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
[ Download ] [ 2016-12-02 01:19:10 uploaded by jacqueline ] [ 3428 downloads ] [ 1 comments ] [ Cited by 9 ] [ Abstract ] [ Full ]
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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
[ Download ] [ 2017-05-30 16:36:31 uploaded by yauawardadmin ] [ 2125 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[3] 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 ] [ 1704 downloads ] [ 0 comments ] [ Cited by 8 ] [ Abstract ] [ Full ]
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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
[ Download ] [ 2019-05-04 22:18:06 uploaded by ranier ] [ 1575 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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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
[ Download ] [ 2019-11-06 10:03:55 uploaded by will ] [ 1530 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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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] 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
[ Download ] [ 2018-02-28 00:22:40 uploaded by yueh ] [ 1277 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8] 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 ] [ 1238 downloads ] [ 0 comments ] [ Cited by 3 ] [ Abstract ] [ Full ]
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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
[ Download ] [ 2018-04-04 09:51:13 uploaded by liuyongjin ] [ 1204 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[10] 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

[ Download ] [ 2016-05-20 14:21:38 uploaded by yueh ] [ 1145 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[11] 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

[ Download ] [ 2016-08-19 16:43:24 uploaded by dmyan ] [ 1110 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[12] 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 ] [ 1059 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[13] 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 ] [ 1043 downloads ] [ 0 comments ] [ Cited by 5 ] [ Abstract ] [ Full ]
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[14] 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
[ Download ] [ 2016-09-06 12:16:59 uploaded by lmlui ] [ 1021 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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[15] 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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[16] 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
[ Download ] [ 2016-09-05 17:04:38 uploaded by lmlui ] [ 960 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[17] 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 ] [ 903 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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[18] 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
[ Download ] [ 2016-09-05 16:21:51 uploaded by lmlui ] [ 891 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[19] 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
[ Download ] [ 2016-09-06 12:27:40 uploaded by lmlui ] [ 867 downloads ] [ 0 comments ] [ Cited by 4 ] [ Abstract ] [ Full ]
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[20] 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
[ Download ] [ 2016-08-19 15:21:01 uploaded by liuyj ] [ 863 downloads ] [ 0 comments ] [ Cited by 49 ] [ Abstract ] [ Full ]
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[21] 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
[ Download ] [ 2017-03-14 18:35:09 uploaded by wqhuang ] [ 851 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[22] 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
[ Download ] [ 2016-08-23 20:48:32 uploaded by yueh ] [ 851 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[23] 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
[ Download ] [ 2016-09-05 16:54:01 uploaded by lmlui ] [ 850 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[24] 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
[ Download ] [ 2016-09-06 10:47:01 uploaded by lmlui ] [ 833 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[25] 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
[ Download ] [ 2016-09-06 11:44:15 uploaded by lmlui ] [ 829 downloads ] [ 0 comments ] [ Cited by 15 ] [ Abstract ] [ Full ]
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