Spherical Conformal Map

Versione 1.5.0.2 (3,3 MB) da Gary Choi
Conformally map a genus-0 closed triangle mesh to the unit sphere
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Aggiornato 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

Cita come

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.

Compatibilità della release di MATLAB
Creato con R2016a
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Ispirato: Disk Conformal Map, Rectangular Conformal Map

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extension

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Versione Pubblicato Note della release
1.5.0.2

- Minor fixes.
1.5.0.1

- Uploaded a missing file.
1.5.0.0

Added a more recent approach for reducing the global area distortion of the spherical conformal parameterization while maintaining the conformality (see demo_extension.m).
1.4.0.0

- Slightly modified the description.
- Added a simple extension of our proposed method to achieve a more area-preserving map (see demo_extension.m and the codes in /extension).
- Slightly modified the description.
1.3.0.0

- Added a remark on the input mesh.
- Adjusted a parameter in the south-pole step for better stability.
- Added comments on the parameters.
- Modified the remark on the input mesh.
1.2.0.0

- Slightly modified the description.
1.1.0.0

- Made minor amendments in the description of the functions.
- Edited the plot_mesh function.
- Added angle_distortion for evaluating the angle-preserving property.
1.0.0.0