在 Python 中创建 2D 中非矩形形状的三角形网格

Question

Suppose I have a set of points defining a perimeter of a non rectangular shape in the 2d plane.

I need a function to create a triangular meshing where I can modify the number of triangle cells and return (x,y) coordinates of each cell.

Thank you.

Answer 1

You should probably check out

• dmsh
• pygmsh / Gmsh
• MeshPy

(I'm the author of dmsh and pygmsh.)

Answer 2

I poste what i did finally. Some problems are found when working with Python3 . I advice to run on GoogleColab.

Source: https://github.com/inducer/meshpy/blob/master/examples/test_triangle.py

Run in google colab if you have python3 and you do not want to downgrad to python2

!pip install Meshpy
!pip install pybind11
!pip install pyvtk

from __future__ import division
from __future__ import absolute_import

import meshpy.triangle as triangle
import numpy as np
import numpy.linalg as la
from six.moves import range
import matplotlib.pyplot as pt

def round_trip_connect(start, end):
    return [(i, i+1) for i in range(start, end)] + [(end, start)]



points = [(100,400),
          (400,400),
          (400,280),
          (320,270), 
          (320,160), 
          (120,160), 
          (120,250), 
          (100,250)]

facets = round_trip_connect(0, len(points)-1)

circ_start = len(points)
points.extend((3 * np.cos(angle), 3 * np.sin(angle)) for angle in np.linspace(0, 2*np.pi, 30, endpoint=False))

facets.extend(round_trip_connect(circ_start, len(points)-1))


def needs_refinement(vertices, area):
    bary = np.sum(np.array(vertices), axis=0)/3
    max_area = 5 + (la.norm(bary, np.inf)-1)*5
    return bool(area > max_area)

info = triangle.MeshInfo()
info.set_points(points)
info.set_holes([(0, 0)])
info.set_facets(facets)

mesh = triangle.build(info, refinement_func=needs_refinement)

mesh_points = np.array(mesh.points)
mesh_tris = np.array(mesh.elements)


pt.triplot(mesh_points[:, 0], mesh_points[:, 1], mesh_tris)
pt.show()

print (mesh_points)