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

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.