Shape Registration with Spherical Cross Correlation

Boris Gutman, Yalin Wang, Tony F. Chan, and Paul M. Thompson, Arthur W. Toga

Abstract

We present a framework for shape alignment that generalizes several existing methods.We assume that the shape is a closed genus zero surface. Our framework requires a diŽeomorphic surface mapping to the 2-sphere which preserves rotation. Our similarity measure is a global spherical cross-correlation function of surface-intrinsic scalar attributes, weighted by the cross-correlation of the parameterization distortion. The Żnal similarity measure may be customized according to the surface- intrinsic scalar functions used in the application.

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Related Publications

B. Gutman, Y. Wang, T.F. Chan, P.M. Thompson, A.W. Toga, Shape Registration with Spherical Cross Correlation, 2nd MICCAI Workshop on Mathematical Foundations of Computational Anatomy, pp. 56-67