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. Author manuscript; available in PMC: 2011 Jul 1.
Published in final edited form as: Oral Surg Oral Med Oral Pathol Oral Radiol Endod. 2010 Apr 9;110(1):110–117. doi: 10.1016/j.tripleo.2010.01.008

Figure 2.

Figure 2

Description of shape correspondence procedures. The segmented 3D surface models of the condyles are converted into surface meshes, and a spherical parametrization is computed for the surface meshes using an area-preserving, 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 are aligned to establish correspondence across all surfaces. The SPHARM description is then sampled into a triangulated surfaces (SPHARM-PDM). The condylar surfaces are represented using a subdivision level 10 (1002 points in the surface of the condyle).These SPHARM-PDM surfaces are all spatially aligned using rigid Procrustes alignment.