Global minima via dynamic programming: energy minimizing active contours

Sharat Chandran; Tsukasa Maejima; Sanae Miyazaki

doi:10.1117/12.48441

1 September 1991 Global minima via dynamic programming: energy minimizing active contours

Sharat Chandran, Tsukasa Maejima, Sanae Miyazaki

Author Affiliations +

Proceedings Volume 1570, Geometric Methods in Computer Vision; (1991) https://doi.org/10.1117/12.48441
Event: San Diego, '91, 1991, San Diego, CA, United States

Abstract

Reconstruction of objects from a scene may be viewed as a data fitting problem using energy minimizing splines as the basic shape. The process of obtaining the minimum to construct the "best" shape can sometimes be important. Recently, [AWJ9O] brought to light some of the potential problems in the Euler-Lagrangian variational solution proposed in the original formulation [KWT87], and suggested a dynamic programming method. In this paper we further develop the dynamic programming solution. We show that in certain cases, the discrete form of the solution in [AWJ9O] may also produce local minimums, and develop a strategy to avoid this. In the continuous domain, we provide a stronger form of the conditions necessary to derive a solution when the energy depends on the second derivative, as in the case of "active contours."

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Sharat Chandran, Tsukasa Maejima, and Sanae Miyazaki "Global minima via dynamic programming: energy minimizing active contours", Proc. SPIE 1570, Geometric Methods in Computer Vision, (1 September 1991); https://doi.org/10.1117/12.48441

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