Software:

Softwares are freely available only for academic or research purposes. Please cite related references when using the software.

• QCToolbox: Computing QC Map from a prescribed Beltrami representation.

  Please cite:   "L.M. Lui, K.C. Lam, T.W. Wong, X.F. Gu, Texture map and video compression using Beltrami representation, SIAM Journal on Imaging Sciences, 6(4), 1880–1902 (2013)" when using this software tool.]

• Landmark-matching T-Maps (LMT-Map): Compute landmark-matching T-Map between 2D rectangles.

  Please cite: "K.C. Lam, X.F. Gu, S.T. Yau and L.M. Lui, Teichmuller mapping (T-Map) and its applications to landmark matching registrations, accepted, SIAM Journal on Imaging Sciences" when using this software tool.

• Constrained QC Map: Compute a smooth and bijective landmark matching diffeomorphism between 2D rectangles

  Please cite: "K.C. Lam, X.F. Gu, S.T. Yau and L.M. Lui,Teichmuller mapping (T-Map) and its applications to landmark matching registrations, accepted, SIAM Journal on Imaging Sciences" when using this software tool.

• Fast Spherical Conformal Parameterization (sphericalmap): Efficiently compute spherical conformal parameterizations for genus-0 closed surfaces using Linear Beltrami Solver

  Please cite: "K.C. Lam, P.T. Choi and L.M. Lui, FLASH: Fast landmark aligned spherical harmonic parameterization for genus-0 closed brain surfaces, SIAM Journal on Imaging Sciences, 8(1), 67-94 (2015) " when using this software tool.

• Fast landmark aligned spherical harmonic parameterization (FLASH):  Efficiently compute the optimized spherical harmonic parameterizations for genus-0 closed surfaces that matches feature landmarks using Linear Beltrami Solver

  Please cite: "K.C. Lam, P.T. Choi and L.M. Lui, FLASH: Fast landmark aligned spherical harmonic parameterization for genus-0 closed brain surfaces, SIAM Journal on Imaging Sciences, 8(1), 67-94 (2015)" when using this software tool.

• Fast disk conformal parameterization (Caley transform version):  Efficiently compute disk conformal parameterizations for simply-connected open surfaces

  Please cite: "P.T. Choi and L.M. Lui, Fast Disk Conformal Parameterization for Simply-connected Open Surfaces, accepted, Journal of Scientific Computing [Online first: DOI: 10.1007/s10915-015-9998-2] (2015)" when using this software tool.

• Linear disk conformal parameterization (double covering version):  Efficiently compute disk conformal parameterizations for simply-connected open surfaces by solving two linear systems.

  Please cite: "P.T. Choi and L.M. Lui, A Linear Algorithm for Disk Conformal Parameterization of Simply-Connected Open Surfaces, Arxiv:1508.00396v1 (2015) " when using this software tool.

• Lambda-H Surface representation (Lambda-H): Represent a Riemann surface with its conformal factor and mean curvature. Reconstruct a surface from its conformal factor and mean curvature

  Please cite: "L.M. Lui, C.F. Wen, X.F. Gu, A conformal approach for surface inpainting, accepted, Journal of Inverse Problems and Imaging (2013)" when using this software tool.

• Hybrid Registration (Q-Fibra)
• Least square quasi-conformal map for multiply-connected surfaces (LSQMC)
• Beltrami Holomorphic Flow (BHF)
• Optimized conformal brain mapper with landmark matching