Softcover ISBN: | 978-1-4704-4662-8 |
Product Code: | PSAPM/76 |
List Price: | $118.00 |
MAA Member Price: | $106.20 |
AMS Member Price: | $94.40 |
eBook ISBN: | 978-1-4704-6003-7 |
Product Code: | PSAPM/76.E |
List Price: | $118.00 |
MAA Member Price: | $106.20 |
AMS Member Price: | $94.40 |
Softcover ISBN: | 978-1-4704-4662-8 |
eBook: ISBN: | 978-1-4704-6003-7 |
Product Code: | PSAPM/76.B |
List Price: | $236.00 $177.00 |
MAA Member Price: | $212.40 $159.30 |
AMS Member Price: | $188.80 $141.60 |
Softcover ISBN: | 978-1-4704-4662-8 |
Product Code: | PSAPM/76 |
List Price: | $118.00 |
MAA Member Price: | $106.20 |
AMS Member Price: | $94.40 |
eBook ISBN: | 978-1-4704-6003-7 |
Product Code: | PSAPM/76.E |
List Price: | $118.00 |
MAA Member Price: | $106.20 |
AMS Member Price: | $94.40 |
Softcover ISBN: | 978-1-4704-4662-8 |
eBook ISBN: | 978-1-4704-6003-7 |
Product Code: | PSAPM/76.B |
List Price: | $236.00 $177.00 |
MAA Member Price: | $212.40 $159.30 |
AMS Member Price: | $188.80 $141.60 |
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Book DetailsProceedings of Symposia in Applied MathematicsVolume: 76; 2020; 140 ppMSC: Primary 53; 52; 65
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.
ReadershipGraduate students and researchers interested in discrete differential geometry and its applications.
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Table of Contents
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Articles
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Max Wardetzky — Discrete Laplace operators
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Johannes Wallner — Discrete parametric surfaces
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Yaron Lipman — Discrete mappings
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Keenan Crane — Conformal geometry of simplicial surfaces
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Justin Solomon — Optimal transport on discrete domains
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
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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.
Graduate students and researchers interested in discrete differential geometry and its applications.
-
Articles
-
Max Wardetzky — Discrete Laplace operators
-
Johannes Wallner — Discrete parametric surfaces
-
Yaron Lipman — Discrete mappings
-
Keenan Crane — Conformal geometry of simplicial surfaces
-
Justin Solomon — Optimal transport on discrete domains