Transitive Inverse-Consistent Manifold Registration

Abstract. This paper presents a new registration method called Transitive InverseConsistent Manifold Registration (TICMR). The TICMR method jointly estimates correspondence maps between groups of three manifolds embedded in a higher dimensional image space while minimizing inverse consistency and transitivity errors. Registering three manifolds at once provides a means for minimizing the transitivity error which is not possible when registering only two manifolds. TICMR is an iterative method that uses the closest point projection operator to define correspondences between manifolds as they are non-rigidly registered. Examples of the TICMR method are presented for matching groups of three contours and groups of three surfaces. The contour registration is regularized by minimizing the change in bending energy of the curves while the surface registration is regularized by minimizing the change in elastic energy of the surfaces. The notions of inverse consistency error (ICE) and transiti...

• Type: Conference
• Year: 2005
• Where: IPMI
• Authors: Xiujuan Geng, Dinesh Kumar, Gary E. Christensen
• Keywords: IPMI 2005, Manifold, Medical Imaging, TICMR Method, Transitivity Error