DEFORMOTION: Deforming Motion, Shape Average and the Joint Registration and Segmentation of Images

What does it mean for a deforming object to be "moving" (see Fig. 1)? How can we separate the overall motion (a finite-dimensional group action) from the more general deformation (a diffeomorphism)? In this paper we propose a definition of motion for a deforming object and introduce a notion of "shape average" as the entity that separates the motion from the deformation. Our definition allows us to derive novel and efficient algorithms to register non-equivalent shapes using region-based methods, and to simultaneously approximate and register structures in grey-scale images. We also extend the notion of shape average to that of a "moving average" in order to track moving and deforming objects through time.

• Type: Conference
• Year: 2002
• Where: ECCV
• Authors: Stefano Soatto, Anthony J. Yezzi
• Keywords: Computer Vision, ECCV 2002, Finite-dimensional Group Action, General Deformation, Overall Motion, Shape Average