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Ronald Lok Ming Lui

Department of Mathematics,                                                               Phone: (852) 2609-7975
Rm 207, Lady Shaw Building,                                                              Email: lmlui@math.cuhk.edu.hk
The Chinese University of Hong Kong,
Shatin, Hong Kong
http://www.math.cuhk.edu.hk/~lmlui/                                                      

EDUCATION:

University of California at Los Angeles                                                                           Los Angeles, CA
Ph. D. in Applied Mathematics                                                                                      2003-2008

University of California at Los Angeles                                                                           Los Angeles, CA
Master of Arts in Mathematics                                                                                      June 2005

Hong Kong University of Science and Technology                                                            Hong Kong, China
B. Sc. in Pure Mathematics                                                                                           June 2003

WORK EXPERIENCE:

  • Associate Professor, Department of Mathematics, The Chinese University of Hong Kong, Aug. 2016-Now 
  • Assistant Professor, Department of Mathematics, The Chinese University of Hong Kong, Aug. 2010-2016 
  • Postdoctoral Scholar in Mathematics Aug. 2008 - Now
    • Jointly appointed by Harvard University and University of California, Los Angeles
    • Hosted by: Prof. Shing-Tung Yau, Harvard and Prof. Tony F. Chan, UCLA

  •  Visting Researcher, Microsoft Research Asia, Beijing June 2007 - Sept. 2007.
    • Research Mentor for the RIPS@Beijing Program. Mentoring two research projects:
      • 1. Hyperbolic Desktop; 2. Link Analysis of Google Page Rank.

  • Research Assistant, UCLA,, Jan. 2005 - June 2008. Jointly working with Prof. Tony Chan, Prof. Paul M. Thomspon on:
    • Brain Conformal Parametrization, Automatics sulcal landmarks tracking, PDEs/Variational Problem solving on Brain surfaces, Shape based Landmark matching differeomorphism, Landmark matching differeomorphism with the algebraic functions, Computational Differential Geometry.
  • Teaching Assistant, UCLA, Sep. 2003 - Dec. 2004. Taught: Multivariable Calculus, Linear Algebra, Complex Analysis and Differential Geometry.

  • President and Cofounder, UCLA Student Chapter of Society of Industrial and Applied Mathematics (SIAM), Sept. 2006 - Sept. 2007.

RESEARCH INTERESTS:

Computational Conformal Geometry, Quasiconformal Geometry, Human Brain Mapping, Variational problems on manifolds and Surface Registration.

Thesis:

  • Title: “Computational Conformal Geometry and its Applications to Human Brain Mapping”
  • Advisor: Prof. Tony F. Chan

My thesis develops mathematical algorithms and models to study human brain diseases, using conformal geometry as a tool. Effective methods have been developed to solve equations and variational problems on general manifolds using their Riemannian structures.


Publications:

List of selected Publications:

Submitted/Preprint:

    1. (with C.Y. Siu, H.L. Chan) Image segmentation with partial convexity prior using discrete conformality structures, under revision
    2. (with G.P.T. Choi, Q. Di) Shape analysis via inconsistent surface registration, submitted       
    3. (with H.L. Chan, Y. Luo, L. Shi) QC-SPHRAM: Quasi-conformal Spherical Harmonics Based Geometric Distortions on Hippocampal Surfaces for Early Detection of the Alzheimer's Disease, submitted
    4. (with H.L. Chan, H.M. Yuen, C.T. Au, C.C. Chan, A.M. Li) Classification of the Obstructive Sleep Apnea based on X-ray images analysis by Quasi-conformal Geometry, submitted

Published:

    1. (with Q. Di) Inconsistent Surface Registration via Optimization of Mapping Distortions, accepted, Journal of Scientific Computing (2020)
    2. (with P.T. Choi, Y.L Liu, X.F. Gu) Parallelizable global conformal parameterization of simply-connected surfaces via partial welding, accepted, SIAM Journal on Imaging Sciences (2020)
    3. (with W.H. Chak, C.P. Lau) Subsampled Turbulence Removal Network, accepted, Journal on Mathematics, Computation and Geometry of Data (2020)
    4. (with H.L. Chan, T.C. Yam) ACC-REG: Automatic Characteristic-Calibrated Registration using Eigen-Graph applied to disease classciation, accepted, Pattern Recognition (2020)
    5. (with P.T. Choi, H.L. Chan, R. Yong, K. Chen, A. Brook, G. Townsend) Tooth morphometry using quasi-conformal theory, accepted, Pattern Recognition (2020)
    6. (with N. Lei, K. Su, C. Li, S. Zhao, S. Chen; X.F. Gu) Comparison Between Variational Optimal Mass Transportation and Lie Advection, accepted,  Journal on Mathematics, Computation, Geometry of Data (2020)
    7. (with K. Chen and J. Modersitzki) Image and Surface Registration, Processing, Analyzing and Learning of Images, Shapes, and Forms, Handbook of Numerical Analysis, 20, 579-611 (2019)
    8. (with D. Syl, K.C. Lam) Computing Quasiconformal Folds, SIAM Journal on Imaging Sciences, 12(3), 1392–1424 (2019)
    9. (with C.P. Lau, Y.H. Lai) Restoration of Atmospheric Turbulence-distorted Images via RPCA and Quasiconformal Maps, Journal of Inverse Problems, 35(7), 1-33 (2019)
    10. (with C.P. Lau, Y.H. Lai) Variational models for joint subsampling and reconstruction of turbulence-degraded images, Journal of Scientific Computing, https://doi.org/10.1007/s10915-018-0833-4 (2018)
    11. (with C.P. Lau, C.P. Yung) Image retargeting via Beltrami representation, IEEE Transaction on Image Processing, 27(12), 5787-5801 (2018)
    12. (with C.P. Yung, P.T. Choi, K. Chen) Efficient Feature-based Image Registration by Mapping Sparsified Surfaces, Journal of Visual Communication and Image Representation, 55, 561-571 (2018)
    13. (with T.W. Meng) PCBC: Quasiconformality of Point Cloud Mappings, Journal of Scientific Computing, 77(1), 597-633 (2018)
    14. (with H.L. Chan, Y. Shi, X.C. Tai) Topology Preserving Image Segmentation by Beltrami Signature of Images, Journal of Mathematical Imaging and Vision, 60(3), 401-421 (2018)
    15. (with K.C. Lam) Optimized Conformal Parameterization with Controllable Area Distortions, Communications in Mathematical Sciecnes, 15(7), 2027-2054 (2017)
    16. (with P.T. Choi, Y. Chen, B. Chiu) Conformal mapping of carotid vessel wall and plaque thickness measured from three-dimensional ultrasound images, Journal of Medical and Biological Engineering and Computing, 55(12), 2183-2195 (2017)
    17. (with C.P. Choi, X.F. Gu) Subdivision Connectivity Remeshing via Teichmuller extremal map, Journal of Inverse Problems and Imaging, 11(5), 825-855 (2017)
    18. (with P.T. Choi) A Linear Algorithm for Disk Conformal Parameterization of Simply-Connected Open Surface, Advances in Computational Mathematics, 44(1), 87–114 (2017)
    19. (with T.C. Ng, K.C. Lam) Multi-scale Representation of Deformations via Wavelet Transform on Beltrami coefficients, SIAM Journal on Multiscale Modeling and Simulation, 15(2), 864–891 (2017)
    20. (with T.W. Meng, P.T. Choi) TEMPO: Feature-Endowed Teichmuller Extremal Mappings of Point Clouds, SIAM Journal on Imaging Sciences, 9(4), 1922–1962 (2016)
    21. (with P.T. Choi, K.T. Ho) Spherical Conformal Parameterization of Genus-0 Point Clouds for Meshing, SIAM Journal on Imaging Sciences, 9(4), 1582–1618 (2016)
    22. (with H.L. Chan, H.F. Li) Quasi-conformal Statistical Shape Analysis of Hippocampal Surfaces for Alzheimer Disease Analysis, Journal of Neurocomputing, 175(A), 177–187 (2016)
    23. (with Y.T. Lee, K.C. Lam) Large deformation registration via n-dimensional quasi-conformal maps, Journal of Scientific Computing, 67(3), 926–954 (2016)
    24. (with K.T. Ho) QCMC: Quasi-conformal Parameterization for Multiply-connected domains, Advances in Computational Mathematics, 42(2), 279–312 (2016)
    25. (with P.T. Choi, H.Y. Man) Fast Spherical Quasiconformal Parameterization of Genus-0 Closed Surfaces with Application to Adaptive Remeshing, accepted, Journal of Geometry, Imaging and Computing (2016)
    26. (with K.C. Lam) Quasi-Conformal Hybrid Multi-modality Image Registration and Its Application to Medical Image Fusion, Advances in Visual Computing, 9474, 809-818 (2015)
    27. (with K.C. Lam, X.F. Gu) Landmark Constrained Genus-one Surface Teichmuller Map Applied to Surface Registration in Medical Imaging, Medical Image Analysis, 25(1), 45-55 (2015)
    28. (with C.F. Wen, D.F. Wang, L. Shi, W.C.W. Chu, J.C.Y. Cheng) Landmark Constrained Registration of High-genus Surfaces Applied to Vestibular System Morphometry, Computerized Medical Imaging and Graphics, Vol. 44, 1-12 (2015)
    29. (with P.T. Choi) Fast Disk Conformal Parameterization for Simply-connected Open Surfaces, Journal of Scientific Computing, 65(3), 1065-1090 (2015)
    30. (with P.T. Choi, K.C. Lam) FLASH: Fast Landmark Aligned Spherical Harmonic Parameterization for Genus-0 Closed Brain Surfaces, SIAM Journal on Imaging Sciences, 8(1), 67-94 (2015)
    31. (with T.C. Ng) A Splitting method for diffeomorphism optimization problem using Beltrami coefficients, Journal of Scientific Computing, 63(2), 573-611 (2015)
    32. (with H.L Chan, H.Y. Hung) Hooke's Optimization for 3D Triangular Mesh, Journal of Geometry, Imaging and Computing, 2(2) (2015)
    33. (with X.F. Gu, S.T. Yau) Convergence analysis of an iterative algorithm for Teichmuller maps via harmonic energy optimization, Mathematics of Computation, 84, 2823-2842  (2015)
    34. (with K.C. Lam) Landmark and intensity based registration with large deformations via quasi-conformal maps, SIAM Journal on Imaging Sciences, 7(4), 2364-2392 (2014)
    35. (with H.L. Chan) Detection of n-dimensional deformities using n-dimensional quasi-conformal maps, Journal of Geometry, Imaging and Computing, 1(4) (2014)
    36. (with K.C. Lam, C.F. Wen) Conformal-based Surface Morphing and Multi-scale representation, Axioms (SI: Discrete Differential Geometry and its Applications to Imaging and Graphics), Vol. 2, 222-243; (2014)
    37. (with K.C. Lam, X.F. Gu) Genus-One Surface Registration via Teichmuller Extremal Mapping, Medical Image Computing and Computer Machine Intelligence(MICCAI), Volume 8675, 25-32  (2014)
    38. (with W. Zeng, X.F. Gu) Surface Registration by Optimization in Constrained Diffeomorphism Space, Computer Visions and Pattern Recognition(CVPR), 4169-4176  (2014)
    39. (with X.F. Gu, W. Zeng, S.T. Yau) Beltrami representation for diffeomorphisms and its Applications, accepted, AMS/IP Studies in Advanced Mathematics (2014)
    40. (with C.F. Wen) Geometric registration of high-genus surfaces, SIAM Journal on Imaging Sciences, 7(1), 337–365 (2014)
    41. (with M. Zhang, F. Li, X. Wang, Z. Wu, S.Q. Xin, L. Shi, D.F. Wang, Y. He) Automatic registration of vestibular systems with exact landmark correspondence, Graphical Models, 76(5), 532–541 (2014)
    42. (with K.C. Lam, S.T. Yau, X.F. Gu) Teichmuller mapping (T-Map) and its applications to landmark matching registrations, SIAM Journal on Imaging Sciences, 7(1), 391–426 (2014)
    43. (with T.C. Ng, X.F. Gu), Teichmuller extremal map of multiply-connected domains using Beltrami holomorphic flow, Journal of Scientific Computing, 60(2), 249-275 (2013)
    44. (with K.C. Lam, T.W. Wong, X.F. Gu) Texture map and video compression using Beltrami representation, SIAM Journal on Imaging Sciences, Vol. 6, No. 4, 1880–1902 (2013)
    45. (with R. Lai,  Z. Wen, W. Yin, X.F. Gu) Folding-Free Global Conformal Mapping for Genus-0 Surfaces by Harmonic Energy Minimization, Journal of Scientific Computing, 58(3), 705-725 (2013)
    46. (with W. Zeng, S.T. Yau, X.F. Gu) Shape analysis of planar multiply-connected objects using conformal welding, IEEE Transaction on Pattern Analysis and Machine Intelligence, 36(7), 1384 - 1401 (2013)
    47. (with C.F. Wen, X.F. Gu) A conformal approach for surface inpainting, Journal of Inverse Problems and Imaging, 7(3), 863-884 (2013)
    48. (with M. Zhang, F. Li, Y. He, L. Shi, D. Wang) Registration of Brainstem Surfaces in Adolescent Idiopathic Scoliosis Using Discrete Ricci Flow, Medical Image Computin and Computer Assisted Intervention (MICCAI), Part II, LNCS 7511, 146-154 (2012)
    49. (with T.W. Wong, P.M. Thompson, T.F. Chan) Instrinic feature extraction and Hippocampal Surface Registration using Harmonic eigenmap,SIAM Journal of Imaging Sciences, Volume 5, Issue 2, 746-768 (2012)
    50. (with W. Zeng, X.F. Gu, T.F. Chan, S.T. Yau) Quasiconformal Maps Using Discrete Curvature Flow,Numerische Mathematik , Volume 121, 671-703 (2012)
    51. (with T.W. Wong, W. Zeng, P.M. Thompson, T.F. Chan, S.T. Yau) A Survey on Recent Development in Computational Quasi-conformal Geometry and its Applications, AMS/IP Studies in Advanced Mathematics, Volume 51 , 697-717 (2012)
    52. (with X.F. Gu, W. Zeng, F. Luo, S.T. Yau) Recent Development of Computational Conformal Geometry, AMS/IP Studies in Advanced Mathematics, Volume 51 , 515-560 (2012)
    53. (with T.W. Wong, W. Zeng, X.F. Gu, P.M. Thompson, T.F. Chan, S.T. Yau) Optimization of Surface Registrations using Beltrami Holomorphic Flow, Journal of Scientific Computing, 50(3), 557-585 (2012)
    54. (with T.W. Wong, X.F. Gu, T.F. Chan) Parallelizable Inpainting and Refinement of Diffeomorphisms using Beltrami Holomorphic Flow, in press, Proceedings of the International Conference of Computer Visions (ICCV) (2011)
    55. (with S. Xin, Y. He, P. Fu, L. Shi, D. Wang, W.C.W. Chu, J.C.K. Cheng, X.F. Gu) Euclidean Geodesic Loops on High-genus Surfaces Applied to the Morphometry of Vestibular Systems, Medical Image Computin and Computer Assisted Intervention (MICCAI), 384-392 (2011)
    56. (with W. Yang, J.H. Gao, T.F. Chan, S.T. Yau) R.A. Sperlinge and X. Huang, Independent component analysis-based classification of Alzheimer’s MRI data, Journal of Alzheimer's Disease (JAD), Volume 24, Number 4, 615-637 (2011)
    57. (with W. Zeng, X.F. Gu, T.F. Chan, S.T. Yau) Shape Analysis of Planar Objects with Arbitrary Topologies using Conformal Geometry, Proceedings of the 11th European conference on Computer vision, 672-686 (2010)
    58. (with T.W. Wong, X.F. Gu, P.M. Thompson, T.F. Chan, S.T. Yau) Hippocampal Shape Registration using Beltrami Holomorphic flow, Medical Image Computing and Computer Assisted Intervention(MICCAI), Part II, LNCS 6362, 323-330 (2010)
    59. (with W. Zeng, L. Shi, D. Wang, W.C.W. Chu, J.C.K. Cheng, X.F. Gu, S.T. Yau) Shape Analysis of Vestibular Systems in Adolescent Idiopathic Scoliosis Using Geodesic Spectra, Medical Image Computing and Computer Assisted Intervention(MICCAI), Part III, LNCS 6363, 538-546 (2010)
    60. (with T.W. Wong, X.F. Gu, T.F. Chan, S.T. Yau) Compression of  Surface Diffeomorphism using Beltrami coefficient, IEEE Computer Vision and Pattern Recognition(CVPR), 2839-2846 (2010)
    61. (with T.W. Wong, W. Zeng, X.F. Gu, P.M. Thompson, T.F. Chan, S.T. Yau) Detecting Shape Deformations using Yamabe Flow and Beltrami Coefficents,  Journal of Inverse Problem and Imaging (IPI), Volume 4, Number 2, 311-333 (2010)
    62. (with S. Thiruvenkadam, Y. Wang, P.M. Thompson, T.F. Chan) Optimized Conformal Surface Registration with Shape-based Landmark Matching , SIAM Journal of Imaging Sciences, Volume 3, Issue 1, 52-78 (2010)
    63. (with L.M. Lui, X. Gu, T.F. Chan, S.-T. Yau) Variational Method on Riemann Surfaces using Conformal Parameterization and its Applications to Image Processing, Journal of Methods and Applications of Analysis, Volume 15, Number 4, 513-538 (2008)
    64. (with W. Zeng, X. Gu , S.-T. Yau) Shape Analysis by Conformal Modules,  Journal of Methods and Applications of Analysis, Volume 15, Number 4, 539-556 (2008)
    65. (with Y. Wang, J. Kwan, S. T. Yau) Computation of Curvatures using Conformal Parameterization, Communications in Information and Systems, Volume 8, Number 1, 1-16 (2008)
    66. (with S. Thiruvenkadam, Y. Wang, T.F. Chan, P.M. Thompson) Optimized Conformal Parameterization of Cortical Surfaces Using Shape Based Matching of Landmark Curves, Medical Image Computing and Computer Assisted Intervention(MICCAI), LNCS 5241, 494-502 (2008)
    67. (with Y. Wang, T.F. Chan, and P.M. Thompson) Brain Anatomical Feature Detection by Solving Partial Differential Equations on General Manifolds, Discrete and Continuous Dynamical Systems B, 7(3), 605-618 (2007)
    68. (with Y. Wang, T.F. Chan, P.M. Thompson) Landmark Constrained Genus Zero Surface Conformal Mapping and Its Application to Brain Mapping Research, Applied Numerical Mathematics 57, 847-858 (2007)
    69. (with Y. Wang, X. Gu, K.M. Hayashi, T.F. Chan, P.M. Thompson, S.-T. Yau) Brain Surface Conformal Parameterization using Riemann Surface Structure, IEEE Transaction of Medical Imaging, 26(6), 853-865 (2007)
    70. (with B. Gutman, Y. Wang, T.F. Chan, P.M. Thompson) Hippocampal Surface Discrimination via Invariant Descriptors of Spherical Conformal Maps, IEEE International Symposium on Biomedical Imaging - From Nano to Macro (ISBI), Washington D.C., USA, 1316-1319 (2007)
    71. (with Y. Wang, T.F. Chan, P.M. Thompson) Automatic Landmark Tracking and Its Application to the Optimization of Brain Conformal Mapping, IEEE Computer Vision and Pattern Recognition(CVPR), Vol. 2, 1784-1792 (2006)
    72. (with B. Gutman, Y. Wang, T. F. Chan, P.M. Thompson) Hippocampal Surface Analysis Using Spherical Harmonic Function Applied to Surface Conformal Mapping, Proceeding of 8th International Conference on Pattern Recognition (ICPR), Hong Kong, China, Vol. 3, 964-967 (2006)
    73. (with Y. Wang, T.F. Chan) PDE on manifold using global conformal parametrization, Variational, Geometric, and Level Set Methods in Computer Vision: Third International Workshop, VLSM 2005, Beijing, China, 307-319 (2005)
    74. (with Y. Wang, T.F. Chan, P.M. Thompson) Optimization of Brain Conformal Mapping with Landmarks, Medical Image Computing and Computer Assisted Intervention(MICCAI), Part II, 675-683 (2005)

    Presentation:
    • Analytic and Geometric Methods in Medical Imaging, Cambridge, UK, August 22-26, 2011
    • 2011 International workshop on Recent Advances in Biomedical Imaging, Shanghai, China, August 15-18. 2011
    • Workshop on Complex Geometry, HKU, Hong Kong, August 2-4, 2011
    • International Congress of Chinese Mathematician 2010, Beijing, December, 45-minute talk 
    • Hong Kong Geometry Colloquium, IMS, CUHK, Hong Kong, October 9, 2010
    • SIAM Conference on Imaging Science 2008 (IS10), Chicago, April 12-14
    • Southwest Conference on Integrated Mathematical Methods in Medical Imaging 2010, Arizona, Feb 6-7
    • SIAM Conference on Imaging Science 2008 (IS08), San Diego, July 7-9
    • International Conference on Medical Image Computing and Computer Assisted Intervention 2006, 9th International Conference, Copenhagen, Denmark, Oct. 1-6
    • IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR), New York, NY, Jun. 2006
    • IEEE International Symposium on Biomedical Imaging: From Nano to Macro (ISBI), Arlington, VA, Apr. 2006
    • International Conference on Medical Image Computing and Computer Assisted Intervention 2006 2005: 8th International Conference, Palm Springs, CA USA, Oct. 26-29, 2005
    • The Eighth IASTED International Conference on Computer Graphics and Imaging (CGIM), Honolulu, HI, USA, Aug. 2005
    • 11th Annual Meeting of the Organization for Human Brain Mapping (OHBM), Toronto, Canada, Jun. 12-16, 2005
    Honors and Awards:
    • HKMS Young Scholars Award, Hong Kong Mathematical Society, 2018
    • Morningside Mathematics (Silver) Medal, International Congress of Chinese Mathematicians, 2016
    • New World  Mathematics Award (Silver award for PhD thesis), 2010
    • Phi Tau Phi Scholarship, 2007
    • Charles E. and Sue K. Young Outstanding Graduate Student Award, UCLA College Award, 2007
    • Outstanding Leadership Award by Society of Industrial and Applied Mathematics 2007
    • Research Assistantship, UCLA, Jan 2005 to Now
    • Teaching Assistantship, UCLA, Sept 2003 to Dec 2004
    • California Non-resident tuition Fellowship, UCLA, Sept 2003 to Now
    • Academic Achievement Medal, Hong Kong University of Science and Technology 2003
    • Deans list Award, Hong Kong University of Science and Technology (all semesters during the 3 years undergraduate study)
    • Sir Edward Youde Scholarship 2002
    • Heng Seng Bank Scholarship 2002
    • Heung Tao Summer Research Scholarship 2002
    • Heung Tao Student Exchange Program Scholarship 2002 (Exchanged to: University of California, Berkeley)

    TEACHING EXPERIENCE:
    • Teaching Assistant. Advanced Calculus, Fall 2003, Winter 2004, Spring 2004, Winter 2008, UCLA.
    • Teaching Assistant. Linear Algebra, Winter 2004, UCLA.
    • Teaching Assistant. Complex Analysis, Spring 2004, UCLA.
    • Teaching Assistant. Differential Geometry, Fall 2007, UCLA.