Medial/Skeletal Linking Structures for Multi-Region Configurations

Download or read book Medial/Skeletal Linking Structures for Multi-Region Configurations written by James Damon and published by . This book was released on 2017 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors consider a generic configuration of regions, consisting of a collection of distinct compact regions \{ \Omega_i\} in \mathbb{R}^{n+1} which may be either regions with smooth boundaries disjoint from the others or regions which meet on their piecewise smooth boundaries \mathcal{B}_i in a generic way. They introduce a skeletal linking structure for the collection of regions which simultaneously captures the regions' individual shapes and geometric properties as well as the "positional geometry" of the collection. The linking structure extends in a minimal way the individual "skeletal.