Direct Spherical Harmonic Transform of a Triangulated Mesh

M. Mousa, R. Chaine, and S. Akkouche
LIRIS

This paper appears in issue Volume 11, Number 2.
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Abstract

Spherical harmonic transform plays an important role in research in shape description. Current computation methods involve expensive voxelization, and are prone to numerical errors associated with the size of the voxels. This paper describes a fast and accurate technique for computing spherical harmonic coefficients directly from the description of the mesh. The algorithm runs in linear time O(n), where n is the number of triangles of the mesh. Source code is available online.

Author Information

M. Mousa, LIRIS, Bâtiment Nautibus, 8 boulevard Niels Bohr 69622 Villeurbanne Cedex, France mohamed.mousa@liris.cnrs.fr

R. Chaine, LIRIS, Bâtiment Nautibus, 8 boulevard Niels Bohr 69622 Villeurbanne Cedex, France raphaelle.chaine@liris.cnrs.fr

S. Akkouche, LIRIS, Bâtiment Nautibus, 8 boulevard Niels Bohr 69622 Villeurbanne Cedex, France samir.akkouche@liris.cnrs.fr

Source Code

BibTeX Entry

@article{MousaEtAl06,
  author = "M. Mousa and R. Chaine and S. Akkouche",
  title = "Direct Spherical Harmonic Transform of a Triangulated Mesh",
  journal = "journal of graphics tools",
  volume = "11",
  number = "2",
  pages = "17-26",
  year = "2006",
}