These notes provide an introduction to working with real-world geometric data, expressed in the language of discrete exterior calculus (DEC). DEC is a simple, flexible, and efficient framework which provides a unified platform for geometry processing. The notes provide essential mathematical background as well as a large array of real-world examples, with an emphasis on applications and implementation. The material should be accessible to anyone with some exposure to basic linear algebra and vector calculus, though most of the key concepts are reviewed as needed. Coding exercises depend on a basic knowledge of C++, though knowledge of any programming language is likely sufficient: we do not make heavy use of paradigms like inheritanc...
International audienceComputing differential quantities or solving partial derivative equations on d...
This article describes the algorithms, features, and implementation of PyDEC, a Python library for c...
These notes are aimed at mathematics graduate students familiar with introductory algebrai
The methods of Discrete Exterior Calculus (DEC) have given birth to many new algorithms applicable t...
El presente documento resume los resultados de un proyecto de investigación sobre la construcción e ...
We revisit the theory of Discrete Exterior Calculus (DEC) in 2D for general triangulations, relying ...
This paper introduces a new computational method to solve differential equations on subdivision surf...
This chapter introduces the background needed to develop a geometry-based, principled approach to co...
This approachable text studies discrete objects and the relationsips that bind them. It helps studen...
A formulation of elliptic boundary value problems is used to develop the first discrete exterior cal...
For many decades, researchers agree that designing physics-conserving numerical solvers should be do...
This book provides comprehensive coverage of the modern methods for geometric problems in the comput...
International audienceIn recent decades, the approach to calculus in mathematics classrooms has chan...
This is one of the first books on a newly emerging field of discrete differential geometry and an ex...
Abstract. This paper describes work in progress, towards the formulation, implementation and testing...
International audienceComputing differential quantities or solving partial derivative equations on d...
This article describes the algorithms, features, and implementation of PyDEC, a Python library for c...
These notes are aimed at mathematics graduate students familiar with introductory algebrai
The methods of Discrete Exterior Calculus (DEC) have given birth to many new algorithms applicable t...
El presente documento resume los resultados de un proyecto de investigación sobre la construcción e ...
We revisit the theory of Discrete Exterior Calculus (DEC) in 2D for general triangulations, relying ...
This paper introduces a new computational method to solve differential equations on subdivision surf...
This chapter introduces the background needed to develop a geometry-based, principled approach to co...
This approachable text studies discrete objects and the relationsips that bind them. It helps studen...
A formulation of elliptic boundary value problems is used to develop the first discrete exterior cal...
For many decades, researchers agree that designing physics-conserving numerical solvers should be do...
This book provides comprehensive coverage of the modern methods for geometric problems in the comput...
International audienceIn recent decades, the approach to calculus in mathematics classrooms has chan...
This is one of the first books on a newly emerging field of discrete differential geometry and an ex...
Abstract. This paper describes work in progress, towards the formulation, implementation and testing...
International audienceComputing differential quantities or solving partial derivative equations on d...
This article describes the algorithms, features, and implementation of PyDEC, a Python library for c...
These notes are aimed at mathematics graduate students familiar with introductory algebrai