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Hausdorff Distance Constraint for Multi-surface Segmentation
Frank R. Schmidt1 and Yuri Boykov2
1Université Paris Est, France
2University of Western Ontario, Canada
Abstract. It is well known that multi-surface segmentation can be cast as a multi-labeling problem. Different segments may belong to the same semantic object which may impose various inter-segment constraints [1]. In medical applications, there are a lot of scenarios where upper bounds on the Hausdorff distances between subsequent surfaces are known. We show that incorporating these priors into multi-surface segmentation is potentially NP-hard. To cope with this problem we develop a submodular-supermodular procedure that converges to a locally optimal solution well-approximating the problem. While we cannot guarantee global optimality, only feasible solutions are considered during the optimization process. Empirically, we get useful solutions for many challenging medical applications including MRI and ultrasound images.
LNCS 7572, p. 598 ff.
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© Springer-Verlag Berlin Heidelberg 2012