Automated Surface Matching Using Mutual Information Applied to Riemann Surface Structures

Many medical imaging applications require the computation of dense correspondence vector fields that match one surface with another. To avoid the need for a large set of manually-defined landmarks to constrain these surface correspondences, we developed an algorithm to automate the matching of surface features. It extends the mutual information method to automatically match general 3D surfaces (including surfaces with a branching topology). First, we use holomorphic 1-forms to induce consistent conformal grids on both surfaces. High genus surfaces are mapped to a set of rectangles in the Euclidean plane, and closed genus-zero surfaces are mapped to the sphere. Mutual information is used as a cost functional to drive a fluid flow in the parameter domain that optimally aligns stable geometric features (mean curvature and the conformal factor) in the 2D parameter domains. A diffeomorphic surfaceto-surface mapping is then recovered that matches anatomy in 3D. We also present a spectral met...

• Type: Conference
• Year: 2005
• Where: MICCAI
• Authors: Yalin Wang, Ming-Chang Chiang, Paul M. Thompson
• Keywords: Conformal Factor, Consistent Conformal Grids, Hippocampal Surface Registration, Medical Imaging, MICCAI 2005