Abstract. This chapter introduces the background needed to develop a geometry-based, principled approach to computational modeling. We show that the use of dis-crete differential forms often resolves the apparent mismatch between differential and discrete modeling, for applications varying from graphics to physical simulations. 1
Discretization of curves is an ancient topic. Even discretization of curves with an eye toward diffe...
In Chapter 1, we define discrete objects like $\delta$-tangents, $\delta$-normals and $\delta$-curva...
Comprehensive and thorough, this monograph emphasizes the main role differential geometry and convex...
This chapter introduces the background needed to develop a geometry-based, principled approach to co...
This chapter introduces the background needed to develop a geometry-based, principled approach to co...
The emergence of computers as an essential tool in scientific research has shaken the very foundatio...
The emergence of computers as an essential tool in scientific research has shaken the very foundatio...
The emergence of computers as an essential tool in scientific research has shaken the very foundatio...
This is one of the first books on a newly emerging field of discrete differential geometry and an ex...
The geometry of manifolds has been extensively studied for centuries — though almost exclusively fro...
Instead of applying numerical methods directly to governing equations, another ap-proach to computat...
Differential geometry is deceptively simple. It is surprisingly easyto get the right answer with un...
In this thesis we present an elementary introduction to the Discrete differen- tial geometry. We wil...
What is a differential equation? Certain objects may have different, sometimes equivalent representa...
The amazing development in technology and industry during the last half of the twentieth century has...
Discretization of curves is an ancient topic. Even discretization of curves with an eye toward diffe...
In Chapter 1, we define discrete objects like $\delta$-tangents, $\delta$-normals and $\delta$-curva...
Comprehensive and thorough, this monograph emphasizes the main role differential geometry and convex...
This chapter introduces the background needed to develop a geometry-based, principled approach to co...
This chapter introduces the background needed to develop a geometry-based, principled approach to co...
The emergence of computers as an essential tool in scientific research has shaken the very foundatio...
The emergence of computers as an essential tool in scientific research has shaken the very foundatio...
The emergence of computers as an essential tool in scientific research has shaken the very foundatio...
This is one of the first books on a newly emerging field of discrete differential geometry and an ex...
The geometry of manifolds has been extensively studied for centuries — though almost exclusively fro...
Instead of applying numerical methods directly to governing equations, another ap-proach to computat...
Differential geometry is deceptively simple. It is surprisingly easyto get the right answer with un...
In this thesis we present an elementary introduction to the Discrete differen- tial geometry. We wil...
What is a differential equation? Certain objects may have different, sometimes equivalent representa...
The amazing development in technology and industry during the last half of the twentieth century has...
Discretization of curves is an ancient topic. Even discretization of curves with an eye toward diffe...
In Chapter 1, we define discrete objects like $\delta$-tangents, $\delta$-normals and $\delta$-curva...
Comprehensive and thorough, this monograph emphasizes the main role differential geometry and convex...