An Excursion Through Discrete Differential Geometry by Keenan Crane

An Excursion Through Discrete Differential Geometry by Keenan Crane

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.

Keenan Crane, Carnegie Mellon University, Pittsburgh, PA

SKU	Nicht verfügbar
ISBN 13	9781470446628
ISBN 10	1470446626
Titel	An Excursion Through Discrete Differential Geometry
Autor	Keenan Crane
Serie	Proceedings Of Symposia In Applied Mathematics
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	American Mathematical Society
Erscheinungsjahr	2021-01-30
Seitenanzahl	76
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar