The Shannon Entropy-Based Node Placement for Enrichment and Simplification of Meshes

Authors:
Vladimir Savchenko;Maria Savchenko;Olga Egorova;Ichiro Hagiwara
Affiliations:
Hosei University, Tokyo, Japan;InterLocus Inc.Tokyo, Japan;Tokyo Institute of Technology, Tokyo, Japan;Tokyo Institute of Technology, Tokyo, Japan
Venue:
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
Year:
2007

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Abstract

In this paper, we present a novel simple method based on the idea of exploiting the Shannon entropy as a measure of the inter-influence relationships between neighboring nodes of a mesh to optimize node locations. The method can be used in a pre-processing stage for subsequent studies such as finite element analysis by providing better input parameters for these processes. Experimental results are included to demonstrate the functionality of our method.