"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…
Discrete Laplace operators / Max Wardetzky -- Discrete parametric surfaces / Johannes Wallner -- Discrete mappings / Yaron Lipman -- Conformal geometry of simplicial surfaces / Keenan Crane -- Optimal transport on discrete domains / Justin Solomon.
"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…
"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…
This book presents a panorama of recent developments in the theory of tilings and related dynamical systems. It contains an expanded version of courses given in 2017 at the research school associated with the Jean-Morlet chair program. Tilings have been designed, used and studie…
This volume collects papers based on talks given at the conference “Geometrias'19: Polyhedra and Beyond”, held in the Faculty of Sciences of the University of Porto between September 5-7, 2019 in Portugal. These papers explore the conference's theme from an interdisciplinary sta…
by Bezdek Károly, Lángi, Zsolt
fromDiscrete mathematics and its applications
"Volume of geometric objects was studied by ancient Greek mathematicians. In discrete geometry, a relatively new branch of geometry, volume plays a significant role in generating topics for research. Part I consists of survey chapters of selected topics on volume and Part II con…
by Bezdek Károly, Lángi, Zsolt
fromDiscreet mathematics and its applications
"Volume of geometric objects was studied by ancient Greek mathematicians. In discrete geometry, a relatively new branch of geometry, volume plays a significant role in generating topics for research. Part I consists of survey chapters of selected topics on volume and Part II con…
"Volume of geometric objects was studied by ancient Greek mathematicians. In discrete geometry, a relatively new branch of geometry, volume plays a significant role in generating topics for research. Part I consists of survey chapters of selected topics on volume and Part II con…
Discrete geometry investigates combinatorial properties of configurations of geometric objects. To a working mathematician or computer scientist, it offers sophisticated results and techniques of great diversity and it is a foundation for fields such as computational geometry or…
This book is primarily a textbook introduction to various areas of discrete geometry. In each area, it explains several key results and methods, in an accessible and concrete manner. It also contains more advanced material in separate sections.
