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Medial/Skeletal Linking Structures for Multi-Region Configurations

By: James Damon,Ellen Gasparovic

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Medial/Skeletal Linking Structures for Multi-Region Configurations

By: James Damon,Ellen Gasparovic

The authors consider a generic configuration of regions, consisting of a collection of distinct compact regions in which may be either regions with smooth boundaries disjoint from the others or regions which meet on their piecewise smooth boundaries 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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Page Count

180

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470426803

ISBN 13

9781470426804

Medial/Skeletal Linking Structures for Multi-Region Configurations

By: James Damon,Ellen Gasparovic

Write a review Read reviews Take a Quiz Solve Book Puzzle

Medial/Skeletal Linking Structures for Multi-Region Configurations

By: James Damon,Ellen Gasparovic

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.

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Page Count

163

Published Date

ISBN 10

1470442108

ISBN 13

9781470442101

Book's by Ellen Gasparovic

Medial/Skeletal Linking Structures for Multi-Region Configurations

Medial/Skeletal Linking Structures for Multi-Region Configurations

Medial/Skeletal Linking Structures for Multi-Region Configurations

Medial/Skeletal Linking Structures for Multi-Region Configurations

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