Computational Geometry

[1] 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

Distinguished Paper Award in 2017

Graphical Models/Geometric Modeling and Processing 2014, 76, (5), 321-339, 2014.9
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[2] 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
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[3] 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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[4] A geometric view of optimal transportation and generative model

Na Lei Dalian University of Technology Kehua Su Wuhan University Li Cui Beijing Normal University Shing-Tung Yau Harvard University Xianfeng Gu Stony Brook University

Computational Geometry Convex and Discrete Geometry Machine Learning TBD mathscidoc:1905.09001

Computer Aided Geometric Design, 68, 1-21, 2019.1
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[5] Quadrilateral mesh generation I: Metric based method

Wei Chen Dalian University of Technology Xiaopeng Zheng Dalian University of Technology Jingyao Ke University of Science and Technology of China Na Lei Dalian University of Technology Zhongxuan Luo Dalian University of Technology Xianfeng Gu Stony Brook University

Computational Geometry TBD mathscidoc:1911.43001

Computer Methods in Applied Mechanics and Engineering, 356, 652-668, 2019
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[6] Intrinsic computation of centroidal Voronoi tessellation (CVT) on meshes

Xiaoning Wang Nanyang Technological University Xiang Ying Nanyang Technological University Yong-Jin Liu Tsinghua University Shi-Qing Xin Ningbo University Wenping Wang Hong Kong University Xianfeng Gu Stony Brook University Wolfgang Mueller-Wittig Nanyang Technological University Ying He Nanyang Technological University

Computational Geometry mathscidoc:1608.09005

Computer-Aided Design, 58, 51, 2015
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[7] Numerical computation of surface conformal mappings

Xianfeng David Gu Wei Zeng Feng Luo Shing-Tung Yau

Computational Geometry mathscidoc:1912.43554

Computational Methods and Function Theory, 11, (2), 747-787, 2012.1
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[8] A Novel Algorithm for Volume-Preserving Parameterizations of 3-Manifolds

Mei-Heng Yueh National Taiwan Normal University Tiexiang Li Southeast University Wen-Wei Lin National Chiao Tung University Shing-Tung Yau Harvard University

Computational Geometry Numerical Linear Algebra mathscidoc:1802.09001

SIAM Journal on Imaging Sciences, 12, (2), 1071–1098, 2019.6
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[9] Constructing Intrinsic Delaunay Triangulations from the Dual of Geodesic Voronoi Diagram

Yong-Jin Liu Tsinghua University Dian Fan Tsinghua University Chun-Xu Xu Tsinghua University Ying He Nanyang Technological University

Computational Geometry Geometric Modeling and Processing mathscidoc:1804.09003

ACM Transactions on Graphics, 36, (2), 15, 2018.1
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[10] LATEX Surface Classification Using Conformal Structures

Xianfeng Gu Shing-Tung Yau

Computational Geometry mathscidoc:1912.43732

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[11] 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
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[12] Disk Density Tuning of a Maximal Random Packing

Mohamed S. Ebeida Ahmad A. Rushdi Muhammad A. Awad Ahmed H. Mahmoud Dong-Ming Yan Shawn A. English John D. Owens Chandrajit L. Bajaj Scott A. Mitchell

Computational Geometry mathscidoc:1608.09012

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[13] 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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[14] Conformal Surface Registration with Applications on Face Morphing

Mei-Heng Yueh National Chiao Tung University Xianfeng David Gu Stony Brook University Wen-Wei Lin National Chiao Tung University Chin-Tien Wu National Chiao Tung University Shing-Tung Yau Harvard University

Computational Geometry mathscidoc:1605.09001

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[15] Solving The Cutting Flow Problem for Prismatic Mesh Subdivision

Xiaotian Yin Wei Han Xianfeng Gu Shing-Tung Yau

Computational Geometry mathscidoc:1912.43716

2012.11
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[16] Convergent Conformal Energy Minimization for the Computation of Disk Parameterizations

Yueh-Cheng Kuo National University of Kaohsiung Wen-Wei Lin National Yang Ming Chiao Tung University Mei-Heng Yueh National Taiwan Normal University Shing-Tung Yau Harvard University

Computational Geometry mathscidoc:2104.09001

SIAM Journal on Imaging Sciences, 14, (4), 1790–1815, 2021.12
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[17] 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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[18] 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
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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
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[20] Algebraic and geometric characterizations of a class of planar quartic curves with rational offsets

KaiHormann aUniversità della Svizzera italiana Jianmin Zheng Nanyang Technological University, Singapore

Computational Geometry mathscidoc:2105.09001

Computer Aided Geometric Design, 79, 1-15, 2020.5
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[21] Landmark Constrained Registration of High-genus Surfaces Applied to Vestibular System Morphometry

Chengfeng Wen Stony Brook University Defeng Wang The Chinese University of Hong Kong Lin Shi 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 Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09007

Computerized Medical Imaging and Graphics, 44, 1-12, 2015.9
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[22] 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
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[23] A Novel Stretch Energy Minimization Algorithm for Equiareal Parameterizations

Mei-Heng Yueh National Taiwan Normal 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

Distinguished Paper Award in 2018

Journal of Scientific Computing, 78, (3), 1353–1386, 2019
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[24] 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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[25] Convergence of an Iterative Algorithm for Teichmüller Maps via Harmonic Energy Optimization

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

Computational Geometry mathscidoc:1609.09012

Mathematics of Computation, 84, 2823-2842, 2015.3
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[26] FLASH - Fast Landmark Aligned Spherical Harmonic Parameterization for Genus-0 Closed Brain Surfaces

Pui-Tung Choi The Chinese University of Hong Kong Ka Chun Lam The Chinese University of Hong Kong Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09009

SIAM Journal on Imaging Sciences, 8, (1), 67-94, 2015.1
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[27] Genus-One Surface Registration via Teichmüller Extremal Mapping

Ka Chun Lam The Chinese University of Hong Kong Xianfeng Gu Stony Brook University Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09016

Medical Image Computing and Computer Machine Intelligence, 8675, 25-32, 2014
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[28] Construction of iso-contours, bisectors and Voronoi diagrams on triangulated surfaces

Yong-Jin Liu Tsinghua University Zhan-Qing Chen Hong Kong University Kai Tang Hong Kong University

Computational Geometry mathscidoc:1608.09009

IEEE Transactions on Pattern Analysis and Machine Intelligence, 33, (8), 1502, 2011.8
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[29] 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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[30] 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

Distinguished Paper Award in 2017

SIAM Journal on Imaging Sciences, 7, (1), 391–426, 2014.2
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[31] 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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[32] 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
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[33] Geometric Methods in Engineering Applications

Xianfeng Gu Yalin Wang Hsiao-Bing Cheng Li-Tien Cheng Shing-Tung Yau

Computational Geometry mathscidoc:1912.43720

1-19, 2008
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[34] 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
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[35] Hooke's Optimization for 3D Triangular Mesh

Hei Long Chan The Chinese University of Hong Kong Ho Yeung Hung The Chinese University of Hong Kong Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09011

Journal of Geometry, Imaging and Computing, 2, (2), 109 – 131, 2015
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[36] Quasi-conformal Statistical Shape Analysis of Hippocampal Surfaces for Alzheimer's Disease Analysis

Hei Long Chan The Chinese University of Hong Kong Hangfan Li The Chinese University of Hong Kong Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09002

Journal of Neurocomputing, 175, 177-187, 2016.1
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[37] An Efficient Energy Minimization for Conformal 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:1608.09013

Journal of Scientific Computing, 73, (1), 203--227, 2017
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[38] Surface Registration by Optimization in Constrained Diffeomorphism Space

Wei Zeng Florida International University Ronald Lok Ming Lui The Chinese University of Hong Kong Xianfeng Gu Stony Brook University

Computational Geometry mathscidoc:1609.09017

IEEE Conference on Computer Visions and Pattern Recognition, 4169-4176, 2014.9
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[39] Exact geodesic metric in 2-manifold triangle meshes using edge-based data structures

Yong-Jin Liu Tsinghua University

Computational Geometry mathscidoc:1608.09007

[ Download ] [ 2016-08-19 14:49:51 uploaded by liuyj ] [ 973 downloads ] [ 0 comments ] [ Cited by 18 ] [ Abstract ] [ Full ]
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[40] A New Efficient Algorithm for Volume-Preserving Parameterizations of Genus-One 3-Manifolds

Mei-Heng Yueh National Taiwan Normal University Tiexiang Li Southeast University Wen-Wei Lin National Chiao Tung University Shing-Tung Yau Harvard University

Computational Geometry mathscidoc:1911.09002

SIAM Journal on Imaging Sciences, 13, (3), 1536–1564, 2020.9
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[41] Detection of n-dimensional Shape Deformities using n-dimensional Quasi-conformal Maps

Hei Long Chan The Chinese University of Hong Kong Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09014

Journal of Geometry, Imaging and Computing, 1, (4), 395 – 415, 2014.4
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[42] 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
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[43] 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

Distinguished Paper Award in 2017

Journal of Scientific Computing, 58, (3), 705-725, 2014.3
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[44] Landmark and Intensity Based Registration with Large Deformations via Quasi-Conformal Maps

Ka Chun Lam The Chinese University of Hong Kong Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09013

SIAM Journal on Imaging Sciences, 7, (4), 2364–2392, 2014.11
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[45] A Sweepline Algorithm for Euclidean Voronoi Diagram of Circles

Li Jin Tsinghua University Donguk Kim Hanyang University Lisen Mu Tsinghua University Deok-Soo Kim Hanyang University Shi-Min Hu Tsinghua University

Computational Geometry mathscidoc:1608.09014

Computer-Aided Design, 38, (3), 260-278, 2006
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[46] 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
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[47] Fast wavefront propagation(FWP) for computing exact geodesic distances on meshes

Chunxu Xu Tsinghua University Tuanfeng Y. Wang University of Science and Technology of China Yong-Jin Liu Tsinghua University Ligang Liu University of Science and Technology of China Ying He Nanyang Technological University

Computational Geometry mathscidoc:1608.09004

Distinguished Paper Award in 2017

IEEE Transactions on Visualization and Computer Graphics, 21, (7), 822, 2015.7
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[48] 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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[49] PolyFit: Polygonal Surface Reconstruction from Point Clouds

Liangliang Nan KAUST Peter Wonka KAUST

Computational Geometry Geometric Modeling and Processing mathscidoc:1810.09001

ICCV, 2017.10
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[50] Fast and Memory-Efficient Voronoi Diagram Construction on Triangle Meshes

Yipeng Qin National Centre for Computer Animation, Bournemouth University Hongchuan Yu National Centre for Computer Animation, Bournemouth University Jianjun Zhang National Centre for Computer Animation, Bournemouth University

Computational Geometry mathscidoc:1804.09001

Computer Graphics Forum, 36, (5), 2017.8
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[51] 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
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[52] 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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[53] Polyline-sourced geodesic Voronoi diagrams on triangle meshes

Chun-Xu Xu Tsinghua University Yong-Jin Liu Tsinghua University Qian Sun Nanyang Technological University Jinyan Li University of Technology Sydney Ying He Nanyang Technological University

Computational Geometry mathscidoc:1608.09006

Computer Graphics Forum, 33, (7), 2014.11
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[54] 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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[55] Intrinsic Manifold SLIC: A Simple and Efficient Method for Computing Content-Sensitive Superpixels

Yong-Jin Liu Tsinghua University Minjing Yu Tsinghua University Bing-Jun Li Tsinghua University Ying He Nanyang Technological University

Computational Geometry mathscidoc:1804.09002

Distinguished Paper Award in 2018

IEEE Transactions on Pattern Analysis and Machine Intelligence, 40, (3), 653-666, 2018.1
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[56] Fast and Exact Discrete Geodesic Computation based on Triangle-oriented Wavefront Propagation

Yipeng Qin National Centre for Computer Animation, Bournemouth University Xiaoguang Han The University of Hong Kong Hongchuan Yu National Centre for Computer Animation, Bournemouth University Yizhou Yu The University of Hong Kong Jianjun Zhang National Centre for Computer Animation, Bournemouth University

Computational Geometry mathscidoc:1801.09001

ACM Transactions on Graphics, 35, (4), 2016
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[57] Conformal-Based Surface Morphing and Multi-Scale Representation

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

Computational Geometry mathscidoc:1609.09015

Axioms, 3, (2), 222-243, 2014.5
[ Download ] [ 2016-09-05 17:28:52 uploaded by lmlui ] [ 757 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[58] Spherical Conformal Parameterization of Genus-0 Point Clouds for Meshing

Pui-Tung Choi The Chinese University of Hong Kong Kin Tat Ho The Chinese University of Hong Kong Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09001

SIAM Journal on Imaging Sciences
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[59] Landmark-matching Tranformation with Large Deformation via n-dimensional Quasi-conformal Maps

Yin Tat Lee Massachusetts Institute of Technology Ka Chun Lam The Chinese University of Hong Kong Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09003

Journal of Scientific Computing, 67, (3), 926-954, 2016.6
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[60] Delaunay Mesh Simplification with Differential Evolution

Ran Yi Tsinghua University Yong-Jin Liu Tsinghua University Ying He Nanyang Technological University

Computational Geometry Geometric Modeling and Processing mathscidoc:1903.09002

ACM Transactions on Graphics (SIGGRAPH ASIA 2018), 37, (6), 263, 2018.12
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[61] Uniform texture synthesis and texture mapping using global parameterization

Lujin Wang Xianfeng Gu Klaus Mueller Shing-Tung Yau

Computational Geometry mathscidoc:1912.43560

The Visual Computer, 21, 801-810, 2005.9
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[62] Einstein type metrics and stability on vector bundles

Conan Leung Chinese Univ of HK

Computational Geometry mathscidoc:1608.09015

Journal of Differential Geometry, 45, 514-546, 1997
[ Download ] [ 2016-08-31 17:15:34 uploaded by conan ] [ 717 downloads ] [ 0 comments ] [ Cited by 18 ] [ Abstract ] [ Full ]
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[63] The Complexity of Geodesic Voronoi Diagrams on Triangulated 2-Manifold Surfaces

Yong-Jin Liu Tsinghua University Kai Tang Hong Kong University

Computational Geometry mathscidoc:1608.09008

Information Processing Letters, 113, 132, 2013
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[64] Brain surface parameterization using riemann surface structure

Yalin Wang Xianfeng Gu Kiralee M Hayashi Tony F Chan Paul M Thompson Shing-Tung Yau

Computational Geometry mathscidoc:1912.43567

657-665, 2005.10
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[65] 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
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[66] 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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[67] Manifold Differential Evolution (MDE): A Global Optimization Method for Geodesic Centroidal Voronoi Tessellations on Meshes

Yong-Jin Liu Tsinghua University Chun-Xu Xu Tsinghua University Ran Yi Tsinghua University Dian Fan Tsinghua University Ying He Nanyang Technological University

Computational Geometry Geometric Modeling and Processing mathscidoc:1804.09004

ACM Transactions on Graphics (SIGGRAPH ASIA 2016), 35, (6), 243, 2016.12
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[68] Hyperbolic harmonic mapping for surface registration

Rui Shi Wei Zeng Zhengyu Su Jian Jiang Hanna Damasio Zhonglin Lu Yalin Wang Shing-Tung Yau Xianfeng Gu

Computational Geometry mathscidoc:1912.43612

IEEE transactions on pattern analysis and machine intelligence, 39, (5), 965-980, 2016.5
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[69] Approximating the longest paths in grid graphs

Wen-Qi Zhang Tsinghua University Yong-Jin Liu Tsinghua University

Computational Geometry mathscidoc:1608.09010

Theoretical Computer Science, 412, (39), 5340, 2011.9
[ Download ] [ 2016-08-19 15:25:45 uploaded by liuyj ] [ 645 downloads ] [ 0 comments ] [ Cited by 12 ] [ Abstract ] [ Full ]
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[70] High-speed three-dimensional shape measurement system using a modified two-plus-one phase-shifting algorithm

Song Zhang Shing-Tung Yau

Computational Geometry mathscidoc:1912.43508

Optical Engineering, 46, (11), 113603, 2007.11
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[71] Landmark Constrained Genus-one Surface Teichmüller Map Applied to Surface Registration in Medical Imaging

Ka Chun Lam The Chinese University of Hong Kong Xianfeng Gu Stony Brook University Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09006

Medical Image Analysis, 25, (1), 45-55, 2015.10
[ Download ] [ 2016-09-05 15:39:44 uploaded by lmlui ] [ 630 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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[72] Numerical conformal mapping of multiply connected domains to regions with circular boundaries

Wei Luo Junfei Dai Xianfeng Gu Shing-Tung Yau

Computational Geometry mathscidoc:1912.43646

Journal of computational and applied mathematics, 233, (11), 2940-2947, 2010.4
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[73] Semi-continuity of skeletons in 2-manifold and discrete Voronoi approximation

Yong-Jin Liu Tsinghua University

Computational Geometry Geometric Analysis and Geometric Topology Geometric Modeling and Processing mathscidoc:1608.09003

IEEE Transactions on Pattern Analysis and Machine Intelligence, 37, (9), 1938-1944, 2015.9
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[74] Function fields of algebraic tori revisited

Shizuo Endo Tokyo Metropolitan University Ming-chang Kang National Taiwan University

Computational Geometry mathscidoc:1608.09001

[ Download ] [ 2016-08-18 17:05:42 uploaded by kang ] [ 624 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[75] A geometric method for determining intersection relations between a movable convex object and a set of planar polygons.

Kai Tang Hong Kong University Yong-Jin Liu Tsinghua University

Computational Geometry mathscidoc:1608.09011

IEEE Transactions on Robotics, 20, (4), 636, 2004.8
[ Download ] [ 2016-08-19 15:28:47 uploaded by liuyj ] [ 622 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[76] Generic nonsinusoidal phase error correction for 3D shape measurement using a digital video projector

Song Zhang Shing-Tung Yau

Computational Geometry mathscidoc:1912.43664

6292, 62920R, 2006.8
[ Download ] [ 2019-12-24 20:48:23 uploaded by yaust ] [ 618 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[77] Optimized Surface Parameterizations with Application on Chinese Virtual Broadcasting

Mei-Heng Yueh National Taiwan Normal University Hsiao-Han Huang National Chiao Tung University Tiexiang Li Southeast University Wen-Wei Lin National Chiao Tung University Shing-Tung Yau Harvard University

Computational Geometry mathscidoc:1911.09001

Electronic Transactions on Numerical Analysis, 53, 383-405, 2020.5
[ Download ] [ 2019-11-22 18:12:40 uploaded by yueh ] [ 603 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[78] Quasi-Conformal Hybrid Multi-modality Image Registration and Its Application to Medical Image Fusion

Ka Chun Lam The Chinese University of Hong Kong Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09005

Advances in Visual Computing, 9474, 809-818 , 2015.12
[ Download ] [ 2016-09-05 15:27:02 uploaded by lmlui ] [ 593 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[79] A Robust Divide and Conquer Algorithm for Progressive Medial Axes of Planar Shapes

Yong-Jin Liu Tsinghua University Cheng-Chi Yu Tsinghua University Min-Jing Yu Tsinghua University Kai Tang Hong Kong University Deok-Soo Kim Hanyang University

Computational Geometry Geometric Modeling and Processing mathscidoc:1608.09002

IEEE Transactions on Visualization and Computer Graphics, 22, (12), 2522-2536, 2016.6
[ Download ] [ 2016-08-19 11:56:03 uploaded by liuyj ] [ 585 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[80] Fast Disk Conformal Parameterization for Simply-connected Open Surfaces

Pui-Tung Choi The Chinese University of Hong Kong Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09008

Computer Vision and Pattern Recognition, 65, (3), 1065-1090, 2015.12
[ Download ] [ 2016-09-05 16:11:19 uploaded by lmlui ] [ 575 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[81] GPU-assisted high-resolution, real-time 3-D shape measurement

Song Zhang Dale Royer Shing-Tung Yau

Computational Geometry mathscidoc:1912.43512

Optics Express, 14, (20), 9120-9129, 2006.10
[ Download ] [ 2019-12-24 20:37:26 uploaded by yaust ] [ 570 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[82] QCMC - Quasi-conformal Parameterization for Multiply-connected Domains

Kin Tat Ho The Chinese University of Hong Kong Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09004

Advances in Computational Mathematics, 42, (2), 279–312, 2016.6
[ Download ] [ 2016-09-05 15:23:43 uploaded by lmlui ] [ 553 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[83] A Splitting method for diffeomorphism optimization problem using Beltrami coefficients

Ronald Lok Ming Lui The Chinese University of Hong Kong Tsz Ching Ng The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09010

Distinguished Paper Award in 2017

Journal of Scientific Computing, 63, (2), 573-611, 2015.5
[ Download ] [ 2016-09-05 16:35:45 uploaded by lmlui ] [ 553 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[84] Independent component analysis-based classification of Alzheimer's disease MRI data

Wenlu Yang Ronald LM Lui Jia-Hong Gao Tony F Chan Shing-Tung Yau Reisa A Sperling Xudong Huang

Computational Geometry mathscidoc:1912.43530

Journal of Alzheimer's disease, 24, (4), 775-783, 2011.1
[ Download ] [ 2019-12-24 20:38:37 uploaded by yaust ] [ 533 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[85] LineUp: Computing Chain-based Physical Transformation

Minjing Yu Tsinghua University Zipeng Ye Tsinghua University Yong-Jin Liu Tsinghua University Ying He Nanyang Technological University Charlie C. L. Wang The Chinese University of Hong Kong

Computational Geometry Geometric Modeling and Processing mathscidoc:1903.09001

ACM Transactions on Graphics, 38, (1), 11, 2019.2
[ Download ] [ 2019-03-19 23:02:51 uploaded by liuyongjin ] [ 531 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[86] Teichmller shape space theory and its application to brain morphometry

Yalin Wang Wei Dai Xianfeng Gu Tony F Chan Shing-Tung Yau Arthur W Toga Paul M Thompson

Computational Geometry mathscidoc:1912.43608

133-140, 2009.9
[ Download ] [ 2019-12-24 20:44:10 uploaded by yaust ] [ 531 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[87] Surface classification using conformal structures

Xianfeng Gu Shing-Tung Yau

Computational Geometry mathscidoc:1912.43546

701, 2003.10
[ Download ] [ 2019-12-24 20:39:48 uploaded by yaust ] [ 506 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[88] Teichmller shape descriptor and its application to Alzheimers disease study

Wei Zeng Rui Shi Yalin Wang Shing-Tung Yau Xianfeng Gu Alzheimers Disease Neuroimaging Initiative

Computational Geometry mathscidoc:1912.43587

International journal of computer vision, 105, (2), 155-170, 2013.11
[ Download ] [ 2019-12-24 20:42:51 uploaded by yaust ] [ 501 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[89] Three-dimensional shape measurement using a structured light system with dual cameras

Song Zhang Shing-Tung Yau

Computational Geometry mathscidoc:1912.43543

Optical Engineering, 47, (1), 013604, 2008.1
[ Download ] [ 2019-12-24 20:39:31 uploaded by yaust ] [ 442 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[90] Hyperbolic harmonic brain surface registration with curvature-based landmark matching

Rui Shi Wei Zeng Zhengyu Su Yalin Wang Hanna Damasio Zhonglin Lu Shing-Tung Yau Xianfeng Gu

Computational Geometry mathscidoc:1912.43673

159-170, 2013.6
[ Download ] [ 2019-12-24 20:49:07 uploaded by yaust ] [ 311 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[91] Recent advances in computational conformal geometry

Xianfeng David Gu Feng Luo Shing-Tung Yau

Computational Geometry mathscidoc:1912.43636

189-221, 2009.9
[ Download ] [ 2019-12-24 20:46:18 uploaded by yaust ] [ 310 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[92] Brain surface conformal parameterization with algebraic functions

Yalin Wang Xianfeng Gu Tony F Chan Paul M Thompson Shing-Tung Yau

Computational Geometry mathscidoc:1912.43574

946-954, 2006.10
[ Download ] [ 2019-12-24 20:41:44 uploaded by yaust ] [ 269 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[93] Brain surface conformal parameterization using Riemann surface structure

Yalin Wang Lok Ming Lui Xianfeng Gu Kiralee M Hayashi Tony F Chan Arthur W Toga Paul M Thompson Shing-Tung Yau

Computational Geometry mathscidoc:1912.43515

IEEE transactions on medical imaging, 26, (6), 853-865, 2007.5
[ Download ] [ 2019-12-24 20:37:37 uploaded by yaust ] [ 268 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[94] High-resolution, real-time-geometry video acquisition

Song Zhang Dale Royer Shing-Tung Yau

Computational Geometry mathscidoc:1912.43631

110, 2006.7
[ Download ] [ 2019-12-24 20:45:51 uploaded by yaust ] [ 250 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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