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4D Space-Time Delaunay Meshing for Medical Images

 

Panagiotis Foteinos and Nikos Chrisochoides.

 

Published in Engineering with Computers, Publisher Springer London, doi:10.1007/s00366-014-0380-z, Volume 31, pages 499 -- 511, July, 2015

 

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. Finally, we devise a tightlycoupled parallelization technique to boost the performance of our 4- dimensional mesher, thereby taking advantage of the multi-core and many-core platforms already available in the market.