求助：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！！ 将x看作因变量，y、z为自变量：
x = p1+p2*z+p3*Exp(-0.5*((y-p4)/p5)^2);
p1 16.6462185832468
p2 -0.00229226168361568
p3 -3.79497705846567
p4 1.81086694299024
p5 0.520466292917289 楼上的，能不能具体点，怎么求p1,P2,p3,p4,p5,能把你的程序发上来吗？ 对这类拟合问题，用1stOpt，不用编程，也不用猜初值。 谢谢
试试看 没找到这个函数，能不能把你的程序直接发上来，谢谢啦 这个函数是不是哪个工具箱里的啊，怎么我找不到呢 是个独立的优化软件，论坛已有些介绍。 1stOpt 优化软件啊，看看
我有组测绘数据，假定方程很麻烦
谢谢
to dingd很感谢。请问能让拟合的曲面更接近于数据点吗 如果想100％吻合，可考虑用神经网络来拟合。 哦
你还在吗，楼上的大侠
很想问你几个问题 to dingd
请问你有1stOpt的软件么，在网上找了很久找不到？
可以传一份给我吗，谢谢
我的邮箱：dtyazlm@yahoo.com.cn
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