Computational Conformal Geometry Library - CCGL
CCGL logo

Introduction

Getting CCGL
    Download
    Installation

Development Guide
    Architecture
    Performance

Gallery
    Snapshots
    Movies
Mesh Data Structure
    Viewer
Topology
    Cut Graph
    Slicer
    Double Cover
    Homology Basis
Conformal Maps
    Harmonic Map
    Spherical Harmonic Map
    LSCM
Holomorphic 1-Form
    Integration
    Harmonic 1-Form
    Holomorphic 1-Form
    Slit Map
Curvature Flow
    Euclidean Ricci Flow
    Poly Annulus Ricci Flow
    Hyperbolic Ricci Flow
    Yamabe Flow
Documentation
    Reference Book
Acknowledgements
integrate

heads
heads
heads
kitten.nf20k.domain.m
kitten.nf20k.uv.m
kitten.nf20k.uv.m

Algorithm Description

The algorithm compupte the integration of a holomorphic 1-form on the fudamental domain to generate a conformal parameterization.

Input and output

  • The inputs are holomoprhic 1-form and a fundamental domain.
  • The output is the integration result, represented as uv coordinates on vertices.

Command

   integrate.exe kitten.nf20k.duv.m kitten.nf20k.domain.m kitten.nf20k.uv.m
   The output is
   kitten.nf20k.uv.m

Computational Stability

   The computation is very stable and fast.

Example

   The input mesh has 20k faces. The computational time is less than 1 seconds on a PC with 3.0 GB of RAM, 3.60 GHz CPU. The data set and the source can be downloaded.