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如何计算Python绘制的3D曲面图形的体积

如何计算Python绘制的3D曲面图形的体积

看起来你已经成功用Matplotlib画出了3D三角曲面,现在要计算它的体积对吧?先明确一下:咱们要算的是这个曲面**与某个基准平面(比如所有点的最低z值平面,毕竟你的数据z都在628-633之间,这个基准面更符合“图形凸起部分的体积”的需求)**之间的空间体积。

先回顾下你已经实现的代码,以及数据格式:

你的3D曲面绘制代码

import pandas as pd
import matplotlib.pyplot as plt

with open('PS.txt', 'r') as f:
    # 读取PS.txt,列格式为:序号, x, y, z
    df = pd.read_csv(f, sep=",", header=None, names=["index", "x", "y", "z"])

x = df['x'].values
y = df['y'].values
z = df['z'].values

fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.plot_trisurf(x, y, z)
plt.show()

你的PS.txt数据示例(完整内容如下)

1,152691.129,213258.428,631.716
2,152691.316,213256.857,631.827
3,152692.729,213255.315,631.945
4,152695.035,213250.459,631.882
5,152696.787,213246.130,632.107
6,152698.298,213242.364,631.578
7,152699.839,213239.028,631.723
8,152700.217,213237.356,631.350
9,152701.883,213233.297,631.206
10,152702.981,213229.478,631.392
11,152705.247,213224.878,631.609
12,152706.485,213222.668,632.294
13,152708.542,213219.988,632.765
14,152708.552,213220.002,632.750
15,152711.060,213215.836,632.809
16,152713.617,213211.422,632.346
17,152718.564,213202.802,631.409
18,152722.731,213197.100,631.362
19,152726.272,213192.046,631.498
20,152730.236,213186.253,631.371
21,152734.179,213180.031,631.452
22,152737.690,213175.369,631.344
23,152741.310,213177.118,631.309
24,152748.978,213182.575,631.163
25,152756.270,213188.301,631.247
26,152759.305,213190.724,631.267
27,152762.942,213192.492,631.256
28,152765.987,213194.916,631.162
29,152769.216,213197.108,631.358
30,152771.065,213200.136,631.245
31,152769.791,213202.537,631.736
32,152767.962,213205.946,631.614
33,152764.967,213211.123,631.717
34,152762.501,213215.213,631.571
35,152758.903,213221.344,631.816
36,152757.514,213225.138,632.015
37,152754.682,213229.676,631.975
38,152751.918,213234.024,631.889
39,152748.804,213239.425,632.106
40,152745.263,213245.349,631.928
41,152741.336,213251.451,631.912
42,152737.827,213256.240,632.071
43,152733.422,213263.828,632.060
44,152729.597,213269.791,632.211
45,152727.207,213273.974,632.440
46,152725.795,213276.797,632.435
47,152725.042,213277.064,632.554
48,152723.422,213276.584,632.513
49,152715.066,213272.147,632.442
50,152709.221,213268.936,632.387
51,152702.480,213264.648,632.467
52,152697.043,213261.739,632.231
53,152693.678,213259.727,632.141
54,152718.231,213206.304,629.044
55,152720.573,213203.068,628.925
56,152723.331,213199.193,628.898
57,152723.927,213196.993,628.870
58,152728.193,213190.552,628.813
59,152731.767,213185.322,628.960
60,152735.617,213179.673,629.032
61,152737.550,213176.409,629.168
62,152740.349,213177.727,629.093
63,152747.789,213183.248,628.736
64,152755.001,213188.781,628.874
65,152758.970,213192.543,629.045
66,152761.357,213193.329,629.181
67,152766.041,213196.920,629.269
68,152767.944,213199.372,629.367
69,152768.401,213201.151,629.219
70,152764.862,213207.360,629.122
71,152761.754,213212.748,629.312
72,152757.478,213220.474,629.310
73,152753.623,213228.269,629.393
74,152748.167,213237.432,629.557
75,152742.455,213247.561,629.629
76,152737.519,213254.209,629.883
77,152733.522,213259.618,630.021
78,152732.286,213261.395,629.511
79,152728.106,213268.732,629.516
80,152726.549,213271.128,629.326
81,152723.805,213274.373,629.317
82,152721.984,213273.677,629.192
83,152716.138,213270.812,629.574
84,152710.821,213268.060,629.567
85,152706.132,213265.473,629.309
86,152701.330,213262.217,628.895
87,152697.388,213260.418,628.983
88,152694.490,213258.500,629.225
89,152693.393,213258.304,629.621
90,152694.345,213256.439,629.329
91,152696.949,213251.571,629.259
92,152698.927,213246.215,629.155
93,152700.346,213242.499,629.009
94,152702.244,213238.054,628.970
95,152703.983,213233.276,628.897
96,152705.018,213229.281,629.012
97,152706.526,213226.382,629.127
98,152707.929,213223.484,629.261
99,152711.127,213219.338,629.268
100,152713.425,213215.829,629.093
101,152716.183,213210.623,628.744
102,152699.816,213255.436,628.810
103,152703.999,213257.574,628.649
104,152708.446,213259.993,629.049
105,152715.256,213263.596,629.281
106,152719.561,213265.977,629.373
107,152724.048,213268.319,629.370
108,152726.984,213263.115,629.579
109,152724.089,213260.586,629.322
110,152718.138,213256.749,629.407
111,152713.111,213253.939,629.257
112,152709.817,213251.502,628.953
113,152707.199,213249.989,628.670
114,152702.574,213247.411,628.844
115,152705.577,213241.685,628.898
116,152710.906,213

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