I have a text file with xy-coordinates called xy.txt.
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I read the file using
import numpy as np
xy = np.loadtxt('xy.txt')
x, y = xy[:, 0], xy[:, 1]
and I can plot the points with
import matplotlib.pyplot as plt
plt.plot(x, y, 'o', color='black', markersize=6)
plt.show()
Visually the data looks as follows:
I want to retrieve the xy-coordinates of the points that form the boundary of the shape. Answers on similar questions suggest to use Concave Hull. With the help of this blog I write the following code:
from scipy import spatial
hull = spatial.ConvexHull(xy, incremental=False, qhull_options='Qt')
hull_indices = hull.vertices
boundary_x = []
boundary_y = []
for i in range(len(hull_indices)):
index = hull_indices[i]
boundary_x.append(xy[index, 0].astype('float32'))
boundary_y.append(xy[index, 1].astype('float32'))
plt.plot(boundary_x, boundary_y, 'o', color='red', markersize=6)
plt.show()
The output looks like
Clearly the red points are not the boundary points. Some are enclosed by other points and they all are different from the original points. How do I define the boundary points in terms of the original points? Please advice
from Find boundary points of xy coordinates
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