Coupled PDEs for non-rigid registration and segmentation

• Published in: 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) Vol. 1; pp. 168 - 175 vol. 1
• Main Authors: Unal, G., Slabaugh, G.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 2005
• Subjects: Anatomical structure; Application software; Biomedical imaging; Deformable models; Image motion analysis; Image segmentation; Joints; Medical diagnostic imaging; Partial differential equations; Shape
• DOI: 10.1109/CVPR.2005.115
• ISBN: 0769523722; 9780769523729
• ISSN: 1063-6919

In this paper we present coupled partial differential equations (PDEs) for the problem of joint segmentation and registration. The registration component of the method estimates a deformation field between boundaries of two structures. The desired coupling comes from two PDEs that estimate a common surface through segmentation and its non-rigid registration with a target image. The solutions of these two PDEs both decrease the total energy of the surface, and therefore aid each other in finding a locally optimal solution. Our technique differs from recently popular joint segmentation and registration algorithms, all of which assume a rigid transformation among shapes. We present both the theory and results that demonstrate the effectiveness of the approach.