Disk Conformal Map

Conformally map a simply-connected open triangle mesh to the unit disk

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This code computes the disk conformal parameterizations (i.e. angle-preserving mappings onto the unit disk) of triangle meshes with disk topology using the fast method in [1], which has been applied for texture mapping, surface registration, mechanical engineering and so on. Any comments and suggestions are welcome.
If you use this code in your own work, please cite the following paper:
[1] P. T. Choi and L. M. Lui,
"Fast Disk Conformal Parameterization of Simply-Connected Open Surfaces."
Journal of Scientific Computing, 65(3), pp. 1065-1090, 2015.

Remark: Please make sure that the input mesh is a manifold mesh with disk topology. The existence of multiple holes or non-manifold vertices/edges may affect the computation.

For more information, please visit: https://scholar.harvard.edu/choi

Cite As

P. T. Choi and L. M. Lui, "Fast Disk Conformal Parameterization of Simply-Connected Open Surfaces." Journal of Scientific Computing, 65(3), pp. 1065-1090, 2015.

Acknowledgements

Inspired by: Spherical Conformal Map

Inspired: Rectangular Conformal Map

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General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.3.0.0

Modified tutte_map.m.

1.2.0.0

- Modified tutte_map.m.
- Slightly modified the description.
- Added a remark on the input mesh.

1.1.0.0

- Slightly modified the description.

1.0.0.0