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Advances in Discrete Differential Geometry

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Cover of 'Advances in Discrete Differential Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Discrete Conformal Maps: Boundary Value Problems, Circle Domains, Fuchsian and Schottky Uniformization
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    Chapter 2 Discrete Complex Analysis on Planar Quad-Graphs
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    Chapter 3 Approximation of Conformal Mappings Using Conformally Equivalent Triangular Lattices
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    Chapter 4 Numerical Methods for the Discrete Map $$Z^a$$ Z a
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    Chapter 5 A Variational Principle for Cyclic Polygons with Prescribed Edge Lengths
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    Chapter 6 Complex Line Bundles Over Simplicial Complexes and Their Applications
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    Chapter 7 Holomorphic Vector Fields and Quadratic Differentials on Planar Triangular Meshes
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    Chapter 8 Vertex Normals and Face Curvatures of Triangle Meshes
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    Chapter 9 S-Conical CMC Surfaces. Towards a Unified Theory of Discrete Surfaces with Constant Mean Curvature
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    Chapter 10 Constructing Solutions to the Björling Problem for Isothermic Surfaces by Structure Preserving Discretization
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    Chapter 11 On the Lagrangian Structure of Integrable Hierarchies
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    Chapter 12 On the Variational Interpretation of the Discrete KP Equation
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    Chapter 13 Six Topics on Inscribable Polytopes
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    Chapter 14 DGD Gallery: Storage, Sharing, and Publication of Digital Research Data
Attention for Chapter 6: Complex Line Bundles Over Simplicial Complexes and Their Applications
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