cotangent_laplacian

cotangent_laplacian(V, F)

Builds the (pos. def.) cotangent Laplacian for a triangle mesh.

Parameters:

Name	Type	Description	Default
V	(n,d) numpy array	vertex list of a triangle mesh	required
F	(m,3) numpy int array	face index list of a triangle mesh	required

Returns:

Name	Type	Description
L	(n,n) scipy csr_matrix	cotangent Laplacian

Examples:

TODO

Source code in src/gpytoolbox/cotangent_laplacian.py

def cotangent_laplacian(V,F):
    """Builds the (pos. def.) cotangent Laplacian for a triangle mesh.

    Parameters
    ----------
    V : (n,d) numpy array
        vertex list of a triangle mesh
    F : (m,3) numpy int array
        face index list of a triangle mesh

    Returns
    -------
    L : (n,n) scipy csr_matrix
        cotangent Laplacian

    Examples
    --------
    TODO

    """

    l_sq = halfedge_lengths_squared(V,F)
    return cotangent_laplacian_intrinsic(l_sq,F,n=V.shape[0])