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Curve registration problems in data analysis and computer vision can often be reduced to the problem of matching two functions defined on an interval. Dynamic Programming (DP) is an effective approach to solve this problem. In this paper, we propose a DP algorithm that runs in O(N) time to compute optimal diffeomorphisms for elastic registration of curves with N nodes. This algorithm contrasts favorably...
Effective computational tools for shape analysis are needed in many areas of science and engineering. We address this and propose a new fast iterative algorithm to compute the elastic geodesic distance between shapes of closed planar curves. The original algorithm for this has cubic time complexity with respect to the number of nodes per curve. Hence it is not suitable for large shape data sets. We...
Recent advances in experimental techniques (micro-CT scans, automated serial sectioning, electron back-scatter diffraction, and synchrotron radiation X-rays) have made it possible to characterize the full, three-dimensional structure of real materials. Such new experimental techniques have created a need for software tools that can model the response of these materials under various kinds of loads...
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