garyptchoi/spherical-conformal-map

Spherical conformal map for genus-0 closed surfaces

Spherical Conformal Map

spherical_conformal_map: Conformally map a genus-0 closed triangle mesh to the unit sphere

This code computes spherical conformal (i.e. angle-preserving) maps 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 papers:

[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.

(For mobius_area_correction_spherical) [2] G. P. T. Choi, Y. Leung-Liu, X. Gu, and L. M. Lui, "Parallelizable global conformal parameterization of simply-connected surfaces via partial welding." SIAM Journal on Imaging Sciences, vol.13, no. 3, pp. 1049-1083, 2020.

Copyright (c) 2013-2024, Gary Pui-Tung Choi

https://www.math.cuhk.edu.hk/~ptchoi

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Usage (see demo.m):

• map = spherical_conformal_map(v,f)

Input:

• v: nv x 3 vertex coordinates of a genus-0 triangle mesh
• f: nf x 3 triangulations of a genus-0 triangle mesh

Output:

• map: nv x 3 vertex coordinates of the spherical conformal map

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An extension is also provided (see demo_extension.m):

• mobius_area_correction_spherical: We further reduce the global area distortion of a spherical conformal parameterization while maintaining the conformality, using the Mobius area correction method in [2].

spherical-conformal-map's Issues

How to convert an obj file to .m file the algorithm needed?

Thanks for your sharing ! I have a .nrrd medical file of hippocampus segmentation and I want to use your code to map the hippocampus to sphere, then I convert .nrrd file to obj file using slicer. I want to convert the .obj file to .m file the algorithm needed.The .m file is consisted of three variable: vertex ,face and mean_curv. What is mean_curv ? And could it converted from .obj file?
Or is there any easy way to create a mat for hippocampus surface which is a .nrrd file or .obj file as input ? I really appreciate if you could reply to me