Medial/Skeletal Linking Structures for Multi-Region Configurations (eBook)

James Damon (Autor)

eBook Download: PDF

163 Seiten
American Mathematical Society (Verlag)
978-1-4704-4210-1 (ISBN)

Infos

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 "e;positional geometry"e; of the collection. The linking structure extends in a minimal way the individual "e;skeletal structures"e; on each of the regions. This allows the authors to significantly extend the mathematical methods introduced for single regions to the configuration of regions.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• ISBN-10: 1-4704-4210-8 / 1470442108
• ISBN-13: 978-1-4704-4210-1 / 9781470442101