pyblenderSDIC.meshes.TriangleMesh3D.compute_triangle_areas

TriangleMesh3D.compute_triangle_areas() → None

Compute the areas of the triangles in the mesh.

The areas are computed using the cross product of the edges of each triangle. The result is stored in the triangle_areas attribute as a NumPy array of shape (M,), where M is the number of triangles and each triangle contains the area of a triangle.

\[A = \frac{\| (P_2 - P_1) \times (P_3 - P_1) \|}{2}\]

where \(P_1\), \(P_2\), and \(P_3\) are the vertices of the triangle, \(\times\) is the cross product, and \(\| \cdot \|\) is the norm.

from pyblenderSDIC.mesh import TriangleMesh3D

# Create a TriangleMesh3D instance
mesh = TriangleMesh3D(vertices=..., triangles=...)

# Compute the areas of the triangles
mesh.compute_triangle_areas()

# The areas are now available in the `triangle_areas` attribute
mesh.triangle_areas