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Medial/Skeletal Linking Structures for Multi-Region Configurations.

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Damon, James
Otros Autores: Gasparovic, Ellen
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2018.
Colección:Memoirs of the American Mathematical Society.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Damon, James. 
245 1 0 |a Medial/Skeletal Linking Structures for Multi-Region Configurations. 
260 |a Providence :  |b American Mathematical Society,  |c 2018. 
300 |a 1 online resource (180 pages). 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Memoirs of the American Mathematical Society ;  |v v. 250 
588 0 |a Print version record. 
505 0 |a Cover; Title page; Chapter 1. Introduction; Part 1 . Medial/Skeletal Linking Structures; Chapter 2. Multi-Region Configurations in \Râ#x81;¿â#x81;ð¹; Local Models for Regions at Singular Points on Boundary; The Space of Equivalent Configurations via Mappings of a Model; Configurations Allowing Containment of Regions; Chapter 3. Skeletal Linking Structures for Multi-Region Configurations in \Râ#x81;¿â#x81;ð¹; Skeletal Structures for Single Regions; Skeletal Linking Structures for Multi-Region Configurations; Linking Between Regions and Between Skeletal Sets. 
505 8 |a Chapter 4. Blum Medial Linking Structure for a Generic Multi-Region ConfigurationBlum Medial Axis for a Single Region with Smooth Generic Boundary; Structure of Maxwell Set Described by \cRâ#x81;ð-Versal Unfoldings; Addendum to Generic Blum Structure for a Region with Boundaries and Corners; Spherical Axis of a Configuration; Blum Medial Linking Structure; Existence of a Blum Medial Linking Structure; Addendum: Classification of Linking Types for Blum Medial Linking Structures in \R³; Chapter 5. Retracting the Full Blum Medial Structure to a Skeletal Linking Structure. 
505 8 |a Example of Evolving Skeletal Linking Structure for Simple Generic TransitionRetracting Full Blum Linking Structure via Smoothing; Part 2 . Positional Geometry of Linking Structures; Chapter 6. Questions Involving Positional Geometry of a Multi-Region Configuration; Chapter 7. Shape Operators and Radial Flow for a Skeletal Structure; The Radial Flow; Radial and Edge Shape Operators; Curvature Conditions and Nonsingularity of the Radial Flow; Evolution of the Shape Operators Under the Radial Flow; Chapter 8. Linking Flow and Curvature Conditions; Nonsingularity of the Linking Flow. 
505 8 |a Special MÃœbius Transformations of Matrices and OperatorsEvolution of the Shape Operators Under the Linking Flow; Chapter 9. Properties of Regions Defined Using the Linking Flow; Medial/Skeletal Linking Structures in the Unbounded Case; Medial/Skeletal Linking Structures for the Bounded Case; Chapter 10. Global Geometry via Medial and Skeletal Linking Integrals; Defining Medial and Skeletal Linking Integrals; Computing Boundary Integrals via Medial Linking Integrals; Computing Integrals as Skeletal Linking Integrals via the Linking Flow. 
505 8 |a Skeletal Linking Integral Formulas for Global InvariantsChapter 11. Positional Geometric Properties of Multi-Region Configurations; Neighboring Regions and Measures of Closeness; Measuring Positional Significance of Objects Via Linking Structures; Properties of Invariants for Closeness and Positional Significance; Tiered Linking Graph; Higher Order Positional Geometric Relations via Indirect Linking; Part 3 . Generic Properties of Linking Structures via Transversality Theorems; Chapter 12. Multi-Distance and Height-Distance Functions and Partial Multi-Jet Spaces. 
500 |a Multi-Distance and Height-Distance Functions. 
520 |a 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. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Geometry, Differential. 
650 0 |a Generalized spaces. 
650 0 |a Compact spaces. 
650 0 |a Configurations. 
650 6 |a Géométrie différentielle. 
650 6 |a Espaces généralisés. 
650 6 |a Espaces compacts. 
650 6 |a Configurations. 
650 7 |a Compact spaces  |2 fast 
650 7 |a Configurations  |2 fast 
650 7 |a Generalized spaces  |2 fast 
650 7 |a Geometry, Differential  |2 fast 
700 1 |a Gasparovic, Ellen. 
758 |i has work:  |a Medial/skeletal linking structures for multi-region configurations (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCFYj7y6vrtcm7qBymPv3FC  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Damon, James.  |t Medial/Skeletal Linking Structures for Multi-Region Configurations.  |d Providence : American Mathematical Society, ©2018  |z 9781470426804 
830 0 |a Memoirs of the American Mathematical Society. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5291694  |z Texto completo 
938 |a EBL - Ebook Library  |b EBLB  |n EBL5291694 
994 |a 92  |b IZTAP