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. Author manuscript; available in PMC: 2012 Jun 1.
Published in final edited form as: Oral Surg Oral Med Oral Pathol Oral Radiol Endod. 2011 Apr 16;111(6):757–770. doi: 10.1016/j.tripleo.2011.02.002

Figure 6. Description of 3D shape analysis procedures.

Figure 6

The segmented 3-dimensional surface models of hemi-mandibles are converted into surface meshes, and a spherical parametrization is computed for the surface meshes using area-preserving and distortion-minimizing spherical mapping. The SPHARM description is computed from the mesh and its spherical parametrization. Using the first-order ellipsoid from the spherical harmonic coefficients, the spherical parametrizations establish correspondence across all surfaces. The SPHARM description is then sampled into a triangulated surface (SPHARM-PDM). The hemi-mandibles are represented using 4002 surface points.