Abstract
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-by-one phase movement of current time-implicit implementations. Promising experiment results demonstrate substantial improvements in a wide spectrum of practical applications.
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Rajchl, M. et al. (2015). Variational Time-Implicit Multiphase Level-Sets. In: Tai, XC., Bae, E., Chan, T.F., Lysaker, M. (eds) Energy Minimization Methods in Computer Vision and Pattern Recognition. EMMCVPR 2015. Lecture Notes in Computer Science, vol 8932. Springer, Cham. https://doi.org/10.1007/978-3-319-14612-6_21
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DOI: https://doi.org/10.1007/978-3-319-14612-6_21
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