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 :None:None:`Tinvs` returned.
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).
Compute barycentric affine coordinate transformations for given simplices.
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