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SIAM J. Appl. Math. 58, pp. 565-586 (22 pages)
Computable Elastic Distances Between Shapes
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Add to FacebookWe define distances between geometric curves by the square root of the minimal energy required to transform one curve into the other. The energy is formally defined from a left invariant Riemannian distance on an infinite dimensional group acting on the curves, which can be explicitly computed. The obtained distance boils down to a variational problem for which an optimal matching between the curves has to be computed. An analysis of the distance when the curves are polygonal leads to a numerical procedure for the solution of the variational problem, which can efficiently be implemented, as illustrated by experiments.
© 1998 Society for Industrial and Applied Mathematics
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