Personal Site

My research

I have several ongoing research projects.

-  Hippocampal Shape Registration using Beltrami Holomorphic flow
-  Instrinic feature extraction and Hippocampal Surface Registration using Harmonic eigenmap
-  Shape Analysis of Vestibular Systems in Adolescent Idiopathic Scoliosis by Geodesic Spectra
Compression of  Surface Diffeomorphism using Beltrami coefficient
-  Shape Analysis of Planar Objects with Arbitrary Topologies using Conformal Geometry

-  Computation of Quasi-conformal map using discrete Curvature flow
-  Computation of Teichmuller extremal map using Quadratic differentials
-  Representation and Optimization of Surface Diffeomorphisms using Beltrami Coefficients
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Shape Analysis by Conformal Modules
Detecting Abnormal Shape Deformations using Yamabe Flow and Beltrami Coefficents

Accurate estimation of curvatures using the conformal structure
Shape based landmark matching differeomphism between brain cortical surfaces
Automatics sulcal landmark tracking on the brain cortical surface
Variational problem and Image processing on surfaces using conformal parameterization
Optimized brain conformal parameterization using  landmark constrait

(For more detail, please visit our research group Geometry Processor)

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)