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
Double Cover

heads
heads
Front view of the doubled face
Back view of the doubled face

Algorithm Description

Double cover a mesh with boundaries to form a symmetric closed mesh.

Input and output

  • The input is a mesh with boundaries.
  • The output is the symmetric closed mesh obtained by double covering the input mesh.

Command

   double.exe face.nf5k.m 2face.m
   The output is
   2face.m

Computational Stability

   The computation is purely combinatorial, it is very stable.

Example

   The input mesh has 5k 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.