Advances in Discrete Differential Geometry

Chapter 1 Discrete Conformal Maps: Boundary Value Problems, Circle Domains, Fuchsian and Schottky Uniformization

Chapter 2 Discrete Complex Analysis on Planar Quad-Graphs

Chapter 3 Approximation of Conformal Mappings Using Conformally Equivalent Triangular Lattices

Chapter 4 Numerical Methods for the Discrete Map $$Z^a$$ Z a

Chapter 5 A Variational Principle for Cyclic Polygons with Prescribed Edge Lengths

Chapter 6 Complex Line Bundles Over Simplicial Complexes and Their Applications

Chapter 7 Holomorphic Vector Fields and Quadratic Differentials on Planar Triangular Meshes

Chapter 8 Vertex Normals and Face Curvatures of Triangle Meshes

Chapter 9 S-Conical CMC Surfaces. Towards a Unified Theory of Discrete Surfaces with Constant Mean Curvature

Chapter 10 Constructing Solutions to the Björling Problem for Isothermic Surfaces by Structure Preserving Discretization

Chapter 11 On the Lagrangian Structure of Integrable Hierarchies

Chapter 12 On the Variational Interpretation of the Discrete KP Equation

Chapter 14 DGD Gallery: Storage, Sharing, and Publication of Digital Research Data