:\/\/rayray.moe\/?p=542"},"modified":"2026-02-21T19:12:21","modified_gmt":"2026-02-21T11:12:21","slug":"%e7%bb%95%e8%bd%ac%e7%9f%a9%e9%98%b5%e5%92%8c%e5%9d%90%e6%a0%87%e5%8f%98%e6%8d%a2%e7%9f%a9%e9%98%b5","status":"publish","type":"post","link":"https:\/\/rayray.moe\/?p=542","title":{"rendered":"\u7ed5\u8f6c\u77e9\u9635\u548c\u5750\u6807\u53d8\u6362\u77e9\u9635"},"content":{"rendered":"

\u6700\u8fd1\u5728\u7814\u7a76\u539f\u5b50\u5750\u6807\u53d8\u6362\u7684\u65f6\u5019\u7528\u5230\u4e86\u4e24\u4e2a\u77e9\u9635\uff0c\u5c31\u8bb0\u5f55\u4e00\u4e0b\u3002<\/p>\n

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  1. \u7ed5\u8f6c<\/li>\n<\/ol>\n

    \u9f50\u6b21\u5750\u6807\u7cfb<\/a><\/p>\n

    import numpy as np\n\n# \u9700\u8981\u4f7f\u75284 x 1\u7684\u9f50\u6b21\u5750\u6807\u7cfb\uff0c\u6240\u4ee5\u8981\u628a\u4e09\u7ef4\u5217\u8865\u4e0a\u4e00\u884c\uff08\u89c1\u7b2c\u4e8c\u53e5\uff09\n# theta: \u7ed5\u8f6c\u89d2\uff1bu,v,w: \u5f52\u4e00\u5316\u7684\u7ed5\u8f6c\u5411\u91cf\uff08\u65cb\u8f6c\u5e73\u9762\u6cd5\u5411\u91cf\uff0c\u901a\u8fc7np.cross()\u83b7\u5f97\uff09\n\n\nrotationMatrix = np.array([[np.square(u)+(1-np.square(u))*np.cos(theta),u*v*(1-np.cos(theta))-w*np.sin(theta),u*w*(1-np.cos(theta))+v*np.sin(theta),0],\n                           [u*v*(1-np.cos(theta))+w*np.sin(theta),np.square(v)+(1-np.square(v))*np.cos(theta),v*w*(1-np.cos(theta))-u*np.sin(theta),0],\n                           [u*w*(1-np.cos(theta))-v*np.sin(theta),v*w*(1-np.cos(theta))+u*np.sin(theta),np.square(w)+(1-np.square(w))*np.cos(theta),0],\n                           [0,0,0,1]])\ncoordinationMatrix_added = np.r_[coordinationMatrix,np.array([[1]])]\n\nnewCoordMatrix = np.dot(rotationMartix, coordinationMatrix_added)\n<\/code><\/pre>\n
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    1. \u76f8\u5bf9\u5750\u6807\u4e0e\u7edd\u5bf9\u5750\u6807\u53d8\u6362<\/li>\n<\/ol>\n
      import numpy as np\n\n# oldCoordinate: oldX, oldY, oldZ\n# newCoordinate: newX, newY, newZ\n# a, b, c\n# alpha, beta, gamma\nconversionMatrix = np.array([[a, b * np.cos(gamma), c * np.cos(beta)],\n                             [0, b * np.sin(gamma), c * (np.cos(alpha) - np.cos(beta) * np.cos(gamma)) \/ np.sin(gamma)],\n                             [0, 0, c * np.sqrt(np.sin(beta) * np.sin(beta) - np.power(\n                               (np.cos(alpha) - np.cos(beta) * np.cos(gamma)) \/ np.sin(gamma), 2))]])\n\n<\/code><\/pre>\n
      \"\"<\/p>\n","protected":false},"excerpt":{"rendered":"
      \u6700\u8fd1\u5728\u7814\u7a76\u539f\u5b50\u5750\u6807\u53d8\u6362\u7684\u65f6\u5019\u7528\u5230\u4e86\u4e24\u4e2a\u77e9\u9635\uff0c\u5c31\u8bb0\u5f55\u4e00\u4e0b\u3002 \u7ed5\u8f6c \u9f50\u6b21\u5750 …<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[30],"tags":[32],"class_list":["post-542","post","type-post","status-publish","format-standard","hentry","category-notes","tag-32"],"_links":{"self":[{"href":"https:\/\/rayray.moe\/index.php?rest_route=\/wp\/v2\/posts\/542","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/rayray.moe\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/rayray.moe\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/rayray.moe\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/rayray.moe\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=542"}],"version-history":[{"count":1,"href":"https:\/\/rayray.moe\/index.php?rest_route=\/wp\/v2\/posts\/542\/revisions"}],"predecessor-version":[{"id":543,"href":"https:\/\/rayray.moe\/index.php?rest_route=\/wp\/v2\/posts\/542\/revisions\/543"}],"wp:attachment":[{"href":"https:\/\/rayray.moe\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=542"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/rayray.moe\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=542"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/rayray.moe\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=542"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}