Spherical Conformal Map

version 1.5.0.2 (3.3 MB) by Gary Choi
Conformally map a genus-0 closed triangle mesh to the unit sphere

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Updated 30 Apr 2020

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This code computes the spherical conformal parameterizations (i.e. angle-preserving mappings onto the unit sphere) of genus-0 closed triangle meshes using the linear method in [1], which has been applied for human brain mapping, texture mapping, surface registration, cardiac mapping 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, K. C. Lam, and L. M. Lui,
"FLASH: Fast Landmark Aligned Spherical Harmonic Parameterization for Genus-0 Closed Brain Surfaces."
SIAM Journal on Imaging Sciences, vol. 8, no. 1, pp. 67-94, 2015.

Remark:
1. Please make sure that the input mesh is a manifold mesh with spherical topology. The existence of holes or non-manifold vertices/edges may affect the computation.
2. While our method focuses on spherical conformal parameterizations, it can be extended for further reducing the area distortion without affecting the conformality (see demo_extension.m and the codes in the directory /extension).

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

Cite As

P. T. Choi, K. C. Lam, and L. M. Lui, "FLASH: Fast Landmark Aligned Spherical Harmonic Parameterization for Genus-0 Closed Brain Surfaces." SIAM Journal on Imaging Sciences, vol. 8, no. 1, pp. 67-94, 2015.

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

Inspired: Disk Conformal Map, Rectangular Conformal Map

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