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An interactive surgical simulation system needs to meet three main requirements, speed, accuracy, and stability. In this paper, we present a stable and accurate method for animating mass-spring systems in real time. An integration scheme derived from explicit integration is used to obtain interactive realistic animation for a multiobject environment. We(More)
We propose a new variant of the Mumford-Shah model for simultaneous bias correction and segmentation of images with intensity inhomogeneity. First, based on the model of images with intensity inhomogeneity, we introduce an L0 gradient regularizer to model the true intensity and a smooth regularizer to model the bias field. In addition, we derive a new data(More)
Domain decomposition methods are well-known techniques to address a very large scale problem by splitting it into smaller scale sub-problems. The theory of such methods is fully clarified when the energy minimized by the method is either smooth and strictly convex or splits additively with respect to the decomposition. Otherwise counterexamples to(More)