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ISBI
2006
IEEE
13 years 10 months ago
Shape analysis using the Fisher-Rao Riemannian metric: unifying shape representation and deformation
— We show that the Fisher-Rao Riemannian metric is a natural, intrinsic tool for computing shape geodesics. When a parameterized probability density function is used to represent...
Adrian Peter, Anand Rangarajan
MICCAI
2006
Springer
14 years 5 months ago
A New Closed-Form Information Metric for Shape Analysis
Shape matching plays a prominent role in the analysis of medical and biological structures. Recently, a unifying framework was introduced for shape matching that uses mixture-model...
Adrian Peter, Anand Rangarajan
CVPR
2004
IEEE
14 years 6 months ago
Elastic-String Models for Representation and Analysis of Planar Shapes
We develop a new framework for the quantitative analysis of shapes of planar curves. Shapes are modeled on elastic strings that can be bent, stretched or compressed at different r...
Washington Mio, Anuj Srivastava
IJCV
2010
249views more  IJCV 2010»
13 years 2 months ago
A Computational Model of Multidimensional Shape
We develop a computational model of shape that extends existing Riemannian models of shape of curves to multidimensional objects of general topological type. We construct shape sp...
Xiuwen Liu, Yonggang Shi, Ivo D. Dinov, Washington...
CVPR
2010
IEEE
14 years 6 days ago
A Novel Riemannian Framework for Shape Analysis of 3D Objects
In this paper we introduce a novel Riemannian framework for shape analysis of parameterized surfaces. We derive a distance function between any two surfaces that is invariant to r...
Sebastian Kurtek, Eric Klassen, Anuj Srivastava, Z...