`scipy.spatial._qhull:_get_barycentric_transforms`

Signature

def _get_barycentric_transforms ( points , simplices , eps )

Summary

Compute barycentric affine coordinate transformations for given simplices.

Returns

Tinvs : array, shape (nsimplex, ndim+1, ndim)

Barycentric transforms for each simplex.

Tinvs[i,:ndim,:ndim] contains inverse of the matrix T, and Tinvs[i,ndim,:] contains the vector r_n (see below).

Notes

Barycentric transform from x to c is defined by

T c = x - r_n

where the r_1, ..., r_n are the vertices of the simplex. The matrix T is defined by the condition

T e_j = r_j - r_n

where e_j is the unit axis vector, e.g, e_2 = [0,1,0,0,...] This implies that T_ij = (r_j - r_n)_i.

For the barycentric transforms, we need to compute the inverse matrix T^-1 and store the vectors r_n for each vertex. These are stacked into the Tinvs returned.

Aliases

scipy.spatial._qhull._get_barycentric_transforms