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Damon, J: Medial/Skeletal Linking Structures for Multi-Regi (Memoirs of the American Mathematical Society, Band 250) - Softcover

Damon, James; Gasparovic, Ellen

 
9781470426804: Damon, J: Medial/Skeletal Linking Structures for Multi-Regi (Memoirs of the American Mathematical Society, Band 250)

Inhaltsangabe

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 structures'' on each of the regions. This allows the authors to significantly extend the mathematical methods introduced for single regions to the configuration of regions.

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Über die Autorin bzw. den Autor

James Damon, University of North Carolina, Chapel Hill, NC.

Ellen Gasparovic, Duke University, Durham, NC.

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