Selected
Publications:
List of selected Publications:
Submitted/Preprint:
- (with C.Y. Siu, H.L. Chan) Image segmentation with partial convexity
prior using discrete conformality structures, under revision
- (with G.P.T. Choi, Q. Di) Shape analysis via inconsistent surface registration, submitted
- (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
- (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:
- (with Q. Di) Inconsistent Surface Registration via Optimization of
Mapping Distortions, accepted, Journal of Scientific Computing (2020)
- (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)
- (with W.H. Chak, C.P. Lau) Subsampled Turbulence Removal Network,
accepted, Journal on Mathematics, Computation and Geometry of Data
(2020)
- (with H.L. Chan, T.C. Yam) ACC-REG: Automatic Characteristic-Calibrated
Registration using Eigen-Graph applied to disease classciation, accepted,
Pattern Recognition (2020)
- (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)
- (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)
- (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)
- (with D. Syl, K.C. Lam) Computing Quasiconformal Folds, SIAM Journal on
Imaging Sciences, 12(3), 1392–1424 (2019)
- (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)
- (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)
- (with C.P. Lau, C.P. Yung) Image retargeting via Beltrami
representation, IEEE Transaction on Image Processing, 27(12), 5787-5801
(2018)
- (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)
- (with T.W. Meng) PCBC: Quasiconformality of Point Cloud Mappings,
Journal of Scientific Computing, 77(1), 597-633 (2018)
- (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)
- (with K.C. Lam) Optimized Conformal Parameterization with Controllable
Area Distortions, Communications in Mathematical Sciecnes, 15(7), 2027-2054
(2017)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (with K.T. Ho) QCMC: Quasi-conformal Parameterization for
Multiply-connected domains, Advances in Computational Mathematics, 42(2),
279–312 (2016)
- (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)
- (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)
- (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)
- (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)
- (with P.T. Choi) Fast Disk Conformal Parameterization for
Simply-connected Open Surfaces, Journal of Scientific Computing, 65(3),
1065-1090 (2015)
- (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)
- (with T.C. Ng) A Splitting method for diffeomorphism optimization
problem using Beltrami coefficients, Journal of Scientific Computing, 63(2),
573-611 (2015)
- (with H.L Chan, H.Y. Hung) Hooke's Optimization for 3D Triangular Mesh,
Journal of Geometry, Imaging and Computing, 2(2) (2015)
- (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)
- (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)
- (with H.L. Chan) Detection of n-dimensional deformities using
n-dimensional quasi-conformal maps, Journal of Geometry, Imaging and
Computing, 1(4) (2014)
- (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)
- (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)
- (with W. Zeng, X.F. Gu) Surface Registration by Optimization in
Constrained Diffeomorphism Space, Computer Visions and Pattern
Recognition(CVPR), 4169-4176 (2014)
- (with X.F. Gu, W. Zeng, S.T. Yau) Beltrami representation for
diffeomorphisms and its Applications, accepted, AMS/IP Studies in Advanced
Mathematics (2014)
- (with C.F. Wen) Geometric registration of high-genus surfaces, SIAM
Journal on Imaging Sciences, 7(1), 337–365 (2014)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (with C.F. Wen, X.F. Gu) A conformal approach for surface inpainting,
Journal of Inverse Problems and Imaging, 7(3), 863-884 (2013)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)
- (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)