An Excursion Through Discrete Differential Geometry

Keenan Crane

ISBN 10: 1470446626 / ISBN 13: 9781470446628

Verlag: American Mathematical Society Jan 2021, 2021

Beschreibung

Neuware - Discrete Differential Geometry (DDG) is an emerging discipline at the boundary between mathematics and computer science. It aims to translate concepts from classical differential geometry into a language that is purely finite and discrete, and can hence be used by algorithms to reason about geometric data. In contrast to standard numerical approximation, the central philosophy of DDG is to faithfully and exactly preserve key invariants of geometric objects at the discrete level. This process of translation from smooth to discrete helps to both illuminate the fundamental meaning behind geometric ideas and provide useful algorithmic guarantees. This volume is based on lectures delivered at the 2018 AMS Short Course ``Discrete Differential Geometry,'' held January 8-9, 2018, in San Diego, California. The papers in this volume illustrate the principles of DDG via several recent topics: discrete nets, discrete differential operators, discrete mappings, discrete conformal geometry, and discrete optimal transport.

Bestandsnummer des Verkäufers 9781470446628

Bibliografische Details

• Titel: An Excursion Through Discrete Differential Geometry
• Verlag: American Mathematical Society Jan 2021
• Erscheinungsjahr: 2021
• Sprache: Englisch
• ISBN-10: 1470446626
• ISBN-13: 9781470446628
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

Discrete Differential Geometry (DDG) is an emerging discipline at the boundary between mathematics and computer science. It aims to translate concepts from classical differential geometry into a language that is purely finite and discrete, and can hence be used by algorithms to reason about geometric data. In contrast to standard numerical approximation, the central philosophy of DDG is to faithfully and exactly preserve key invariants of geometric objects at the discrete level. This process of translation from smooth to discrete helps to both illuminate the fundamental meaning behind geometric ideas and provide useful algorithmic guarantees. This volume is based on lectures delivered at the 2018 AMS Short Course ``Discrete Differential Geometry,'' held January 8-9, 2018, in San Diego, California. The papers in this volume illustrate the principles of DDG via several recent topics: discrete nets, discrete differential operators, discrete mappings, discrete conformal geometry, and discrete optimal transport.

Über die Autorin bzw. den Autor

Keenan Crane, Carnegie Mellon University, Pittsburgh, PA