pyFM.spectral.shape_difference

Functions

area_SD(FM)	Return the area shape difference computed from a functional map.
compute_SD(mesh1, mesh2[, k1, k2, p2p, SD_type])	Computes shape difference operators from a vertex to vertex map.
conformal_SD(FM, evals1, evals2)	Return the conformal shape difference operator computed from a functional map.

pyFM.spectral.shape_difference.area_SD(FM)

Return the area shape difference computed from a functional map.

Parameters:

FM – (k2,k1) functional map between two meshes

Returns:

SD – k1,k1) - Area based shape difference operator

Return type:

np.ndarray

pyFM.spectral.shape_difference.conformal_SD(FM, evals1, evals2)

Return the conformal shape difference operator computed from a functional map.

Parameters:

• FM – (k2,k1) functional map between two meshes

• evals1 – eigenvalues of the LBO on the source mesh (at least k1)

• evals2 – eigenvalues of the LBO on the target mesh (at least k2)

Returns:

SD – (k1,k1) - Conformal shape difference operator

Return type:

np.ndarray

pyFM.spectral.shape_difference.compute_SD(mesh1, mesh2, k1=None, k2=None, p2p=None, SD_type='spectral')

Computes shape difference operators from a vertex to vertex map.

Parameters:

• mesh1 (pyFM.mesh.TriMesh) – Source mesh with computed eigenvectors.

• mesh2 (pyFM.mesh.TriMesh) – Target mesh object with computed eigenvectors.

• k1 – Dimension to use on the source basis. If None, use all the computed eigenvectors

• k2 –

  Dimension to use on the source basis if SD_type is ‘spectral’.

  If None and SD_type is spectral, uses 3*k1

• p2p –

  (n2,) vertex to vertex map between the two meshes.

  If None, set to the identity mapping

• SD_type –

  ‘spectral’ | ‘semican’first option uses the LB basis on the target shape.

  Second option uses the canonical basis on the target shape

Returns:

• SD_a (np.ndarray) – (k1,k1) Area based shape difference operator

• SD_c (np.ndarray) – (k1,k1) Conformal shape difference operator