Disk Conformal Map

version 1.3.0.0 (4.37 MB) by Gary Choi
Conformally map a simply-connected open triangle mesh to the unit disk

323 Downloads

Updated 8 Jul 2019

View License

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.

MATLAB Release Compatibility
Created with R2016a
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired by: Spherical Conformal Map

Inspired: Rectangular Conformal Map

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!