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4D Space-Time Delaunay Meshing for Medical Images

Foteinos, Panagiotis and Nikos Chrisochoides

22nd International Meshing Roundtable, Springer-Verlag, pp.223-240, October 13-16 2013


22nd International Meshing Roundtable
Orlando, FL
October 13-16,2013

Computer Science Department, College of William and Mary, Virginia, U.S.A.
Computer Science Department, Old Dominion University, Virginia, U.S.A.

In this paper, we present a Delaunay refinement algorithm for 4- dimensional (3D+t) segmented images. The output mesh is proved to consist of sliver-free simplices. Assuming that the hyper-surface is a closed smooth manifold, we also guarantee faithful geometric and topological approximation. We implement and demonstrate the effectiveness of our method on publicly available segmented cardiac images.

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