Computational Geometry

[1] A Novel Stretch Energy Minimization Algorithm for Equiareal Parameterizations

Mei-Heng Yueh National Chiao Tung University Wen-Wei Lin National Chiao Tung University Chin-Tien Wu National Chiao Tung University Shing-Tung Yau Harvard University

Computational Geometry mathscidoc:1708.09001

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[2] Quadrilateral and Hexahedral Mesh Generation Based on Surface Foliation Theory II

Na Lei Dalian University of Technology Xiaopeng Zheng Jiliin University Jian Jiang Stony Brook University Yu-Yao Lin Stony Brook University David Xianfeng Gu Stony Brook University

Computational Geometry mathscidoc:1705.09001

Computer Methods in Applied Mechanics and Engineering (CMAME), 2017
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[3] A Novel Symmetric Skew-Hamiltonian Isotropic Lanczos Algorithm for Spectral Conformal Parameterizations

Wei-Qiang Huang National Chiao Tung University Xianfeng David Gu Stony Brook University Wen-Wei Lin National Chiao Tung University Shing-Tung Yau Harvard University

Computational Geometry mathscidoc:1703.09001

Journal of Scientific Computing, 61, (3), 558–583, 2014.12
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[4] The Unified Discrete Surface Ricci flow

Min Zhang Stony Brook University Ren Guo Oregon State Univeristy Wei Zeng School of Computing and Information Sciences, Florida International University Feng Luo Rutgers University Shing Tung Yau Harvard University Xianfeng Gu Stony Brook Univerisity

Computational Geometry Differential Geometry Geometric Modeling and Processing Convex and Discrete Geometry mathscidoc:1612.01001

Graphical Models/Geometric Modeling and Processing 2014, 76, (5), 321-339, 2014.9
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[5] Optimized Conformal Surface Registration with Shape-based Landmark Matching

Ronald Lok Ming Lui University of California, Los Angeles Sheshadri Thiruvenkadam University of California, Los Angeles Yalin Wang University of California, Los Angeles Paul M. Thompson University of California, Los Angeles Tony F. Chan University of California, Los Angeles

Computational Geometry mathscidoc:1609.09038

SIAM Journal of Imaging Sciences, 3, (1), 52-78, 2010
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[6] Detecting Shape Deformations using Yamabe Flow and Beltrami Coefficients

Ronald Lok Ming Lui Harvard University Tsz Wai Wong University of California, Los Angeles Wei Zeng Stony Brook University Xianfeng Gu Stony Brook University Paul M. Thompson University of California, Los Angeles Tony F. Chan The Hong Kong University of Science and Technology Shing-Tung Yau Harvard University

Computational Geometry mathscidoc:1609.09037

Journal of Inverse Problem and Imaging, 4, (2), 311 - 333, 2010.5
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[7] Compression of Surface Registrations using Beltrami Coefficients

Ronald Lok Ming Lui Harvard University Tsz Wai Wong University of California, Los Angeles Paul M. Thompson University of California, Los Angeles Tony F. Chan The Hong Kong University of Science and Technology Xianfeng Gu Stony Brook University Shing-Tung Yau Harvard University

Computational Geometry mathscidoc:1609.09036

IEEE Committee on Computer Vision and Pattern Recognition, 2839-2846, 2010
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[8] Shape Analysis of Vestibular Systems in Adolescent Idiopathic Scoliosis Using Geodesic Spectra

Wei Zeng Wayne State University Ronald Lok Ming Lui Harvard University Lin Shi The Chinese University of Hong Kong Defeng Wang The Chinese University of Hong Kong Winnie C.W. Chu The Chinese University of Hong Kong Jack C.Y. Chu The Chinese University of Hong Kong Jing Hua Wayne State University Shing-Tung Yau Harvard University Xianfeng Gu Stony Brook University

Computational Geometry mathscidoc:1609.09035

Medical Image Computing and Computer Assisted Intervention, 538-546, 2010
[ Download ] [ 2016-09-06 12:06:07 uploaded by lmlui ] [ 88 downloads ] [ 0 comments ] [ Cited by 11 ] [ Abstract ] [ Full ]
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[9] Shape-Based Diffeomorphic Registration on Hippocampal Surfaces Using Beltrami Holomorphic Flow

Ronald Lok Ming Lui Harvard University Tsz Wai Wong University of California, Los Angeles Paul M. Thompson University of California, Los Angeles Tony F. Chan The Hong Kong University of Science and Technology Xianfeng Gu Stony Brook University Shing-Tung Yau Harvard University

Computational Geometry mathscidoc:1609.09034

Medical Image Computing and Computer Assisted Intervention, 323-330, 2010
[ Download ] [ 2016-09-06 11:56:03 uploaded by lmlui ] [ 92 downloads ] [ 0 comments ] [ Cited by 12 ] [ Abstract ] [ Full ]
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[10] Shape Analysis of Planar Objects with Arbitrary Topologies using Conformal Geometry

Ronald Lok Ming Lui Harvard University Wei Zeng Stony Brook University Shing-Tung Yau Harvard University Xianfeng Gu Stony Brook University

Computational Geometry mathscidoc:1609.09033

Proceedings of the 11th European conference on Computer vision, 672-686, 2010
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[11] Independent Component Analysis-Based Classification of Alzheimer's MRI Data

Wenlu Yang Shanghai Maritime University Ronald Lok Ming Lui Harvard University Jia-Hong Gao The University of Chicago Tony F. Chan The Hong Kong University of Science and Technology Shing-Tung Yau Harvard University Reisa A. Sperling Harvard University Xudong Huang Harvard University

Computational Geometry mathscidoc:1609.09032

Journal of Alzheimer's Disease, 24, (4), 775–783, 2011
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[12] Euclidean Geodesic Loops on High-Genus Surfaces Applied to the Morphometry of Vestibular Systems

Shi-Qing Xin Nanyang Technological University Ying He Nanyang Technological University Chi-Wing Fu Nanyang Technological University Defeng Wang The Chinese University of Hong Kong Shi Lin The Chinese University of Hong Kong Winnie C.W. Chu The Chinese University of Hong Kong Jack C.Y. Cheng The Chinese University of Hong Kong Xianfeng Gu Stony Brook University Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09031

Medical Image Computing and Computer-Assisted Intervention, 384-92, 2011
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[13] Parallelizable Inpainting and Refinement of Diffeomorphisms using Beltrami Holomorphic Flow

Tsz Wai Wong University of California, Los Angeles Xianfeng Gu Stony Brook University Tony F. Chan The Hong Kong University of Science and Technology Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09030

Proceedings of the IEEE International Conference on Computer Vision, 2383-2390, 2011
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[14] Optimization of Surface Registrations using Beltrami Holomorphic Flow

Ronald Lok Ming Lui Harvard University Tsz Wai Wong University of California at Irvine Wei Zeng Stony Brook University Xianfeng Gu Stony Brook University Paul M. Thompson University of Southern California Tony F. Chan The Hong Kong University of Science and Technology Shing-Tung Yau Harvard University

Computational Geometry mathscidoc:1609.09029

Journal of Scientific Computing, 50, (3), 557-585, 2012.3
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[15] Computing Quasiconformal Maps Using an Auxiliary Metric and Discrete Curvature Flow

Wei Zeng Stony Brook University Ronald Lok Ming Lui The Chinese University of Hong Kong Feng Luo Rutgers University Tony F. Chan The Hong Kong University of Science and Technology Shing-Tung Yau Harvard University Xianfeng Gu Stony Brook University

Computational Geometry mathscidoc:1609.09028

Numerische Mathematik, 121, (4), 671-703, 2012.8
[ Download ] [ 2016-09-06 10:25:03 uploaded by lmlui ] [ 63 downloads ] [ 0 comments ] [ Cited by 14 ] [ Abstract ] [ Full ]
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[16] Intrinsic Feature Extraction on Hippocampal Surfaces and its Applications

Tsz Wai Wong University of California, Los Angeles Ronald Lok Ming Lui The Chinese University of Hong Kong Paul M. Thompson University of California, Los Angeles Shing-Tung Yau Harvard University Tony F. Chan The Hong Kong University of Science and Technology

Computational Geometry mathscidoc:1609.09027

SIAM Journal on Imaging Sciences, 5, (2), 746–768, 2012.6
[ Download ] [ 2016-09-06 10:18:21 uploaded by lmlui ] [ 77 downloads ] [ 0 comments ] [ Cited by 2 ] [ Abstract ] [ Full ]
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[17] Registration of Brainstem Surfaces in Adolescent Idiopathic Scoliosis Using Discrete Ricci Flow

Minqi Zhang Nanyang Technological University Fang Li Nanyang Technological University Ying He Nanyang Technological University Shi Lin The Chinese University of Hong Kong Defeng Wang The Chinese University of Hong Kong Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09026

Medical Image Computing and Computer-Assisted Intervention, 146-154, 2012
[ Download ] [ 2016-09-06 09:59:16 uploaded by lmlui ] [ 62 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[18] A Conformal Approach for Surface Inpainting

Ronald Lok Ming Lui The Chinese University of Hong Kong Chengfeng Wen The Chinese University of Hong Kong Xianfeng Gu Stony Brook University

Computational Geometry mathscidoc:1609.09025

Journal of Inverse Problems and Imaging, 7, (3), 863 - 884, 2013.8
[ Download ] [ 2016-09-06 09:50:47 uploaded by lmlui ] [ 123 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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[19] Shape Analysis of Planar Multiply-Connected Objects Using Conformal Welding

Ronald Lok Ming Lui The Chinese University of Hong Kong Wei Zeng Florida International University Shing-Tung Yau Harvard University Xianfeng Gu Stony Brook University

Computational Geometry mathscidoc:1609.09024

IEEE Transactions on Pattern Analysis and Machine Intelligence, 36, (7), 1384 - 1401, 2013.11
[ Download ] [ 2016-09-05 22:46:21 uploaded by lmlui ] [ 98 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[20] Folding-Free Global Conformal Mapping for Genus-0 Surfaces by Harmonic Energy Minimization

Rongjie Lai Department of Mathematics, University of California, Irvine Zaiwen Wen Peking University Wotao Yin University of California, Los Angeles Xianfeng Gu Stony Brook University Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09023

Journal of Scientific Computing, 58, (3), 705-725, 2014.3
[ Download ] [ 2016-09-05 21:18:24 uploaded by lmlui ] [ 85 downloads ] [ 0 comments ] [ Cited by 6 ] [ Abstract ] [ Full ]
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[21] Texture Map and Video Compression Using Beltrami Representation

Ronald Lok Ming Lui The Chinese University of Hong Kong Ka Chun Lam The Chinese University of Hong Kong Tsz Wai Wong University of California at Irvine Xianfeng Gu Stony Brook University

Computational Geometry mathscidoc:1609.09022

SIAM Journal on Imaging Sciences, 6, (4), 1880–1902, 2013.10
[ Download ] [ 2016-09-05 20:53:45 uploaded by lmlui ] [ 109 downloads ] [ 0 comments ] [ Cited by 8 ] [ Abstract ] [ Full ]
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[22] Computing Extremal Teichmüller Map of Multiply-Connected Domains Via Beltrami Holomorphic Flow

Tsz Ching Ng The Chinese University of Hong Kong Xianfeng Gu Stony Brook University Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09021

Journal of Scientific Computing, 60, (2), 249–275, 2013.10
[ Download ] [ 2016-09-05 20:47:03 uploaded by lmlui ] [ 232 downloads ] [ 0 comments ] [ Cited by 3 ] [ Abstract ] [ Full ]
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[23] Teichmüller mapping (T-Map) and Its Applications to Landmark Matching Registrations

Ronald Lok Ming Lui The Chinese University of Hong Kong Ka Chun Lam The Chinese University of Hong Kong Shing-Tung Yau Harvard University Xianfeng Gu Stony Brook University

Computational Geometry mathscidoc:1609.09020

SIAM Journal on Imaging Sciences, 7, (1), 391–426, 2014.2
[ Download ] [ 2016-09-05 20:31:17 uploaded by lmlui ] [ 119 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[24] Automatic registration of vestibular systems with exact landmark correspondence

Minqi Zhang Nanyang Technological University Fang Li Nanyang Technological University Xingce Wang Beijing Normal University Zhongke Wu Beijing Normal University Shi-Qing Xin Ningbo University Ronald Lok Ming Lui The Chinese University of Hong Kong Lin Shi The Chinese University of Hong Kong Defeng Wang The Chinese University of Hong Kong Ying He Nanyang Technological University

Computational Geometry mathscidoc:1609.09019

Graphical Models, 76, (5), 532–541, 2014.9
[ Download ] [ 2016-09-05 18:02:17 uploaded by lmlui ] [ 193 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[25] Geometric Registration of High-Genus Surfaces

Ronald Lok Ming Lui The Chinese University of Hong Kong Chengfeng Wen The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09018

SIAM Journal on Imaging Sciences, 7, (1), 337-365, 2014
[ Download ] [ 2016-09-05 17:51:12 uploaded by lmlui ] [ 92 downloads ] [ 0 comments ] [ Cited by 5 ] [ Abstract ] [ Full ]
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