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铜虫 (初入文坛)

应助: 0 (幼儿园)
金币: 2804.1
帖子: 27
在线: 153小时
虫号: 2770818
注册: 2013-11-01
专业: 应用数学方法

[求助] Matlab三维节点拟合出平滑曲面，并求拟合曲面与底部投影形成的体积以及投影面积已有1人参与

xyz对应一个三维节点，其中，x，y在区间12.2986，32.1627和-0.01501，15.01之间，这些坐标点的投影类似于一个矩形但不是规整矩形。要做的就是用Matlab将这些离散三维坐标点拟合成平滑曲面，并输出，然后再求拟合曲面与xy平面投影形成的体的体积V以及投影面积S（非曲面表面积），并求出体积与面积的比值k，最后输出V,S，k以及拟合的曲面图形。十分感谢！
x=[32.1627
31.9205
32.0458
32.1627
30.8352
30.8251
12.2989
14.8273
12.3338
17.0332
18.2188
12.2986
17.6889
17.9419
12.2986
12.7075
13.2105
13.602
12.6978
20.0169
14.6342
16.1137
19.6977
22.6292
20.9642
12.3732
12.9069
14.1518
28.893
24.2897
21.131
24.3706
24.6859
26.135
26.7915
13.4755
26.3406
18.3049
20.3203
20.2631
16.1909
16.675
19.3017
17.525
15.2609
15.1777
28.2581
18.3962
27.1121
19.6119
12.4861
14.3548
28.7731
24.591
24.615
30.3498
26.1956
23.1213
18.1902
13.1324
22.7624
29.3938
21.9788
15.6382
29.7121
20.3151
20.3993
27.667
12.2986
27.4807
14.9162
15.9848
13.0123
24.3901
26.3928
26.5571
16.4075
13.4092
14.3489
24.92
18.6198
26.576
22.2512
12.2986
13.9773
13.7856
28.1532
29.0473
31.0802
12.648
12.3018
32.1626
28.1899
26.0249
20.7724
19.9472
22.4036
23.781
16.5243
15.8744
17.1676
15.3425
18.6083
21.6033
16.6567
27.1909
21.5501
15.1864
25.2516
16.2692
16.429
25.2495
23.5908
27.7379
18.7545
32.1627
18.1306
22.5581
24.922
14.6318
18.9489
16.9661
23.464
20.4596
13.2834
32.1627
29.8362
18.2351
31.2916
];
y=[11.001
13.118
12.7395
11.9981
11.4595
9.63866
14.9312
14.4271
14.9398
13.4558
15.015
14.8304
14.587
15.015
13.5379
14.6055
14.9148
13.5426
13.1109
15.015
3.88499
-0.0121061
-0.0150068
11.1467
-0.0150069
10.7654
8.44332
5.1579
0.884019
2.91457
13.9361
-0.015007
12.1196
-0.015007
11.3829
6.9429
15.015
4.24061
8.82337
-0.0150069
11.7065
6.29494
0.927358
-0.0150068
2.23134
5.03782
-0.0150071
10.1095
-0.015007
5.4052
9.93337
11.3272
2.62877
14.0666
15.015
4.31262
4.62029
15.015
2.23861
10.716
13.1339
8.61825
4.23071
1.23579
6.49088
3.20716
12.5442
1.15321
13.1865
9.53356
3.1408
2.54772
11.8972
7.01214
13.24
0.924501
1.38673
9.81516
9.06885
9.78473
11.9874
2.52665
2.07328
12.2866
7.79283
6.12453
4.6625
10.8639
6.04626
9.17667
11.5207
4.99772
12.8178
8.37929
1.09385
13.8192
8.95438
5.03505
-0.0150067
0.612606
1.06306
3.66722
-0.0150068
6.72668
0.531861
7.22711
15.015
7.8542
1.04339
9.16189
4.04457
-0.015007
0.99784
14.0537
7.72309
7.9232
1.07037
-0.0150069
1.87402
6.46671
2.16082
0.685987
-0.0150069
10.5935
7.44975
9.31692
12.6213
13.8084
12.7399
];
z=[7.567516464
7.326168618
7.26447472
7.695456071
7.610342229
6.970763837
5.399174782
1.455725089
5.383290935
2.530031761
4.30143983
2.866794238
2.255227004
1.017496697
2.103445429
2.690290425
2.077100614
1.99905286
2.091664201
4.940408079
4.285700653
2.958530578
3.427685052
4.851003341
3.500523322
2.966608035
2.745874076
3.98429337
4.931779558
4.657570814
5.145589169
4.120389305
5.762056135
4.171654705
6.130338437
3.031069563
7.815263116
4.009349085
4.099312221
3.338009053
2.616791957
3.622461692
3.42891595
3.361933517
3.295186919
3.902690253
4.442532628
3.447250537
4.544585068
4.222765601
2.673158363
2.404322141
5.098846085
6.519169014
7.113527969
5.658972041
5.093777563
5.865706073
3.767832294
2.706526744
5.290812058
6.30385769
4.58292542
3.110106616
5.995815489
4.34905842
4.120916835
4.625171969
2.705697648
5.945300355
3.628090612
3.551067747
2.404934112
5.022901101
6.507941891
4.406638403
3.337983292
2.77064433
2.923771086
5.334178329
3.212384637
4.766063133
4.283109586
2.604964664
3.044090324
3.387547643
5.383218763
6.597158364
6.317417108
2.641400446
3.424439368
6.022873271
6.709851852
5.515513013
3.844424135
4.244532499
4.589700264
4.884436254
3.129381577
3.040370885
3.192506415
3.783344017
3.400052712
4.505696946
3.26885752
5.588818953
5.798703017
3.232219249
4.342017572
3.157816098
3.85566383
4.037143674
4.158476061
7.153785676
3.850307997
6.737252142
3.22157655
3.642266273
4.260205157
3.385962114
3.987768326
3.184205061
3.747921678
4.127635988
2.881636358
7.017895533
7.731337412
3.353965072
8.704425346
]

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