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17. Variational time-implicit multiphase level-sets a fast convex optimization-based solution

Author

Rajchl, Martin, Baxter, John S.H., Bae, Egil, Tai, Xue Cheng, Fenster, Aaron, Peters, Terry M., and Yuan, Jing

Subjects
ASeTs, Convex Optimization, Multiphase, Level-Set, Image Segmentation
Abstract

© Springer International Publishing Switzerland 2015. We propose a new principle, the variational region competition, to simultaneously propagate multiple disjoint level-sets in a fully time-implicit manner, minimizing the total cost w.r.t. region changes. We demonstrate, that the problem of multiphase level-set evolution can be reformulated in terms of a Potts problem, for which fast optimization algorithms are available using recent developments in convex relaxation. Further, we use an efficient recently proposed duality-based continuous max-flow method [1] implemented using massively parallel computing on GPUs for high computational performance. In contrast to conventional multi-phase level-set evolution approaches, ours allows for large time steps accelerating the evolution procedure. Further, the proposed method propagates all regions simultaneously, as opposed to the one-byone phase movement of current time-implicit implementations. Promising experiment results demonstrate substantial improvements in a wide spectrum of practical applications.

Published
2015

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