Geodesic Curves for Analysis of Continuous Implicit Shapes

Authors:
Jan Erik Solem
Affiliations:
Malmo University, Sweden
Venue:
ICPR '06 Proceedings of the 18th International Conference on Pattern Recognition - Volume 01
Year:
2006

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SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
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Computer Vision and Image Understanding

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Abstract

A method is proposed for performing shape analysis of m-surfaces, e.g. planar curves and surfaces, with a geometric interpretation. The analysis uses an implicit surface representation and connects the popular level set approach with shape analysis. The representation is continuous and completely landmark-free. Shapes are represented as points on an infinite-dimensional manifold and the distance between two surfaces is given by the length of a path on this manifold. The analysis is valid in any dimension and examples of applications such as interpolation and clustering are given.