Python -围绕三维打印云点打印曲面

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我运行计算流体动力学模拟，并希望在某个数量上级阈值的区域中细化网格。我设法提取点位置，以便获得描述与细化标准相对应的区域的点列表。
为了细化网格，我需要向软件提供点云所描述的表面（或曲线，如果我们在2D中）的外部边界。更具体地说，我需要移除区域中心的所有点，以获得边界上的点的坐标。然后，我想用曲线包围这些点。

我在论坛上找到了类似的帖子，但问题是插值点云，所以不完全是我想要的：Fit Curve-Spline to 3D Point Cloud
你能帮我做那件事吗？
以下是点云的2D示例，我只想保留边界点并绘制周围曲线：

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1.378,0.1881,0
1.4162,0.1881,0
1.4548,0.1881,0
1.4937,0.1881,0
1.533,0.1881,0
1.5728,0.1881,0
1.6129,0.1881,0
1.6534,0.1881,0
1.6944,0.1881,0
1.7357,0.1881,0
1.7774,0.1881,0
1.8196,0.1881,0
1.8622,0.1881,0
1.9052,0.1881,0
1.9487,0.1881,0
1.9926,0.1881,0
2.0369,0.1881,0

谢谢你的帮忙
敬启

可以使用SciPy中的ConvexHull来完成，这个函数和convex_hull_plot_2d一起为提供的数据集产生这个结果。下面是重现图片的代码。代码末尾的hull.points包含了你正在寻找的点的结果轮廓集。

import matplotlib.pyplot as plt
import pandas as pd
import numpy as np
from scipy.spatial import ConvexHull, convex_hull_plot_2d

df = pd.DataFrame([{'x': 0.20215, 'y': 0.29703, 'z': 0},
 {'x': 0.22857, 'y': 0.29703, 'z': 0},
 {'x': 0.25526, 'y': 0.29703, 'z': 0},
 {'x': 0.28221, 'y': 0.29703, 'z': 0},
 {'x': 0.30943, 'y': 0.29703, 'z': 0},
 {'x': 0.33692, 'y': 0.29703, 'z': 0},
 {'x': 0.36469, 'y': 0.29703, 'z': 0},
 {'x': 0.39273, 'y': 0.29703, 'z': 0},
 {'x': 0.42106, 'y': 0.29703, 'z': 0},
 {'x': 0.44966, 'y': 0.29703, 'z': 0},
 {'x': 0.47856, 'y': 0.29703, 'z': 0},
 {'x': 0.50774, 'y': 0.29703, 'z': 0},
 {'x': 0.53722, 'y': 0.29703, 'z': 0},
 {'x': 0.56699, 'y': 0.29703, 'z': 0},
 {'x': 0.59706, 'y': 0.29703, 'z': 0},
 {'x': 0.62742, 'y': 0.29703, 'z': 0},
 {'x': 0.6581, 'y': 0.29703, 'z': 0},
 {'x': 0.68907, 'y': 0.29703, 'z': 0},
 {'x': 0.72036, 'y': 0.29703, 'z': 0},
 {'x': 0.75196, 'y': 0.29703, 'z': 0},
 {'x': 0.78388, 'y': 0.29703, 'z': 0},
 {'x': 0.81612, 'y': 0.29703, 'z': 0},
 {'x': 0.84868, 'y': 0.29703, 'z': 0},
 {'x': 0.88156, 'y': 0.29703, 'z': 0},
 {'x': 0.91478, 'y': 0.29703, 'z': 0},
 {'x': 0.94832, 'y': 0.29703, 'z': 0},
 {'x': 0.9822, 'y': 0.29703, 'z': 0},
 {'x': 1.0164, 'y': 0.29703, 'z': 0},
 {'x': 1.051, 'y': 0.29703, 'z': 0},
 {'x': 1.0859, 'y': 0.29703, 'z': 0},
 {'x': 1.1211, 'y': 0.29703, 'z': 0},
 {'x': 1.1568, 'y': 0.29703, 'z': 0},
 {'x': 1.1927, 'y': 0.29703, 'z': 0},
 {'x': 1.229, 'y': 0.29703, 'z': 0},
 {'x': 1.2657, 'y': 0.29703, 'z': 0},
 {'x': 1.3028, 'y': 0.29703, 'z': 0},
 {'x': 1.3402, 'y': 0.29703, 'z': 0},
 {'x': 1.378, 'y': 0.29703, 'z': 0},
 {'x': 1.4162, 'y': 0.29703, 'z': 0},
 {'x': 1.4548, 'y': 0.29703, 'z': 0},
 {'x': 1.4937, 'y': 0.29703, 'z': 0},
 {'x': 1.533, 'y': 0.29703, 'z': 0},
 {'x': 1.5728, 'y': 0.29703, 'z': 0},
 {'x': 1.6129, 'y': 0.29703, 'z': 0},
 {'x': 1.6534, 'y': 0.29703, 'z': 0},
 {'x': 1.6944, 'y': 0.29703, 'z': 0},
 {'x': 1.7357, 'y': 0.29703, 'z': 0},
 {'x': 1.7774, 'y': 0.29703, 'z': 0},
 {'x': 1.8196, 'y': 0.29703, 'z': 0},
 {'x': 1.8622, 'y': 0.29703, 'z': 0},
 {'x': 1.9052, 'y': 0.29703, 'z': 0},
 {'x': 1.9487, 'y': 0.29703, 'z': 0},
 {'x': 1.9926, 'y': 0.29703, 'z': 0},
 {'x': 2.0369, 'y': 0.29703, 'z': 0},
 {'x': 2.0817, 'y': 0.29703, 'z': 0},
 {'x': 2.1269, 'y': 0.29703, 'z': 0},
 {'x': 2.1725, 'y': 0.29703, 'z': 0},
 {'x': 2.2187, 'y': 0.29703, 'z': 0},
 {'x': 2.2652, 'y': 0.29703, 'z': 0},
 {'x': 2.3123, 'y': 0.29703, 'z': 0},
 {'x': 2.3598, 'y': 0.29703, 'z': 0},
 {'x': 2.4078, 'y': 0.29703, 'z': 0},
 {'x': 2.4563, 'y': 0.29703, 'z': 0},
 {'x': 2.5053, 'y': 0.29703, 'z': 0},
 {'x': 2.5547, 'y': 0.29703, 'z': 0},
 {'x': 2.6046, 'y': 0.29703, 'z': 0},
 {'x': 2.6551, 'y': 0.29703, 'z': 0},
 {'x': 2.706, 'y': 0.29703, 'z': 0},
 {'x': 2.7575, 'y': 0.29703, 'z': 0},
 {'x': 2.8095, 'y': 0.29703, 'z': 0},
 {'x': 2.862, 'y': 0.29703, 'z': 0},
 {'x': 2.915, 'y': 0.29703, 'z': 0},
 {'x': 2.9685, 'y': 0.29703, 'z': 0},
 {'x': 3.0226, 'y': 0.29703, 'z': 0},
 {'x': 3.0772, 'y': 0.29703, 'z': 0},
 {'x': 3.1324, 'y': 0.29703, 'z': 0},
 {'x': 3.1881, 'y': 0.29703, 'z': 0},
 {'x': 3.2444, 'y': 0.29703, 'z': 0},
 {'x': 3.3013, 'y': 0.29703, 'z': 0},
 {'x': 3.3587, 'y': 0.29703, 'z': 0},
 {'x': 3.4166, 'y': 0.29703, 'z': 0},
 {'x': 3.4752, 'y': 0.29703, 'z': 0},
 {'x': 3.5344, 'y': 0.29703, 'z': 0},
 {'x': 3.5941, 'y': 0.29703, 'z': 0},
 {'x': 3.6544, 'y': 0.29703, 'z': 0},
 {'x': 3.7154, 'y': 0.29703, 'z': 0},
 {'x': 3.7769, 'y': 0.29703, 'z': 0},
 {'x': 3.8391, 'y': 0.29703, 'z': 0},
 {'x': 3.9019, 'y': 0.29703, 'z': 0},
 {'x': 3.9653, 'y': 0.29703, 'z': 0},
 {'x': 4.0294, 'y': 0.29703, 'z': 0},
 {'x': 4.094, 'y': 0.29703, 'z': 0},
 {'x': 4.1594, 'y': 0.29703, 'z': 0},
 {'x': 4.2254, 'y': 0.29703, 'z': 0},
 {'x': 4.292, 'y': 0.29703, 'z': 0},
 {'x': 4.3593, 'y': 0.29703, 'z': 0},
 {'x': 4.4273, 'y': 0.29703, 'z': 0},
 {'x': 4.496, 'y': 0.29703, 'z': 0},
 {'x': 4.5654, 'y': 0.29703, 'z': 0},
 {'x': 4.6354, 'y': 0.29703, 'z': 0},
 {'x': 4.7062, 'y': 0.29703, 'z': 0},
 {'x': 4.7776, 'y': 0.29703, 'z': 0},
 {'x': 4.8498, 'y': 0.29703, 'z': 0},
 {'x': 4.9227, 'y': 0.29703, 'z': 0},
 {'x': 0.28221, 'y': 0.28425, 'z': 0},
 {'x': 0.30943, 'y': 0.28425, 'z': 0},
 {'x': 0.33692, 'y': 0.28425, 'z': 0},
 {'x': 0.36469, 'y': 0.28425, 'z': 0},
 {'x': 0.39273, 'y': 0.28425, 'z': 0},
 {'x': 0.42106, 'y': 0.28425, 'z': 0},
 {'x': 0.44966, 'y': 0.28425, 'z': 0},
 {'x': 0.47856, 'y': 0.28425, 'z': 0},
 {'x': 0.50774, 'y': 0.28425, 'z': 0},
 {'x': 0.53722, 'y': 0.28425, 'z': 0},
 {'x': 0.56699, 'y': 0.28425, 'z': 0},
 {'x': 0.59706, 'y': 0.28425, 'z': 0},
 {'x': 0.62742, 'y': 0.28425, 'z': 0},
 {'x': 0.6581, 'y': 0.28425, 'z': 0},
 {'x': 0.68907, 'y': 0.28425, 'z': 0},
 {'x': 0.72036, 'y': 0.28425, 'z': 0},
 {'x': 0.75196, 'y': 0.28425, 'z': 0},
 {'x': 0.78388, 'y': 0.28425, 'z': 0},
 {'x': 0.81612, 'y': 0.28425, 'z': 0},
 {'x': 0.84868, 'y': 0.28425, 'z': 0},
 {'x': 0.88156, 'y': 0.28425, 'z': 0},
 {'x': 0.91478, 'y': 0.28425, 'z': 0},
 {'x': 0.94832, 'y': 0.28425, 'z': 0},
 {'x': 0.9822, 'y': 0.28425, 'z': 0},
 {'x': 1.0164, 'y': 0.28425, 'z': 0},
 {'x': 1.051, 'y': 0.28425, 'z': 0},
 {'x': 1.0859, 'y': 0.28425, 'z': 0},
 {'x': 1.1211, 'y': 0.28425, 'z': 0},
 {'x': 1.1568, 'y': 0.28425, 'z': 0},
 {'x': 1.1927, 'y': 0.28425, 'z': 0},
 {'x': 1.229, 'y': 0.28425, 'z': 0},
 {'x': 1.2657, 'y': 0.28425, 'z': 0},
 {'x': 1.3028, 'y': 0.28425, 'z': 0},
 {'x': 1.3402, 'y': 0.28425, 'z': 0},
 {'x': 1.378, 'y': 0.28425, 'z': 0},
 {'x': 1.4162, 'y': 0.28425, 'z': 0},
 {'x': 1.4548, 'y': 0.28425, 'z': 0},
 {'x': 1.4937, 'y': 0.28425, 'z': 0},
 {'x': 1.533, 'y': 0.28425, 'z': 0},
 {'x': 1.5728, 'y': 0.28425, 'z': 0},
 {'x': 1.6129, 'y': 0.28425, 'z': 0},
 {'x': 1.6534, 'y': 0.28425, 'z': 0},
 {'x': 1.6944, 'y': 0.28425, 'z': 0},
 {'x': 1.7357, 'y': 0.28425, 'z': 0},
 {'x': 1.7774, 'y': 0.28425, 'z': 0},
 {'x': 1.8196, 'y': 0.28425, 'z': 0},
 {'x': 1.8622, 'y': 0.28425, 'z': 0},
 {'x': 1.9052, 'y': 0.28425, 'z': 0},
 {'x': 1.9487, 'y': 0.28425, 'z': 0},
 {'x': 1.9926, 'y': 0.28425, 'z': 0},
 {'x': 2.0369, 'y': 0.28425, 'z': 0},
 {'x': 2.0817, 'y': 0.28425, 'z': 0},
 {'x': 2.1269, 'y': 0.28425, 'z': 0},
 {'x': 2.1725, 'y': 0.28425, 'z': 0},
 {'x': 2.2187, 'y': 0.28425, 'z': 0},
 {'x': 2.2652, 'y': 0.28425, 'z': 0},
 {'x': 2.3123, 'y': 0.28425, 'z': 0},
 {'x': 2.3598, 'y': 0.28425, 'z': 0},
 {'x': 2.4078, 'y': 0.28425, 'z': 0},
 {'x': 2.4563, 'y': 0.28425, 'z': 0},
 {'x': 2.5053, 'y': 0.28425, 'z': 0},
 {'x': 2.5547, 'y': 0.28425, 'z': 0},
 {'x': 2.6046, 'y': 0.28425, 'z': 0},
 {'x': 2.6551, 'y': 0.28425, 'z': 0},
 {'x': 2.706, 'y': 0.28425, 'z': 0},
 {'x': 2.7575, 'y': 0.28425, 'z': 0},
 {'x': 2.8095, 'y': 0.28425, 'z': 0},
 {'x': 2.862, 'y': 0.28425, 'z': 0},
 {'x': 2.915, 'y': 0.28425, 'z': 0},
 {'x': 2.9685, 'y': 0.28425, 'z': 0},
 {'x': 3.0226, 'y': 0.28425, 'z': 0},
 {'x': 3.0772, 'y': 0.28425, 'z': 0},
 {'x': 3.1324, 'y': 0.28425, 'z': 0},
 {'x': 3.1881, 'y': 0.28425, 'z': 0},
 {'x': 3.2444, 'y': 0.28425, 'z': 0},
 {'x': 3.3013, 'y': 0.28425, 'z': 0},
 {'x': 3.3587, 'y': 0.28425, 'z': 0},
 {'x': 3.4166, 'y': 0.28425, 'z': 0},
 {'x': 3.4752, 'y': 0.28425, 'z': 0},
 {'x': 3.5344, 'y': 0.28425, 'z': 0},
 {'x': 3.5941, 'y': 0.28425, 'z': 0},
 {'x': 3.6544, 'y': 0.28425, 'z': 0},
 {'x': 3.7154, 'y': 0.28425, 'z': 0},
 {'x': 3.7769, 'y': 0.28425, 'z': 0},
 {'x': 3.8391, 'y': 0.28425, 'z': 0},
 {'x': 3.9019, 'y': 0.28425, 'z': 0},
 {'x': 3.9653, 'y': 0.28425, 'z': 0},
 {'x': 4.0294, 'y': 0.28425, 'z': 0},
 {'x': 4.094, 'y': 0.28425, 'z': 0},
 {'x': 4.1594, 'y': 0.28425, 'z': 0},
 {'x': 4.2254, 'y': 0.28425, 'z': 0},
 {'x': 4.292, 'y': 0.28425, 'z': 0},
 {'x': 4.3593, 'y': 0.28425, 'z': 0},
 {'x': 4.4273, 'y': 0.28425, 'z': 0},
 {'x': 4.496, 'y': 0.28425, 'z': 0},
 {'x': 4.5654, 'y': 0.28425, 'z': 0},
 {'x': 0.39273, 'y': 0.27117, 'z': 0},
 {'x': 0.42106, 'y': 0.27117, 'z': 0},
 {'x': 0.44966, 'y': 0.27117, 'z': 0},
 {'x': 0.47856, 'y': 0.27117, 'z': 0},
 {'x': 0.50774, 'y': 0.27117, 'z': 0},
 {'x': 0.53722, 'y': 0.27117, 'z': 0},
 {'x': 0.56699, 'y': 0.27117, 'z': 0},
 {'x': 0.59706, 'y': 0.27117, 'z': 0},
 {'x': 0.62742, 'y': 0.27117, 'z': 0},
 {'x': 0.6581, 'y': 0.27117, 'z': 0},
 {'x': 0.68907, 'y': 0.27117, 'z': 0},
 {'x': 0.72036, 'y': 0.27117, 'z': 0},
 {'x': 0.75196, 'y': 0.27117, 'z': 0},
 {'x': 0.78388, 'y': 0.27117, 'z': 0},
 {'x': 0.81612, 'y': 0.27117, 'z': 0},
 {'x': 0.84868, 'y': 0.27117, 'z': 0},
 {'x': 0.88156, 'y': 0.27117, 'z': 0},
 {'x': 0.91478, 'y': 0.27117, 'z': 0},
 {'x': 0.94832, 'y': 0.27117, 'z': 0},
 {'x': 0.9822, 'y': 0.27117, 'z': 0},
 {'x': 1.0164, 'y': 0.27117, 'z': 0},
 {'x': 1.051, 'y': 0.27117, 'z': 0},
 {'x': 1.0859, 'y': 0.27117, 'z': 0},
 {'x': 1.1211, 'y': 0.27117, 'z': 0},
 {'x': 1.1568, 'y': 0.27117, 'z': 0},
 {'x': 1.1927, 'y': 0.27117, 'z': 0},
 {'x': 1.229, 'y': 0.27117, 'z': 0},
 {'x': 1.2657, 'y': 0.27117, 'z': 0},
 {'x': 1.3028, 'y': 0.27117, 'z': 0},
 {'x': 1.3402, 'y': 0.27117, 'z': 0},
 {'x': 1.378, 'y': 0.27117, 'z': 0},
 {'x': 1.4162, 'y': 0.27117, 'z': 0},
 {'x': 1.4548, 'y': 0.27117, 'z': 0},
 {'x': 1.4937, 'y': 0.27117, 'z': 0},
 {'x': 1.533, 'y': 0.27117, 'z': 0},
 {'x': 1.5728, 'y': 0.27117, 'z': 0},
 {'x': 1.6129, 'y': 0.27117, 'z': 0},
 {'x': 1.6534, 'y': 0.27117, 'z': 0},
 {'x': 1.6944, 'y': 0.27117, 'z': 0},
 {'x': 1.7357, 'y': 0.27117, 'z': 0},
 {'x': 1.7774, 'y': 0.27117, 'z': 0},
 {'x': 1.8196, 'y': 0.27117, 'z': 0},
 {'x': 1.8622, 'y': 0.27117, 'z': 0},
 {'x': 1.9052, 'y': 0.27117, 'z': 0},
 {'x': 1.9487, 'y': 0.27117, 'z': 0},
 {'x': 1.9926, 'y': 0.27117, 'z': 0},
 {'x': 2.0369, 'y': 0.27117, 'z': 0},
 {'x': 2.0817, 'y': 0.27117, 'z': 0},
 {'x': 2.1269, 'y': 0.27117, 'z': 0},
 {'x': 2.1725, 'y': 0.27117, 'z': 0},
 {'x': 2.2187, 'y': 0.27117, 'z': 0},
 {'x': 2.2652, 'y': 0.27117, 'z': 0},
 {'x': 2.3123, 'y': 0.27117, 'z': 0},
 {'x': 2.3598, 'y': 0.27117, 'z': 0},
 {'x': 2.4078, 'y': 0.27117, 'z': 0},
 {'x': 2.4563, 'y': 0.27117, 'z': 0},
 {'x': 2.5053, 'y': 0.27117, 'z': 0},
 {'x': 2.5547, 'y': 0.27117, 'z': 0},
 {'x': 2.6046, 'y': 0.27117, 'z': 0},
 {'x': 2.6551, 'y': 0.27117, 'z': 0},
 {'x': 2.706, 'y': 0.27117, 'z': 0},
 {'x': 2.7575, 'y': 0.27117, 'z': 0},
 {'x': 2.8095, 'y': 0.27117, 'z': 0},
 {'x': 2.862, 'y': 0.27117, 'z': 0},
 {'x': 2.915, 'y': 0.27117, 'z': 0},
 {'x': 2.9685, 'y': 0.27117, 'z': 0},
 {'x': 3.0226, 'y': 0.27117, 'z': 0},
 {'x': 3.0772, 'y': 0.27117, 'z': 0},
 {'x': 3.1324, 'y': 0.27117, 'z': 0},
 {'x': 3.1881, 'y': 0.27117, 'z': 0},
 {'x': 3.2444, 'y': 0.27117, 'z': 0},
 {'x': 3.3013, 'y': 0.27117, 'z': 0},
 {'x': 3.3587, 'y': 0.27117, 'z': 0},
 {'x': 3.4166, 'y': 0.27117, 'z': 0},
 {'x': 3.4752, 'y': 0.27117, 'z': 0},
 {'x': 3.5344, 'y': 0.27117, 'z': 0},
 {'x': 3.5941, 'y': 0.27117, 'z': 0},
 {'x': 3.6544, 'y': 0.27117, 'z': 0},
 {'x': 3.7154, 'y': 0.27117, 'z': 0},
 {'x': 3.7769, 'y': 0.27117, 'z': 0},
 {'x': 3.8391, 'y': 0.27117, 'z': 0},
 {'x': 3.9019, 'y': 0.27117, 'z': 0},
 {'x': 3.9653, 'y': 0.27117, 'z': 0},
 {'x': 4.0294, 'y': 0.27117, 'z': 0},
 {'x': 4.094, 'y': 0.27117, 'z': 0},
 {'x': 4.1594, 'y': 0.27117, 'z': 0},
 {'x': 0.47856, 'y': 0.25781, 'z': 0},
 {'x': 0.50774, 'y': 0.25781, 'z': 0},
 {'x': 0.53722, 'y': 0.25781, 'z': 0},
 {'x': 0.56699, 'y': 0.25781, 'z': 0},
 {'x': 0.59706, 'y': 0.25781, 'z': 0},
 {'x': 0.62742, 'y': 0.25781, 'z': 0},
 {'x': 0.6581, 'y': 0.25781, 'z': 0},
 {'x': 0.68907, 'y': 0.25781, 'z': 0},
 {'x': 0.72036, 'y': 0.25781, 'z': 0},
 {'x': 0.75196, 'y': 0.25781, 'z': 0},
 {'x': 0.78388, 'y': 0.25781, 'z': 0},
 {'x': 0.81612, 'y': 0.25781, 'z': 0},
 {'x': 0.84868, 'y': 0.25781, 'z': 0},
 {'x': 0.88156, 'y': 0.25781, 'z': 0},
 {'x': 0.91478, 'y': 0.25781, 'z': 0},
 {'x': 0.94832, 'y': 0.25781, 'z': 0},
 {'x': 0.9822, 'y': 0.25781, 'z': 0},
 {'x': 1.0164, 'y': 0.25781, 'z': 0},
 {'x': 1.051, 'y': 0.25781, 'z': 0},
 {'x': 1.0859, 'y': 0.25781, 'z': 0},
 {'x': 1.1211, 'y': 0.25781, 'z': 0},
 {'x': 1.1568, 'y': 0.25781, 'z': 0},
 {'x': 1.1927, 'y': 0.25781, 'z': 0},
 {'x': 1.229, 'y': 0.25781, 'z': 0},
 {'x': 1.2657, 'y': 0.25781, 'z': 0},
 {'x': 1.3028, 'y': 0.25781, 'z': 0},
 {'x': 1.3402, 'y': 0.25781, 'z': 0},
 {'x': 1.378, 'y': 0.25781, 'z': 0},
 {'x': 1.4162, 'y': 0.25781, 'z': 0},
 {'x': 1.4548, 'y': 0.25781, 'z': 0},
 {'x': 1.4937, 'y': 0.25781, 'z': 0},
 {'x': 1.533, 'y': 0.25781, 'z': 0},
 {'x': 1.5728, 'y': 0.25781, 'z': 0},
 {'x': 1.6129, 'y': 0.25781, 'z': 0},
 {'x': 1.6534, 'y': 0.25781, 'z': 0},
 {'x': 1.6944, 'y': 0.25781, 'z': 0},
 {'x': 1.7357, 'y': 0.25781, 'z': 0},
 {'x': 1.7774, 'y': 0.25781, 'z': 0},
 {'x': 1.8196, 'y': 0.25781, 'z': 0},
 {'x': 1.8622, 'y': 0.25781, 'z': 0},
 {'x': 1.9052, 'y': 0.25781, 'z': 0},
 {'x': 1.9487, 'y': 0.25781, 'z': 0},
 {'x': 1.9926, 'y': 0.25781, 'z': 0},
 {'x': 2.0369, 'y': 0.25781, 'z': 0},
 {'x': 2.0817, 'y': 0.25781, 'z': 0},
 {'x': 2.1269, 'y': 0.25781, 'z': 0},
 {'x': 2.1725, 'y': 0.25781, 'z': 0},
 {'x': 2.2187, 'y': 0.25781, 'z': 0},
 {'x': 2.2652, 'y': 0.25781, 'z': 0},
 {'x': 2.3123, 'y': 0.25781, 'z': 0},
 {'x': 2.3598, 'y': 0.25781, 'z': 0},
 {'x': 2.4078, 'y': 0.25781, 'z': 0},
 {'x': 2.4563, 'y': 0.25781, 'z': 0},
 {'x': 2.5053, 'y': 0.25781, 'z': 0},
 {'x': 2.5547, 'y': 0.25781, 'z': 0},
 {'x': 2.6046, 'y': 0.25781, 'z': 0},
 {'x': 2.6551, 'y': 0.25781, 'z': 0},
 {'x': 2.706, 'y': 0.25781, 'z': 0},
 {'x': 2.7575, 'y': 0.25781, 'z': 0},
 {'x': 2.8095, 'y': 0.25781, 'z': 0},
 {'x': 2.862, 'y': 0.25781, 'z': 0},
 {'x': 2.915, 'y': 0.25781, 'z': 0},
 {'x': 2.9685, 'y': 0.25781, 'z': 0},
 {'x': 3.0226, 'y': 0.25781, 'z': 0},
 {'x': 3.0772, 'y': 0.25781, 'z': 0},
 {'x': 3.1324, 'y': 0.25781, 'z': 0},
 {'x': 3.1881, 'y': 0.25781, 'z': 0},
 {'x': 3.2444, 'y': 0.25781, 'z': 0},
 {'x': 3.3013, 'y': 0.25781, 'z': 0},
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 {'x': 3.4166, 'y': 0.25781, 'z': 0},
 {'x': 3.4752, 'y': 0.25781, 'z': 0},
 {'x': 3.5344, 'y': 0.25781, 'z': 0},
 {'x': 3.5941, 'y': 0.25781, 'z': 0},
 {'x': 3.6544, 'y': 0.25781, 'z': 0},
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 {'x': 3.8391, 'y': 0.25781, 'z': 0},
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 {'x': 0.56699, 'y': 0.24422, 'z': 0},
 {'x': 0.59706, 'y': 0.24422, 'z': 0},
 {'x': 0.62742, 'y': 0.24422, 'z': 0},
 {'x': 0.6581, 'y': 0.24422, 'z': 0},
 {'x': 0.68907, 'y': 0.24422, 'z': 0},
 {'x': 0.72036, 'y': 0.24422, 'z': 0},
 {'x': 0.75196, 'y': 0.24422, 'z': 0},
 {'x': 0.78388, 'y': 0.24422, 'z': 0},
 {'x': 0.81612, 'y': 0.24422, 'z': 0},
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 {'x': 0.88156, 'y': 0.24422, 'z': 0},
 {'x': 0.91478, 'y': 0.24422, 'z': 0},
 {'x': 0.94832, 'y': 0.24422, 'z': 0},
 {'x': 0.9822, 'y': 0.24422, 'z': 0},
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 {'x': 1.0859, 'y': 0.24422, 'z': 0},
 {'x': 1.1211, 'y': 0.24422, 'z': 0},
 {'x': 1.1568, 'y': 0.24422, 'z': 0},
 {'x': 1.1927, 'y': 0.24422, 'z': 0},
 {'x': 1.229, 'y': 0.24422, 'z': 0},
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 {'x': 1.3402, 'y': 0.24422, 'z': 0},
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 {'x': 2.7575, 'y': 0.24422, 'z': 0},
 {'x': 2.8095, 'y': 0.24422, 'z': 0},
 {'x': 2.862, 'y': 0.24422, 'z': 0},
 {'x': 2.915, 'y': 0.24422, 'z': 0},
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 {'x': 3.0226, 'y': 0.24422, 'z': 0},
 {'x': 3.0772, 'y': 0.24422, 'z': 0},
 {'x': 3.1324, 'y': 0.24422, 'z': 0},
 {'x': 3.1881, 'y': 0.24422, 'z': 0},
 {'x': 3.2444, 'y': 0.24422, 'z': 0},
 {'x': 3.3013, 'y': 0.24422, 'z': 0},
 {'x': 3.3587, 'y': 0.24422, 'z': 0},
 {'x': 3.4166, 'y': 0.24422, 'z': 0},
 {'x': 3.4752, 'y': 0.24422, 'z': 0},
 {'x': 0.62742, 'y': 0.23041, 'z': 0},
 {'x': 0.6581, 'y': 0.23041, 'z': 0},
 {'x': 0.68907, 'y': 0.23041, 'z': 0},
 {'x': 0.72036, 'y': 0.23041, 'z': 0},
 {'x': 0.75196, 'y': 0.23041, 'z': 0},
 {'x': 0.78388, 'y': 0.23041, 'z': 0},
 {'x': 0.81612, 'y': 0.23041, 'z': 0},
 {'x': 0.84868, 'y': 0.23041, 'z': 0},
 {'x': 0.88156, 'y': 0.23041, 'z': 0},
 {'x': 0.91478, 'y': 0.23041, 'z': 0},
 {'x': 0.94832, 'y': 0.23041, 'z': 0},
 {'x': 0.9822, 'y': 0.23041, 'z': 0},
 {'x': 1.0164, 'y': 0.23041, 'z': 0},
 {'x': 1.051, 'y': 0.23041, 'z': 0},
 {'x': 1.0859, 'y': 0.23041, 'z': 0},
 {'x': 1.1211, 'y': 0.23041, 'z': 0},
 {'x': 1.1568, 'y': 0.23041, 'z': 0},
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 {'x': 1.2657, 'y': 0.23041, 'z': 0},
 {'x': 1.3028, 'y': 0.23041, 'z': 0},
 {'x': 1.3402, 'y': 0.23041, 'z': 0},
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 {'x': 2.2187, 'y': 0.23041, 'z': 0},
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 {'x': 2.706, 'y': 0.23041, 'z': 0},
 {'x': 2.7575, 'y': 0.23041, 'z': 0},
 {'x': 2.8095, 'y': 0.23041, 'z': 0},
 {'x': 2.862, 'y': 0.23041, 'z': 0},
 {'x': 2.915, 'y': 0.23041, 'z': 0},
 {'x': 2.9685, 'y': 0.23041, 'z': 0},
 {'x': 3.0226, 'y': 0.23041, 'z': 0},
 {'x': 3.0772, 'y': 0.23041, 'z': 0},
 {'x': 3.1324, 'y': 0.23041, 'z': 0},
 {'x': 3.1881, 'y': 0.23041, 'z': 0},
 {'x': 0.68907, 'y': 0.21643, 'z': 0},
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 {'x': 0.78388, 'y': 0.21643, 'z': 0},
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 {'x': 0.91478, 'y': 0.21643, 'z': 0},
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 {'x': 1.0859, 'y': 0.21643, 'z': 0},
 {'x': 1.1211, 'y': 0.21643, 'z': 0},
 {'x': 1.1568, 'y': 0.21643, 'z': 0},
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 {'x': 1.229, 'y': 0.21643, 'z': 0},
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 {'x': 2.0369, 'y': 0.21643, 'z': 0},
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 {'x': 2.2187, 'y': 0.21643, 'z': 0},
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 {'x': 2.3123, 'y': 0.21643, 'z': 0},
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 {'x': 2.706, 'y': 0.21643, 'z': 0},
 {'x': 2.7575, 'y': 0.21643, 'z': 0},
 {'x': 2.8095, 'y': 0.21643, 'z': 0},
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 {'x': 0.81612, 'y': 0.20231, 'z': 0},
 {'x': 0.84868, 'y': 0.20231, 'z': 0},
 {'x': 0.88156, 'y': 0.20231, 'z': 0},
 {'x': 0.91478, 'y': 0.20231, 'z': 0},
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 {'x': 1.0164, 'y': 0.20231, 'z': 0},
 {'x': 1.051, 'y': 0.20231, 'z': 0},
 {'x': 1.0859, 'y': 0.20231, 'z': 0},
 {'x': 1.1211, 'y': 0.20231, 'z': 0},
 {'x': 1.1568, 'y': 0.20231, 'z': 0},
 {'x': 1.1927, 'y': 0.20231, 'z': 0},
 {'x': 1.229, 'y': 0.20231, 'z': 0},
 {'x': 1.2657, 'y': 0.20231, 'z': 0},
 {'x': 1.3028, 'y': 0.20231, 'z': 0},
 {'x': 1.3402, 'y': 0.20231, 'z': 0},
 {'x': 1.378, 'y': 0.20231, 'z': 0},
 {'x': 1.4162, 'y': 0.20231, 'z': 0},
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 {'x': 1.533, 'y': 0.20231, 'z': 0},
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 {'x': 1.7357, 'y': 0.20231, 'z': 0},
 {'x': 1.7774, 'y': 0.20231, 'z': 0},
 {'x': 1.8196, 'y': 0.20231, 'z': 0},
 {'x': 1.8622, 'y': 0.20231, 'z': 0},
 {'x': 1.9052, 'y': 0.20231, 'z': 0},
 {'x': 1.9487, 'y': 0.20231, 'z': 0},
 {'x': 1.9926, 'y': 0.20231, 'z': 0},
 {'x': 2.0369, 'y': 0.20231, 'z': 0},
 {'x': 2.0817, 'y': 0.20231, 'z': 0},
 {'x': 2.1269, 'y': 0.20231, 'z': 0},
 {'x': 2.1725, 'y': 0.20231, 'z': 0},
 {'x': 2.2187, 'y': 0.20231, 'z': 0},
 {'x': 2.2652, 'y': 0.20231, 'z': 0},
 {'x': 2.3123, 'y': 0.20231, 'z': 0},
 {'x': 2.3598, 'y': 0.20231, 'z': 0},
 {'x': 2.4078, 'y': 0.20231, 'z': 0},
 {'x': 2.4563, 'y': 0.20231, 'z': 0},
 {'x': 1.051, 'y': 0.1881, 'z': 0},
 {'x': 1.0859, 'y': 0.1881, 'z': 0},
 {'x': 1.1211, 'y': 0.1881, 'z': 0},
 {'x': 1.1568, 'y': 0.1881, 'z': 0},
 {'x': 1.1927, 'y': 0.1881, 'z': 0},
 {'x': 1.229, 'y': 0.1881, 'z': 0},
 {'x': 1.2657, 'y': 0.1881, 'z': 0},
 {'x': 1.3028, 'y': 0.1881, 'z': 0},
 {'x': 1.3402, 'y': 0.1881, 'z': 0},
 {'x': 1.378, 'y': 0.1881, 'z': 0},
 {'x': 1.4162, 'y': 0.1881, 'z': 0},
 {'x': 1.4548, 'y': 0.1881, 'z': 0},
 {'x': 1.4937, 'y': 0.1881, 'z': 0},
 {'x': 1.533, 'y': 0.1881, 'z': 0},
 {'x': 1.5728, 'y': 0.1881, 'z': 0},
 {'x': 1.6129, 'y': 0.1881, 'z': 0},
 {'x': 1.6534, 'y': 0.1881, 'z': 0},
 {'x': 1.6944, 'y': 0.1881, 'z': 0},
 {'x': 1.7357, 'y': 0.1881, 'z': 0},
 {'x': 1.7774, 'y': 0.1881, 'z': 0},
 {'x': 1.8196, 'y': 0.1881, 'z': 0},
 {'x': 1.8622, 'y': 0.1881, 'z': 0},
 {'x': 1.9052, 'y': 0.1881, 'z': 0},
 {'x': 1.9487, 'y': 0.1881, 'z': 0},
 {'x': 1.9926, 'y': 0.1881, 'z': 0},
 {'x': 2.0369, 'y': 0.1881, 'z': 0}])

plt.scatter(data=df, x='x', y='y', label='original_data')
plt.legend()
plt.title('original data')
plt.show()

hull = ConvexHull(df[['x', 'y']])
fig = plt.figure()
ax = fig.add_subplot(1,1,1)
convex_hull_plot_2d(hull, ax=ax)
fig.tight_layout()
plt.title('convex hull with points')
plt.show()

hull.points
array([[0.20215, 0.29703],
   [0.22857, 0.29703],
   [0.25526, 0.29703],
   ...,
   [1.9487 , 0.1881 ],
   [1.9926 , 0.1881 ],
   [2.0369 , 0.1881 ]])

Python -围绕三维打印云点打印曲面

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