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Ronald Lok Ming Lui

Department of Mathematics, Harvard University                                                     Phone: (857) 654-8744
1 Oxford Street, Cambridge, MA 02138                                                 Email: malmlui@math.harvard.edu
http://www.lokminglui.com/                                                                         Alt: malmlui@math.ucla.edu

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:

  •  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:

  • T.W. Wong, L.M. Lui, P.M. Thompson, T.F. Chan and S.T. Yau, Instrinic feature extraction and Hippocampal Surface Registration using Harmonic eigenmap, submitted
  • W. Zeng, L.M. Lui, X.F. Gu, T.F. Chan and S.T. Yau, Quasiconformal Maps Using Discrete Curvature Flow, submitted
  • L.M. Lui, T.W. Wong, W. Zeng, X.F. Gu, T.F. Chan and S.T. Yau, Optimization of Surface Registrations using Beltrami Holomorphic Flow, to be submitted
  • L.M. Lui, J.S. Liu, X.F. Gu and S.T. Yau, Computation of Teichmuller extremal map using Quadratic differentials, to be submiited

Published:

  • 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, ECCV, in press (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, IEEE Medical Image Computing and Computer Assisted Intervention(MICCAI), in press, (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, IEEE Medical Image Computing and Computer Assisted Intervention(MICCAI), in press, (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), in press, (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:
  • International Congress of Chinese Mathematician 2010, Beijing, December, 45-minute talk.
  • 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, April, 2007
  • Charles E. and Sue K. Young Outstanding Graduate Student Award, UCLA College Award, March 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.