spectralbrain.biharmonic_distance#

spectralbrain.biharmonic_distance(decomp, *, indices=None)[source]#

Biharmonic distance — parameter-free intrinsic metric.

\[d_B^2(x, y) = \sum_{i=1}^{k} \frac{(\varphi_i(x) - \varphi_i(y))^2}{\lambda_i^2}\]

Smooth, locally isotropic, globally shape-aware, robust to topological noise. No tuneable parameters.

Parameters:

  • decomp (SpectralDecomposition)

  • indices (ndarray of int, optional) – Compute distances only from these source vertices.

Returns:

ndarray, shape (M, N) or (N, N)

Return type:

ndarray[tuple[Any, …], dtype[floating]]

References

Lipman Y, Rustamov RM, Funkhouser TA. Biharmonic distance. ACM TOG 29(3):27, 2010.