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We consider the problem of matching two shapes assuming these shapes arerelated by an elastic deformation. Using linearized elasticity theory and thefinite element method we seek an elastic deformation that is caused by simpleexternal boundary forces and accounts for the difference between the twoshapes. Our main contribution is in proposing a cost function and anoptimization procedure to minimize the symmetric difference between thedeformed and the target shapes as an alternative to point matches that guidethe matching in other techniques. We show how to approximate the nonlinearoptimization problem by a sequence of convex problems. We demonstrate theutility of our method in experiments and compare it to an ICP-like matchingalgorithm.

Elasticity-based Matching by Minimizing the Symmetric Difference of Shapes