The Resource Discrete Differential Geometry, edited by Alexander I. Bobenko TU Berlin, Peter Schröder, John M. Sullivan, Günter M. Ziegler, (electronic resource)

Discrete Differential Geometry, edited by Alexander I. Bobenko TU Berlin, Peter Schröder, John M. Sullivan, Günter M. Ziegler, (electronic resource)

Label
Discrete Differential Geometry
Title
Discrete Differential Geometry
Statement of responsibility
edited by Alexander I. Bobenko TU Berlin, Peter Schröder, John M. Sullivan, Günter M. Ziegler
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
Summary
Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. Current progress in this field is to a large extent stimulated by its relevance for computer graphics and mathematical physics. This collection of essays, which documents the main lectures of the 2004 Oberwolfach Seminar on the topic, as well as a number of additional contributions by key participants, gives a lively, multi-facetted introduction to this emerging field
Member of
Dewey number
516.36
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
  • v4I061umWcI
  • vCgIGcmWhHU
  • J0cAyAk2z9E
  • bdTfrOeUgOs
Language note
English
LC call number
  • QA639.5-640.7
  • QA640.7-640.77
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • TU Berlin, Alexander I. Bobenko.
  • Schröder, Peter.
  • Sullivan, John M.
  • Ziegler, Günter M.
Series statement
Oberwolfach Seminars,
Series volume
38
http://library.link/vocab/subjectName
  • Discrete groups
  • Global differential geometry
  • Convex and Discrete Geometry
  • Differential Geometry
Label
Discrete Differential Geometry, edited by Alexander I. Bobenko TU Berlin, Peter Schröder, John M. Sullivan, Günter M. Ziegler, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Discretization of Surfaces: Special Classes and Parametrizations -- Surfaces from Circles -- Minimal Surfaces from Circle Patterns: Boundary Value Problems, Examples -- Designing Cylinders with Constant Negative Curvature -- On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces -- Discrete Hashimoto Surfaces and a Doubly Discrete Smoke-Ring Flow -- The Discrete Green’s Function -- Curvatures of Discrete Curves and Surfaces -- Curves of Finite Total Curvature -- Convergence and Isotopy Type for Graphs of Finite Total Curvature -- Curvatures of Smooth and Discrete Surfaces -- Geometric Realizations of Combinatorial Surfaces -- Polyhedral Surfaces of High Genus -- Necessary Conditions for Geometric Realizability of Simplicial Complexes -- Enumeration and Random Realization of Triangulated Surfaces -- On Heuristic Methods for Finding Realizations of Surfaces -- Geometry Processing and Modeling with Discrete Differential Geometry -- What Can We Measure? -- Convergence of the Cotangent Formula: An Overview -- Discrete Differential Forms for Computational Modeling -- A Discrete Model of Thin Shells
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (349 p.)
Form of item
online
Isbn
9783764386214
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-7643-8621-4
Specific material designation
remote
System control number
  • (CKB)1000000000405299
  • (EBL)371689
  • (OCoLC)261324878
  • (SSID)ssj0000294096
  • (PQKBManifestationID)11195930
  • (PQKBTitleCode)TC0000294096
  • (PQKBWorkID)10311892
  • (PQKB)11787092
  • (DE-He213)978-3-7643-8621-4
  • (MiAaPQ)EBC371689
  • (EXLCZ)991000000000405299
Label
Discrete Differential Geometry, edited by Alexander I. Bobenko TU Berlin, Peter Schröder, John M. Sullivan, Günter M. Ziegler, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Discretization of Surfaces: Special Classes and Parametrizations -- Surfaces from Circles -- Minimal Surfaces from Circle Patterns: Boundary Value Problems, Examples -- Designing Cylinders with Constant Negative Curvature -- On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces -- Discrete Hashimoto Surfaces and a Doubly Discrete Smoke-Ring Flow -- The Discrete Green’s Function -- Curvatures of Discrete Curves and Surfaces -- Curves of Finite Total Curvature -- Convergence and Isotopy Type for Graphs of Finite Total Curvature -- Curvatures of Smooth and Discrete Surfaces -- Geometric Realizations of Combinatorial Surfaces -- Polyhedral Surfaces of High Genus -- Necessary Conditions for Geometric Realizability of Simplicial Complexes -- Enumeration and Random Realization of Triangulated Surfaces -- On Heuristic Methods for Finding Realizations of Surfaces -- Geometry Processing and Modeling with Discrete Differential Geometry -- What Can We Measure? -- Convergence of the Cotangent Formula: An Overview -- Discrete Differential Forms for Computational Modeling -- A Discrete Model of Thin Shells
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (349 p.)
Form of item
online
Isbn
9783764386214
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-7643-8621-4
Specific material designation
remote
System control number
  • (CKB)1000000000405299
  • (EBL)371689
  • (OCoLC)261324878
  • (SSID)ssj0000294096
  • (PQKBManifestationID)11195930
  • (PQKBTitleCode)TC0000294096
  • (PQKBWorkID)10311892
  • (PQKB)11787092
  • (DE-He213)978-3-7643-8621-4
  • (MiAaPQ)EBC371689
  • (EXLCZ)991000000000405299

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