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4D Space-Time Delaunay Meshing for Medical Images

 

Panagiotis Foteinos and Nikos Chrisochoides.

 

Published in International Meshing Roundtable, Publisher Springer International, pages 223 -- 240, 2013

 

Abstract

 

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.