{"id":1020,"date":"2014-10-10T21:23:09","date_gmt":"2014-10-10T13:23:09","guid":{"rendered":"http:\/\/www.storagelab.org.cn\/zhangdi\/?p=1020"},"modified":"2014-10-10T21:23:09","modified_gmt":"2014-10-10T13:23:09","slug":"d3%e5%8f%af%e8%a7%86%e5%8c%96%e5%ae%9e%e6%88%9803%ef%bc%9a%e7%a5%9e%e5%a5%87%e7%9a%84superformula","status":"publish","type":"post","link":"https:\/\/www.divis.cn\/index.php\/2014\/10\/10\/d3%e5%8f%af%e8%a7%86%e5%8c%96%e5%ae%9e%e6%88%9803%ef%bc%9a%e7%a5%9e%e5%a5%87%e7%9a%84superformula\/","title":{"rendered":"d3\u53ef\u89c6\u5316\u5b9e\u621803\uff1a\u795e\u5947\u7684superformula"},"content":{"rendered":"

\u9700\u6c42\u9a71\u52a8\u5b9e\u73b0<\/h2>\n

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about\u8d85\u7ea7\u65b9\u7a0b\u5f0f<\/h2>\n

\"superfomula3D\"<\/a><\/p>\n

\u6211\u4eec\u77e5\u9053\uff0c\u5f88\u591a\u6570\u5b66\u51fd\u6570\u90fd\u53ef\u4ee5\u7528\u89e3\u6790\u5f0f\u7684\u65b9\u5f0f\u8868\u793a\uff0c\u4ea6\u53ef\u6839\u636e\u53d8\u91cf\u548c\u81ea\u53d8\u91cf\u7684\u503c\u5728\u4e0d\u540c\u5750\u6807\u7cfb\u4e0b\u7ed8\u6210\u5404\u79cd\u56fe\u5f62\u3002Johan Gielis\u535a\u58eb\u63d0\u51fa\u4e86\u4e00\u4e2a\u51fd\u6570\uff0c\u53ef\u4ee5\u63cf\u8ff0\u81ea\u7136\u754c\u4e2d\u53d1\u73b0\u7684\u4f17\u591a\u590d\u6742\u56fe\u5f62\u548c\u66f2\u7ebf\uff0c\u5b83\u5c31\u662f\u8d85\u7ea7\u65b9\u7a0b\u5f0fsuperfomula<\/a>\u3002<\/p>\n

\u8d85\u7ea7\u65b9\u5f0f\u7684\u89e3\u6790\u5f0f\u5982\u4e0b\uff1a<\/p>\n

\"r\\left(\\varphi\\right)<\/p>\n

\u5728\u6781\u5750\u6807\u7cfb\u4e0b\uff0cr\u4ee3\u8868\u534a\u5f84\uff0c\"\\varphi\"\u4ee3\u8868\u89d2\u5ea6\uff0ca,b,m,n1,n2,n3\u662f\u53ef\u53d8\u53c2\u6570\u3002\u901a\u8fc7\u8c03\u6574\u53c2\u6570\u7684\u503c\uff0c\u5c31\u53ef\u4ee5\u7ed8\u51fa\u5404\u79cd\u56fe\u5f62\u3002\u4e0b\u56fe\u5c55\u793a\u4e86a=b=1\u7684\u60c5\u51b5\u4e0b\uff0cm,n1,n2,n3\u53d6\u4e0d\u540c\u503c\u7684\u65f6\u5019superfomula<\/a>\u6240\u5c55\u793a\u7684\u56fe\u5f62\uff1a<\/p>\n

\"\"<\/a><\/p>\n

\u53ea\u901a\u8fc7\u63a7\u5236\u8fd9\u4e9b\u53c2\u6570\uff0c\u5c31\u80fd\u5728\u6781\u5750\u6807\u7cfb\u4e0b\u7ed8\u5236\u5982\u6b64\u4e0d\u540c\u7684\u5404\u79cd2D\u56fe\u5f62\uff0c\u662f\u4e0d\u662f\u5f88\u795e\u5947\uff1f\u8fd9\u5c31\u662f\u6570\u5b66\u8fd9\u4e00\u81ea\u7136\u79d1\u5b66\u7684\u738b\u51a0\u5b66\u79d1\u7684\u9b45\u529b\u3002<\/p>\n

\u5173\u4e8esuperfomula\u7684\u66f4\u591a\u4ecb\u7ecd\uff1a<\/p>\n

superfomula<\/a>\u7684\u53d1\u8868\u8005Johan Gielis<\/a>\u535a\u58eb\uff081962-\uff09\u539f\u672c\u7684\u7814\u7a76\u65b9\u5411\u662f\u56ed\u827a\u5de5\u7a0b\u548c\u751f\u7269\u5b66\u3002\u5728\u4ed6\u7684\u65e9\u671f\u7814\u7a76\u9636\u6bb5\u4ed6\u5c31\u611f\u5174\u8da3\u4e8e\u4f7f\u7528\u6570\u5b66\u6a21\u578b\u8868\u5f81\u751f\u7269\u751f\u957f\u6027\u72b6\u30021994\u5e74\u53d1\u8868\u7684\u8bba\u6587\u4e2d\u4ed6\u5c31\u5f00\u59cb\u5f00\u59cb\u4f7f\u7528\u66f2\u7ebf\u63cf\u8ff0\u81ea\u7136\u5f62\u72b6\uff0c\u57281997\u5e74\u7684\u8bba\u6587\u4e2d\u4ed6\u53d1\u73b0\u5e7f\u4e49\u7684\u66f2\u7ebf\u6a21\u578b\u9002\u7528\u4e8e\u4efb\u4f55\u5bf9\u79f0\u5f62\u72b6\u3002\u57282003\u5e74\u53d1\u8868\u4e8e\u7f8e\u56fd\u690d\u7269\u5b66\u6742\u5fd7\u4e0a\u7684\u8bba\u6587A generic geometric transformation that unifies a large range of natural and abstract shapes<\/a>\u4e2d\uff0c\u4ed6\u63d0\u51fa\u4e86superfomula<\/a>\u3002superfomula<\/a>\u662f\u8d85\u7ea7\u692d\u5706\u516c\u5f0fsuperellipse<\/a>\u7684\u6269\u5c55\uff0c\u4f46\u5177\u6709\u66f4\u5e7f\u6cdb\u7684\u5b9e\u7528\u6027\u3002\u6b64\u540e\u6570\u767e\u7bc7\u8bba\u6587\u90fd\u5f15\u7528\u4e86superfomula\uff0c\u5e76\u4e14\u4ee5superfomula\u4e3a\u6307\u5bfc\u7684\u8ba1\u7b97\u673a\u7ed8\u56fe\u7a0b\u5e8f\u4e5f\u968f\u4e4b\u51fa\u73b0\u30022004\u5e74johan Gielis\u535a\u58eb\u6536\u5230\u4e86InterTech\u6280\u672f\u521b\u65b0\u5353\u8d8a\u5956\uff0c\u8be5\u5956\u4e3b\u8981\u9881\u53d1\u7ed9\u5bf9\u5e73\u9762\u827a\u672f\u53ca\u76f8\u5173\u4ea7\u4e1a\u4ea7\u751f\u91cd\u5927\u5f71\u54cd\u7684\u6280\u672f\u53d1\u660e\u3002superfomula\u4ece\u751f\u7269\u6280\u672f\u7814\u7a76\u4e2d\u8bde\u751f\uff0c\u5728\u6570\u5b66\u9886\u57df\u4e2d\u5347\u534e\uff0c\u5e76\u6700\u7ec8\u5e94\u7528\u5230\u8ba1\u7b97\u673a\u3001\u5e73\u9762\u8bbe\u8ba1\u7b49\u9886\u57df\u3002\u53ef\u8c13\u662f\u8de8\u5b66\u79d1\u7814\u7a76\u5e94\u7528\u7684\u6700\u597d\u6848\u4f8b\u4e4b\u4e00\u3002<\/p>\n

superfomula\u4e5f\u53ef\u4ee5\u6269\u5c55\u52303\u7ef4\uff0c4\u7ef4\u751a\u81f3\u66f4\u591a\u7ef4\u5ea6\u3002\u4f8b\u59823\u7ef4\u60c5\u51b5\u4e0b\uff0c\u56fe\u5f62\u53ef\u4ee5\u901a\u8fc7\u4e24\u4e2asuperfomula r1, r2\u6765\u751f\u6210\u3002\u5176\u6781\u5750\u6807\u7cfb\u4e0e\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u4e4b\u95f4\u8f6c\u6362\u5173\u7cfb\u4e3a\uff1a<\/p>\n

\n
\"<\/dd>\n
\"<\/dd>\n
\"<\/dd>\n<\/dl>\n

\u5176\u4e2d\uff0c\"\\phi\"\u00a0\u53d8\u91cf\u503c\u57df\u4e3a[\u00a0-\u03c0\/2<\/i>\u00a0,\u00a0\u03c0\/2]<\/i>\u00a0(latitude<\/a>\u7ef4\u5ea6)\uff0c\u00a0\u03b8\u53d8\u91cf\u503c\u57df\u4e3a<\/i>\u00a0[\u00a0-\u03c0,\u00a0<\/i>\u03c0]<\/i>\u00a0(longitude<\/a>\u7cbe\u5ea6).<\/p>\n

 <\/p><\/blockquote>\n

\u6848\u4f8b\u53ca\u4ee3\u7801\u5b9e\u73b0<\/h2>\n

\u5728github\u4e0a\uff0c\u5df2\u7ecf\u6709\u4eba\u7528D3\u5b9e\u73b0\u4e86\u57fa\u4e8esuperfomula\u7684\u56fe\u5f62\u7ed8\u5236\u7a0b\u5e8f\u3002\u5927\u5bb6\u8bf7\u70b9\u51fb\u8fd9\u91cc\uff1ahttp:\/\/bl.ocks.org\/mbostock\/1021103<\/a>. \u8be5\u7a0b\u5e8f\u7684\u5173\u952e\u662f\u57fa\u4e8eD3\u7684superfomula\u5f00\u6e90\u63d2\u4ef6\u3002\u672c\u7740\u5b66\u4e60\u7684\u76ee\u7684\uff0c\u8fd9\u91cc\u4fdd\u5b58\u4e86\u8be5\u63d2\u4ef6\u7684\u6e90\u7801\uff0c\u4f60\u53ef\u4ee5\u590d\u5236\u5b83\u7136\u540e\u4fdd\u5b58\u4e3ad3-superfomula.js\u6765\u4f7f\u7528\uff1a<\/p>\n

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