A New Closed-Form Information Metric for Shape Analysis

Adrian Peter 1 Anand Rangarajan 2
1 ECE - Department of Electrical and Computer Engineering [Florida]
2 CISE - Department of Computer and Information Science and Engineering [Gainesville]
Abstract : Recently, a unifying framework was introduced for shape matching that uses mixture-models and the Fisher-Rao metric to couple both the shape representation and deformation. A fundamental drawback of the Fisher-Rao metric is that it is NOT available in closed-form for the mixture models making shape comparisons computationally very expensive. Here, we propose a new Riemannian metric based on generalized Á- entropy measures. In sharp contrast to the Fisher-Rao metric, our new metric is available in closed-form.
Type de document :
Communication dans un congrès
Xavier Pennec and Sarang Joshi. 1st MICCAI Workshop on Mathematical Foundations of Computational Anatomy: Geometrical, Statistical and Registration Methods for Modeling Biological Shape Variability, Oct 2006, Copenhagen, Denmark. pp.100-101, 2006
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Adrian Peter, Anand Rangarajan. A New Closed-Form Information Metric for Shape Analysis. Xavier Pennec and Sarang Joshi. 1st MICCAI Workshop on Mathematical Foundations of Computational Anatomy: Geometrical, Statistical and Registration Methods for Modeling Biological Shape Variability, Oct 2006, Copenhagen, Denmark. pp.100-101, 2006. 〈inria-00635898〉

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