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A Novel Representation for Riemannian Analysis of Elastic Curves in ℝ



A Novel Representation for Riemannian Analysis of Elastic Curves in ℝ



Proceedings. IEEE Computer Society Conference on Computer Vision and Pattern Recognition 2007(17-22 June 2007): 1-7



We propose a novel representation of continuous, closed curves in ℝ(n) that is quite efficient for analyzing their shapes. We combine the strengths of two important ideas - elastic shape metric and path-straightening methods -in shape analysis and present a fast algorithm for finding geodesics in shape spaces. The elastic metric allows for optimal matching of features while path-straightening provides geodesics between curves. Efficiency results from the fact that the elastic metric becomes the simple (2) metric in the proposed representation. We present step-by-step algorithms for computing geodesics in this framework, and demonstrate them with 2-D as well as 3-D examples.

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Accession: 051071449

Download citation: RISBibTeXText

PMID: 21311729

DOI: 10.1109/cvpr.2007.383185


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