A Computational Geometric Approach to Shape Analysis in Images

We present a geometric approach to statistical shape analysis of closed curves in images. The basic idea is to specify a space of closed curves satisfying given constraints, and exploit the differential geometry of this space to solve optimization and inference problems. We demonstrate this approach by: (i) defining and computing statistics of observed shapes, (ii) defining and learning a parametric probability model on shape space, and (iii) designing a binary hypothesis test on this space.

• Type: Conference
• Year: 2003
• Where: NIPS
• Authors: Anuj Srivastava, Xiuwen Liu, Washington Mio, Eric Klassen
• Keywords: Closed Curves, NIPS 2003, NIPS 2007, Parametric Probability Model, Statistical Shape Analysis