Input the number of tetrahedrons. “tetr”: nx4 array, the initial set of tetrahedrons to include in the triangulation, or a delaunay triangulation.
Output the surface expressed by the tetrahedrons in vector form
Calculate the Delaunay triangulation of the tetrahedrons in “tetr”.
Create a simple grid which we use to build a ball fretting.”ForEach Tri” (build ball fretting):
1. Create a ball nx3 array (the center of the ball) nx3 array (the radius of the ball) nx3 array (the normals of the ball)
2. For every triangle included in the triangulation, calculate the distance between the center of the ball and the triangle’s surface, and invert the result to obtain the tangent of the ball’s surface.
When the function is finished, you have a surface. The script returns the surface as a numpy.array in the right shape. “t” contains the number of triangles in each tetrahedron. “norms” contains the norms of the normals, to create the fretting.
From this surface, we can retrude the tetrahedrons from “t”. These tetrahedrons express the ball frets, but they need some smoothing. We use the scipy package “prune” for this smoothing. This script assumes that “p” is a constant, 3D set of points, but it is in fact a set of a few tetrahedrons:
#prune – points to remove from the surface
“prune” and “points” are both vectors, we don’t need to specify their size.
“prune” is a vector of length 10, where 0 means that we will remove a certain number of tetrahedrons from the tetrahedron cloud.
“points” is the constant 3D set of points.
the tetrahedron cloud after pruning
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