如何把离散点拟合为光滑曲面并得到方程
各位高手、大侠们：小弟遇到一棘手问题，恳请大家帮忙！
马上就要写论文了，迫切需要曲面的方程，很着急，如有高手能抽时间看一下我的数据,提点建议，小弟不胜感激。数据如下，按z向坐标，这些数据可分为11层，每一层都是21个点:
x y z
13.0044696 2.05963021 13.8
13.0490684 1.89011848 13.8
13.1272623 1.73188664 13.8
13.2357864 1.59223748 13.8
13.3699352 1.47749755 13.8
13.524613 1.39197574 13.8
13.6931075 1.33930283 13.8
13.8688601 1.32157422 13.8
14.1270913 1.32195656 13.8
14.3823859 1.30911225 13.8
14.6344467 1.27260632 13.8
14.883585 1.21522649 13.8
15.1284864 1.14226302 13.8
15.3695332 1.05849668 13.8
15.6078169 0.96620071 13.8
15.8432355 0.86643117 13.8
16.0758525 0.75982344 13.8
16.3054819 0.64662781 13.8
16.5315845 0.52600994 13.8
16.5374905 0.263067978 13.8
16.5395208 0 13.8
13.0067505 2.05987924 12.4
13.0513621 1.89042583 12.4
13.1295751 1.73229582 12.4
13.2380474 1.59278193 12.4
13.3720852 1.47815604 12.4
13.5265852 1.3926979 12.4
13.6948784 1.33998713 12.4
13.8705061 1.32212398 12.4
14.1286512 1.32234243 12.4
14.3839074 1.30936678 12.4
14.6359317 1.27279276 12.4
14.8849984 1.21540125 12.4
15.1298003 1.14243454 12.4
15.3707537 1.0586896 12.4
15.6089549 0.96643961 12.4
15.8443189 0.8667783 12.4
16.0768089 0.76035666 12.4
16.3062224 0.64709045 12.4
16.5324166 0.52612075 12.4
16.538635 0.262980025 12.4
16.540854 0 12.4
13.0092707 2.06008928 11
13.0538611 1.8905324 11
13.1320089 1.73222884 11
13.2405078 1.59247661 11
13.3746555 1.47761043 11
13.5293733 1.39198139 11
13.6979189 1.3392276 11
13.8737268 1.32145854 11
14.1319741 1.32179168 11
14.387195 1.30893896 11
14.6391021 1.27242841 11
14.8880374 1.21503988 11
15.1327095 1.14211092 11
15.373524 1.05837408 11
15.6115806 0.966115 11
15.8467729 0.86635665 11
16.0791814 0.75971046 11
16.3086993 0.64658803 11
16.5346766 0.52619587 11
16.5402717 0.26319896 11
16.5422466 0 11
13.017122 2.06101067 9.6
13.0618067 1.89169509 9.6
13.1401948 1.73374436 9.6
13.2487414 1.59452394 9.6
13.3827673 1.48025177 9.6
13.5371113 1.39505544 9.6
13.7051266 1.34241269 9.6
13.88054 1.32455697 9.6
14.1383068 1.32498784 9.6
14.3932339 1.31208433 9.6
14.6449518 1.27574297 9.6
14.8937354 1.21851236 9.6
15.1382763 1.14563498 9.6
15.3789768 1.06203668 9.6
15.616887 0.9697916 9.6
15.8519687 0.87017098 9.6
16.0841579 0.76376151 9.6
16.3131087 0.64980265 9.6
16.5389971 0.52702362 9.6
16.5458722 0.26336451 9.6
16.5482727 0 9.6
13.0229399 2.06165775 8.2
13.0677196 1.89250526 8.2
13.1457131 1.73463639 8.2
13.2541864 1.59532313 8.2
13.3881714 1.4811081 8.2
13.5422251 1.39548194 8.2
13.7102482 1.34271784 8.2
13.885709 1.32481954 8.2
14.1435012 1.32545383 8.2
14.3983427 1.3127061 8.2
14.6499301 1.2769147 8.2
14.8985625 1.2200172 8.2
15.1428947 1.1473607 8.2
15.3833638 1.0639987 8.2
15.6209777 0.9716217 8.2
15.8558041 0.8720168 8.2
16.0877135 0.76539667 8.2
16.3164015 0.65146788 8.2
16.5416267 0.52764307 8.2
16.5474447 0.26359153 8.2
16.5507692 0 8.2
13.0257705 2.06202153 6.8
13.0701869 1.89288871 6.8
13.1481719 1.73491569 6.8
13.2565235 1.59544587 6.8
13.3905839 1.48109002 6.8
13.5448521 1.39564361 6.8
13.7131571 1.3433951 6.8
13.888474 1.3255625 6.8
14.1462354 1.3261922 6.8
14.4010652 1.3134608 6.8
14.6526237 1.2776042 6.8
14.9011978 1.2206309 6.8
15.1454257 1.1479123 6.8
15.3857371 1.0644159 6.8
15.6231457 0.9719083 6.8
15.8577241 0.8720492 6.8
16.0893927 0.76522234 6.8
16.3178982 0.65109023 6.8
16.5430717 0.52756029 6.8
16.5487627 0.26360465 6.8
16.5516746 0.0002 6.8
13.027002 2.06239745 5.4
13.0714913 1.89313565 5.4
13.1495137 1.73518576 5.4
13.2578947 1.59569793 5.4
13.3920581 1.4814023 5.4
13.5464056 1.3961169 5.4
13.7149455 1.3440866 5.4
13.8901549 1.3263191 5.4
14.1477996 1.3267881 5.4
14.4025825 1.3139338 5.4
14.654102 1.2780009 5.4
14.9026268 1.2209295 5.4
15.1467982 1.1480652 5.4
15.3870799 1.064448 5.4
15.6244965 0.9719039 5.4
15.8590973 0.8720912 5.4
16.0907943 0.76530974 5.4
16.3193151 0.65128888 5.4
16.5443916 0.52763744 5.4
16.5500352 0.26360964 5.4
16.5529589 -0.0002 5.4
13.0285877 2.0624736 4
13.0730015 1.89343196 4
13.1508849 1.7355225 4
13.2592228 1.596127 4
13.3932944 1.4818877 4
13.5475116 1.3966804 4
13.7158299 1.3444781 4
13.8910108 1.3266817 4
14.1486613 1.327153 4
14.4034607 1.314206 4
14.6550008 1.2782445 4
14.9035322 1.2212682 4
15.1476999 1.1484895 4
15.3879504 1.0649439 4
15.6253044 0.9724016 4
15.8598285 0.8724991 4
16.0914363 0.7656414 4
16.3198947 0.65148092 4
16.5449764 0.52780514 4
16.5504319 0.26379337 4
16.5530251 -0.0002 4
13.0285629 2.0623368 2.6
13.0730273 1.89305527 2.6
13.1510057 1.7350543 2.6
13.259371 1.5955375 2.6
13.3934918 1.48115589 2.6
13.5478479 1.39569307 2.6
13.7163638 1.3435555 2.6
13.8916291 1.3259279 2.6
14.1492229 1.3267733 2.6
14.4038513 1.3140227 2.6
14.6552444 1.2781472 2.6
14.9037117 1.221295 2.6
15.1478228 1.1485833 2.6
15.3880454 1.0650951 2.6
15.6254036 0.9726298 2.6
15.8599337 0.8728105 2.6
16.0916081 0.7659131 2.6
16.3201596 0.65188658 2.6
16.5453154 0.52780264 2.6
16.5511322 0.26367869 2.6
16.5541204 -0.0001 2.6
13.0302935 2.06261089 1.2
13.0744498 1.8939664 1.2
13.1521239 1.7363318 1.2
13.2601861 1.5970862 1.2
13.393905 1.4830348 1.2
13.5476147 1.3974946 1.2
13.7156029 1.3451225 1.2
13.8905303 1.3269304 1.2
14.1479814 1.3271048 1.2
14.402671 1.3139423 1.2
14.6541062 1.2779696 1.2
14.9025115 1.2207982 1.2
15.1466393 1.147884 1.2
15.3869249 1.0642773 1.2
15.6243891 0.9718813 1.2
15.8590339 0.8722378 1.2
16.0906189 0.7657392 1.2
16.3187832 0.65109706 1.2
16.5438091 0.5277219 1.2
16.5491008 0.26385475 1.2
16.5512044 0 1.2
13.0235402 2.0616922 -0.2
13.0685179 1.89201803 -0.2
13.1469447 1.73380397 -0.2
13.2554988 1.59421547 -0.2
13.3896375 1.47942474 -0.2
13.5443532 1.39382456 -0.2
13.7128674 1.34115185 -0.2
13.888575 1.32357741 -0.2
14.1464199 1.32401236 -0.2
14.4011176 1.31132073 -0.2
14.6524688 1.27483551 -0.2
14.9009228 1.21755708 -0.2
15.1450764 1.14478062 -0.2
15.3853254 1.06107894 -0.2
15.6228031 0.96884012 -0.2
15.8573704 0.86903276 -0.2
16.0891078 0.76223967 -0.2
16.3178654 0.64796543 -0.2
16.5434788 0.52683629 -0.2
16.5488394 0.26342812 -0.2
16.5507845 0 -0.2
matlab我刚接触，极度菜鸟，麻烦高手在指点时，尽量详细点，实在不好意思。
甚为感谢！！
[ 本帖最后由 eight 于 2008-1-22 17:37 编辑 ] 我最近也遇到这个 问题，书上都没有讲，不懂，哪位高手指点一下，如何把离散点拟合成曲面？ http://forum.vibunion.com/thread-1005-1-1.html
我从搜索中查到的，不过还没有进行尝试，你也看看吧
[ 本帖最后由 eight 于 2008-1-22 16:48 编辑 ] 要想效果好还是利用支持向量机来做.要么就用神经网来拟合. 还是不会 啊，看了半天也没明白
楼上的，能不能发个程序给我，你说的那两个我都不会的
求教
那请问对于楼主的那个东东,要把它画出来,具体的程序是怎么样的? 原帖由 mhl516 于 2006-8-21 11:17 发表http://forum.vibunion.com/thread-1005-1-1.html
我从搜索中查到的，不过还没有进行尝试，你也看看吧
这个函数包做简单的拟合还是可以的，具体看里边的说明readme.doc 这个我正在看
还没搞懂 原帖由 海天天 于 2006-8-24 21:08 发表
这个我正在看
还没搞懂
基本原理在数值分析里边有 to happy
我要做的是一个渐开线曲面，能做出来吗 用1stopt的“快速公式搜索拟合”功能 原帖由 mhl516 于 2006-8-21 11:17 发表http://forum.vibunion.com/thread-1005-1-1.html
我从搜索中查到的，不过还没有进行尝试，你也看看吧 麻烦把上面的连接 改下 。。。 原帖由 qiuqia17 于 2008-1-18 19:39 发表
麻烦把上面的连接 改下 。。。 已经修正
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