LokMingLui.com

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:

Assistant Professor, Department of Mathematics, The Chinese University of Hong Kong, Aug. 2010-Now

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:

L.M. Lui, K.C. Lam, T.W. Wong, X.F. Gu, Beltrami representation and its applications to texture and video compression, under revision
L.M. Lui, K.C. Lam, S.T. Yau, X.F. Gu, Teichmuller mapping (T-Map) and its applications to landmark matching registrations, submitted
T.C. Ng, X.F. Gu, L.M. Lui, Teichmuller extremal mapping of Multiply-connected domains using Beltrami Holomorphic Flow, submitted
R. Lai, Z. Wen, W. Yin, X.F. Gu, L.M. Lui, Fast and Accurate Algorithms for Harmonic Energy
Minimization on Genus-0 Surfaces, submitted

Published:

L.M. Lui, W. Zeng, S.T. Yau, X.F. Gu, Shape analysis of planar multiply-connected objects using conformal welding, accepted, IEEE Transaction on Pattern Analysis and Machine Intelligence (2013)
L.M. Lui, C.F. Wen, X.F. Gu, A conformal approach for surface inpainting, accepted, Journal of Inverse Problems and Imaging (2013)
M. Zhang, F. Li, Y. He, L. Shi, D. Wang and L.M. Lui, 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)
T.W. Wong, L.M. Lui, P.M. Thompson and 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)
W. Zeng, L.M. Lui, X.F. Gu, T.F. Chan and S.T. Yau, Quasiconformal Maps Using Discrete Curvature Flow,Numerische Mathematik , Volume 121, 671-703 (2012)
L.M. Lui, 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)
X.F. Gu, W. Zeng, L.M. Lui, F. Luo, S.T. Yau, Recent Development of Computational Conformal Geometry, AMS/IP Studies in Advanced Mathematics, Volume 51 , 515-560 (2012)
L.M. Lui, T.W. Wong, W. Zeng, X.F. Gu, P.M. Thompson, T.F. Chan and S.T. Yau, Optimization of Surface Registrations using Beltrami Holomorphic Flow, Journal of Scientific Computing, 50(3), 557-585 (2012)
T.W. Wong, X.F. Gu, T.F. Chan, L.M. Lui, Parallelizable Inpainting and Refinement of Diffeomorphisms using Beltrami Holomorphic Flow, in press, Proceedings of the International Conference of Computer Visions (ICCV) (2011)
S. Xin, Y. He, P. Fu, L. Shi, D. Wang, W.C.W. Chu, J.C.K. Cheng, X.F. Gu, L.M. Lui, Euclidean Geodesic Loops on High-genus Surfaces Applied to the Morphometry of Vestibular Systems, in press, Medical Image Computin and Computer Assisted Intervention (MICCAI) (2011)
W. Yang, L.M. Lui, 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, in press, Journal of Alzheimer's Disease (JAD) (2011)
L.M. Lui, W. Zeng, X.F. Gu, T.F. Chan and 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)
L.M. Lui, T.W. Wong, X.F. Gu, P.M. Thompson, T.F. Chan and 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)
W. Zeng, L.M. Lui, 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)
L.M. Lui, T.W. Wong, X.F. Gu, T.F. Chan and S.T. Yau, Compression of Surface Diffeomorphism using Beltrami coefficient, IEEE Computer Vision and Pattern Recognition(CVPR), 2839-2846 (2010)
L.M. Lui, T.W. Wong, W. Zeng, X.F. Gu, P.M. Thompson, T.F. Chan and 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)
L.M. Lui, S. Thiruvenkadam, Y. Wang, P.M. Thompson and T.F. Chan, Optimized Conformal Surface Registration with Shape-based Landmark Matching , SIAM Journal of Imaging Sciences, Volume 3, Issue 1, 52-78 (2010)
L.M. Lui, X. Gu, T.F. Chan and 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)
W. Zeng, L.M. Lui, X. Gu , S.-T. Yau, Shape Analysis by Conformal Modules, Journal of Methods and Applications of Analysis, Volume 15, Number 4, 539-556 (2008)
L.M. Lui, Y. Wang, J. Kwan, and S. T. Yau, Computation of Curvatures using Conformal Parameterization, Communications in Information and Systems, Volume 8, Number 1, 1-16 (2008)
L.M. Lui, S. Thiruvenkadam, Y. Wang, T.F. Chan, P.M. Thompson, Optimized Conformal Parameterization of Cortical Surfaces Using Shape Based Matching of Landmark Curves, IEEE Medical Image Computing and Computer Assisted Intervention(MICCAI), LNCS 5241, 494-502 (2008)
L.M. Lui, 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)
L.M. Lui, Y. Wang, T.F. Chan and P.M. Thompson, Landmark Constrained Genus Zero Surface Conformal Mapping and Its Application to Brain Mapping Research, Applied Numerical Mathematics 57, 847-858 (2007)
Y. Wang, L. M. Lui, X. Gu, K.M. Hayashi, T.F. Chan, P.M. Thompson and S.-T. Yau, Brain Surface Conformal Parameterization using Riemann Surface Structure, IEEE Transaction of Medical Imaging, 26(6), 853-865 (2007)
B. Gutman, Y. Wang, L.M. Lui, 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)
L. M. Lui, Y. Wang, T.F. Chan and 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)
B. Gutman, Y. Wang, L. M. Lui, T. F. Chan, and 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)
L.M. Lui, 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)
Y. Wang, L.M. Lui, T.F. Chan and P.M. Thompson, Optimization of Brain Conformal Mapping with Landmarks, IEEE 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:

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.