X. Gu

Yalin Wang, Wen Zhang, Ming Ma, 2018, Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference.

Teichmüller Shape Descriptor and Its Application to Alzheimer’s Disease Study

Wei Zeng, Yalin Wang, Shing-Tung Yau, 2013, International Journal of Computer Vision.

Computational Conformal Geometric Methods for Vision

Shing-Tung Yau, Feng Luo, Xianfeng Gu, 2021, Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging.

Computational Conformal Geometry Behind Modern Technologies

Shing-Tung Yau, Feng Luo, Xianfeng Gu, 2020 .

Curvature adaptive surface remeshing by sampling normal cycle

Wei Chen, Li Cui, Xianfeng Gu, 2019, Comput. Aided Des..

A discrete uniformization theorem for polyhedral surfaces

Xianfeng Gu, Feng Luo, Jian Sun, 2013, Journal of Differential Geometry.

Survey on Discrete Surface Ricci Flow

Min Zhang, Xianfeng Gu, Feng Luo, 2015, Journal of Computer Science and Technology.

Discrete Conformal Deformation: Algorithm and Experiments pdf

Jian Sun, Xianfeng Gu, Feng Luo, 2014, SIAM J. Imaging Sci..

The unified discrete surface Ricci flow

Wei Zeng, Shing-Tung Yau, Min Zhang, 2014, Graph. Model..

The Unified Surface Ricci Flow

S. Yau, W. Zeng, X. Gu, 2014, 1401.0401.

Conformal parameterization for multiply connected domains: combining finite elements and complex analysis

Shing-Tung Yau, Xianfeng Gu, Everett Kropf, 2013, Engineering with Computers.

Canonical conformal mapping for high genus surfaces with boundaries

Wei Zeng, Min Zhang, Xianfeng Gu, 2012, Comput. Graph..

Discrete heat kernel determines discrete Riemannian metric

Wei Zeng, Xianfeng Gu, Ren Guo, 2012, Graph. Model..

Fundamentals of Computational Conformal Geometry

Shing-Tung Yau, Xianfeng Gu, Feng Luo, 2010, Math. Comput. Sci..

Recent Advances in Computational Conformal Geometry

Shing-Tung Yau, Xianfeng Gu, Feng Luo, 2009, IMA Conference on the Mathematics of Surfaces.

Computing Teichmuller Shape Space

Wei Zeng, Xianfeng Gu, Miao Jin, 2009, IEEE Transactions on Visualization and Computer Graphics.

Discrete Curvature Flows for Surfaces and 3-Manifolds

Xianfeng Gu, Xiaotian Yin, Miao Jin, 2009, ETVC.

Computing Constant-Curvature Metrics for Hyperbolic 3-Manifolds with Boundaries Using Truncated Tetrahedral Meshes

Xianfeng Gu, Xiaotian Yin, Miao Jin, 2008, Int. J. Shape Model..

Discrete Surface Ricci Flow

Xianfeng Gu, Junho Kim, Miao Jin, 2008, IEEE Transactions on Visualization and Computer Graphics.

Discrete Surface Ricci Flow: Theory and Applications

Xianfeng Gu, Junho Kim, Miao Jin, 2007, IMA Conference on the Mathematics of Surfaces.

Computing surface hyperbolic structure and real projective structure

Xianfeng Gu, Miao Jin, Feng Luo, 2006, SPM '06.

Intrinsic Geometric Scale Space by Shape Diffusion

Jing Hua, Ming Dong, Xianfeng Gu, 2009, IEEE Transactions on Visualization and Computer Graphics.

Optimal global conformal surface parameterization

Yalin Wang, Shing-Tung Yau, Xianfeng Gu, 2004, IEEE Visualization 2004.

Optimal Global Conformal Surface Parameterization for Visualization

Shing-Tung Yau, Yalin Wang, Miao Jin, 2004, Commun. Inf. Syst..

Parametrization for surfaces with arbitrary topologies

Xianfeng Gu, Steven J. Gortler, S. Gortler, 2003 .

Conformal Welding for Brain-Intelligence Analysis

Wei Zeng, Muhammad Razib, Tianren Yang, 2019, ISVC.

A discrete uniformization theorem for polyhedral surfaces II

Xianfeng Gu, Jian Sun, Feng Luo, 2014, Journal of Differential Geometry.

Shape signature based on Ricci flow and optimal mass transportation

Min Zhang, Wei Luo, Wei Zeng, 2014 .

General Framework for Discrete Surface Ricci Flow

S. Yau, W. Zeng, X. Gu, 2014 .

Rigidity of infinite hexagonal triangulation of the plane

X. Gu, Tianqi Wu, Jian Sun, 2013, 1306.3630.

Generalized Discrete Ricci Flow

Shi-Min Hu, Yong-Liang Yang, Xianfeng Gu, 2009, Comput. Graph. Forum.

Optimal Surface Parameterization Using Inverse Curvature Map

Shi-Min Hu, Yong-Liang Yang, Xianfeng Gu, 2008, IEEE Transactions on Visualization and Computer Graphics.

User-controllable polycube map for manifold spline construction

Hong Qin, Ying He, Xianfeng Gu, 2008, SPM '08.

Manifold splines with single extraordinary point

Hong Qin, Ying He, Shing-Tung Yau, 2007, Symposium on Solid and Physical Modeling.

Variational Wasserstein Clustering

Yalin Wang, Liang Mi, Wen Zhang, 2018, ECCV.

An Optimal Transportation Based Univariate Neuroimaging Index

Yalin Wang, Liang Mi, Wen Zhang, 2017, 2017 IEEE International Conference on Computer Vision (ICCV).

Optimal Mass Transport for Shape Matching and Comparison

Wei Zeng, Yalin Wang, Jian Sun, 2015, IEEE Transactions on Pattern Analysis and Machine Intelligence.

Shape Classification Using Wasserstein Distance for Brain Morphometry Analysis

Wei Zeng, Yalin Wang, Xianfeng Gu, 2015, IPMI.

Volumetric harmonic brain mapping

Paul M. Thompson, Yalin Wang, Shing-Tung Yau, 2004, 2004 2nd IEEE International Symposium on Biomedical Imaging: Nano to Macro (IEEE Cat No. 04EX821).

Mesh Parametrization Driven by Unit Normal Flow

Lei Yang, Xianfeng Gu, Na Lei, 2019, Comput. Graph. Forum.

Volume preserving mesh parameterization based on optimal mass transportation

Wei Chen, Xianfeng Gu, Na Lei, 2017, Comput. Aided Des..

Measure controllable volumetric mesh parameterization

Wei Chen, Jian Jiang, Li Cui, 2016, Comput. Aided Des..

An introduction to Ricci flow and volumetric approximation with applications to shape modeling

Xianfeng Gu, Giuseppe Patanè, Xin Li, 2014, SIGGRAPH ASIA Courses.

Optimal mass transport for geometric modeling based on variational principles in convex geometry

Jian Sun, Shing-Tung Yau, Xianfeng Gu, 2014, Engineering with Computers.

Surface- and volume-based techniques for shape modeling and analysis

Xianfeng Gu, Giuseppe Patanè, Xin Li, 2013, SA '13.

Generalized Koebe's method for conformal mapping multiply connected domains

Wei Zeng, Min Zhang, Xianfeng Gu, 2009, Symposium on Solid and Physical Modeling.

Surface Quasi-Conformal Mapping by Solving Beltrami Equations

Wei Zeng, Shing-Tung Yau, Xianfeng Gu, 2009, IMA Conference on the Mathematics of Surfaces.

Surface Mapping Using Consistent Pants Decomposition

Hong Qin, Xianfeng Gu, Xin Li, 2009, IEEE Transactions on Visualization and Computer Graphics.

Meshless Harmonic Volumetric Mapping Using Fundamental Solution Methods

Hong Qin, Ying He, Xianfeng Gu, 2009, IEEE Transactions on Automation Science and Engineering.

Surface matching using consistent pants decomposition

Hong Qin, Xianfeng Gu, Xin Li, 2008, SPM '08.

Slit Map: Conformal Parameterization for Multiply Connected Surfaces

Shing-Tung Yau, Xianfeng Gu, Xiaotian Yin, 2008, GMP.

Harmonic volumetric mapping for solid modeling applications

Hong Qin, Ying He, Xianfeng Gu, 2007, Symposium on Solid and Physical Modeling.

Meshless thin-shell simulation based on global conformal parameterization

Hong Qin, Xianfeng Gu, Xiaohu Guo, 2006, IEEE Transactions on Visualization and Computer Graphics.

Surface parameterization using Riemann surface structure

Paul M. Thompson, Yalin Wang, Shing-Tung Yau, 2005, Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1.

Surface Segmentation Using Global Conformal Structure

Yalin Wang, Shing-Tung Yau, Xianfeng Gu, 2004, Commun. Inf. Syst..

Isogeometric model reconstruction of open shells via Ricci flow and quadrilateral layout-inducing energies

Kendrick M. Shepherd, X. Gu, T. Hughes, 2022, Engineering Structures.

Quadrilateral Mesh Generation III: Optimizing Singularity Configuration Based on Abel-Jacobi Theory pdf

Na Lei, Xiaopeng Zheng, Zhongxuan Luo, 2020, Computer Methods in Applied Mechanics and Engineering.

Quadrilateral Mesh Generation II : Meromorphic Quartic Differentials and Abel-Jacobi Condition pdf

Xianfeng Gu, Na Lei, Xiaopeng Zheng, 2019, Computer Methods in Applied Mechanics and Engineering.

Quadrilateral mesh generation I : Metric based method

Xianfeng Gu, Na Lei, Xiaopeng Zheng, 2019, Computer Methods in Applied Mechanics and Engineering.

Metric Based Quadrilateral Mesh Generation

X. Gu, Na Lei, Zhongxuan Luo, 2018, ArXiv.

Topology optimization of conformal structures on manifolds using extended level set methods (X-LSM) and conformal geometry theory

Na Lei, Yang Guo, Shikui Chen, 2019, Computer Methods in Applied Mechanics and Engineering.

Geodesic Distance-weighted Shape Vector Image Diffusion

Hong Qin, Jing Hua, Ming Dong, 2008, IEEE Transactions on Visualization and Computer Graphics.

Geometric Accuracy Analysis for Discrete Surface Approximation

Shing-Tung Yau, Wei Zeng, Wei Luo, 2006, GMP.

Brain morphometry on congenital hand deformities based on Teichmüller space theory

Xu Wang, Ye Duan, Xianfeng Gu, 2015, Comput. Aided Des..

Image morphing with conformal welding

Xin Fan, Xianfeng Gu, Zhongxuan Luo, 2016, The Visual Computer.

Globally Optimal Surface Mapping for Surfaces with Arbitrary Topology

Hong Qin, Xianfeng Gu, Xiaohu Guo, 2008, IEEE Transactions on Visualization and Computer Graphics.

Rational spherical splines for genus zero shape modeling

Hong Qin, Ying He, Xianfeng Gu, 2005, International Conference on Shape Modeling and Applications 2005 (SMI' 05).

ISOGEOMETRIC ANALYSIS-SUITABLE RECONSTRUCTION OF 1996 DODGE NEON USING RICCI FLOW WITH METRIC OPTIMIZATION

Kendrick M. Shepherd, X. Gu, Thomas J. R. Hughes, 2022 .

Generalized Regular Quadrilateral Mesh Generation based on Surface Foliation

Xianfeng Gu, Na Lei, Xiaopeng Zheng, 2017 .

Geometry-aware domain decomposition for T-spline-based manifold modeling

Hong Qin, Ying He, Xianfeng Gu, 2009, Comput. Graph..

Concurrent optimization of structural topology and infill properties with a CBF-based level set method

Na Lei, Long Jiang, Peng Wei, 2019, Frontiers of Mechanical Engineering.

Conformal topology optimization of multi-material ferromagnetic soft active structures using an extended level set method

X. Gu, Zhong Han, Q. Ge, 2022, Computer Methods in Applied Mechanics and Engineering.

Parallelizable global conformal parameterization of simply-connected surfaces via partial welding

Lok Ming Lui, Xianfeng Gu, Gary P. T. Choi, 2019, SIAM J. Imaging Sci..

Texture Map and Video Compression Using Beltrami Representation

Lok Ming Lui, Xianfeng Gu, Tsz Wai Wong, 2013, SIAM J. Imaging Sci..

Polycube splines

Hong Qin, Ying He, Xianfeng Gu, 2007, Comput. Aided Des..

Manifold T-Spline

Hong Qin, Ying He, Xianfeng Gu, 2006, GMP.

A C1 Globally Interpolatory Spline of Arbitrary Topology

Hong Qin, Ying He, Xianfeng Gu, 2005, VLSM.

Diffeomorphic Registration for Retinotopic Mapping Via Quasiconformal Mapping

Yalin Wang, Yanshuai Tu, Xianfeng Gu, 2020, 2020 IEEE 17th International Symposium on Biomedical Imaging (ISBI).

Kernel estimation from salient structure for robust motion deblurring pdf

Zhixun Su, Xianfeng Gu, Risheng Liu, 2012, Signal Process. Image Commun..

Resilient Routing for Sensor Networks Using Hyperbolic Embedding of Universal Covering Space

Wei Zeng, Jie Gao, Xianfeng Gu, 2010, 2010 Proceedings IEEE INFOCOM.

GPU-Assisted Computation of

Guodong Rong, Xiaotian Yin, Xiaohu Guo, 2011 .

Hyperbolic Harmonic Mapping for Surface Registration

Wei Zeng, Yalin Wang, Shing-Tung Yau, 2017, IEEE Transactions on Pattern Analysis and Machine Intelligence.

Brain Surface Conformal Parameterization With the Ricci Flow

Paul M. Thompson, Yalin Wang, Shing-Tung Yau, 2012, IEEE Transactions on Medical Imaging.

Shape Analysis with Conformal Invariants for Multiply Connected Domains and its Application to Analyzing Brain Morphology

Paul M. Thompson, Yalin Wang, Xianfeng Gu, 2009, NeuroImage.

Conformal Slit Mapping and Its Applications to Brain Surface Parameterization

Paul M. Thompson, Yalin Wang, Shing-Tung Yau, 2008, MICCAI.

Brain Surface Conformal Parameterization Using Riemann Surface Structure

Lok Ming Lui, Paul M. Thompson, Arthur W. Toga, 2007, IEEE Transactions on Medical Imaging.

Brain Surface Conformal Parameterization with Algebraic Functions

Paul M. Thompson, Yalin Wang, Shing-Tung Yau, 2006, MICCAI.

A Novel Symmetric Skew-Hamiltonian Isotropic Lanczos Algorithm for Spectral Conformal Parameterizations

Shing-Tung Yau, Wen-Wei Lin, Xianfeng Gu, 2013, Journal of Scientific Computing.

Cortical Morphometry Analysis based on Worst Transportation Theory

Xiaoyin Xu, Xianfeng Gu, Na Lei, 2021, IPMI.

Consolidation of Low‐quality Point Clouds from Outdoor Scenes

Ligang Liu, Zeyun Yu, Junjie Cao, 2013, SGP '13.

Variational Level Set Method for Topology Optimization of Origami Fold Patterns

X. Gu, Shikui Chen, Qian Ye, 2022, Journal of Mechanical Design.

Generative Design of Bionic Structures Via Concurrent Multiscale Topology Optimization and Conformal Geometry Method

Long Jiang, Shikui Chen, Xianfeng David Gu, 2020 .

A novel GCN-based point cloud classification model robust to pose variances

Wanquan Liu, Zicheng Liu, Huafeng Wang, 2022, Pattern Recognit..

Teichmüller Shape Space Theory and Its Application to Brain Morphometry

Paul M. Thompson, Arthur W. Toga, Yalin Wang, 2009, MICCAI.

Studying brain morphometry using conformal equivalence class

Paul M. Thompson, Arthur W. Toga, Yalin Wang, 2009, 2009 IEEE 12th International Conference on Computer Vision.

Intrinsic computation of centroidal Voronoi tessellation (CVT) on meshes

Shi-Qing Xin, Yong-Jin Liu, Ying He, 2015, Comput. Aided Des..

Euclidean Geodesic Loops on High-Genus Surfaces Applied to the Morphometry of Vestibular Systems

Lok Ming Lui, Chi-Wing Fu, Shi-Qing Xin, 2011, MICCAI.

What's the Situation With Intelligent Mesh Generation: A Survey and Perspectives

X. Gu, Na Lei, Zezeng Li, 2022, IEEE Transactions on Visualization and Computer Graphics.

3D facial landmark localization using texture regression via conformal mapping

Xin Fan, Xianfeng Gu, Zhongxuan Luo, 2016, Pattern Recognit. Lett..

Wasserstein GAN With Quadratic Transport Cost

Dimitris Samaras, Huidong Liu, Xianfeng Gu, 2019, 2019 IEEE/CVF International Conference on Computer Vision (ICCV).

Intrinsic dense 3D surface tracking

Nikos Paragios, Yang Wang, Dimitris Samaras, 2011, CVPR 2011.

Conformal Magnifier: A Focus+Context Technique with Local Shape Preservation

Wei Zeng, Klaus Mueller, Xin Zhao, 2012, IEEE Transactions on Visualization and Computer Graphics.

Conformal Magnifier: A Focus+Context Technique with Minimal Distortion.

Klaus Mueller, Xin Zhao, Wei Xu, 2012, Visualization : proceedings of the ... IEEE Conference on Visualization. IEEE Conference on Visualization.

GPU-Assisted Computation of Centroidal Voronoi Tessellation

Wenping Wang, Xianfeng Gu, Xiaohu Guo, 2011, IEEE Transactions on Visualization and Computer Graphics.

Surface Registration via Foliation

Ming Ma, Xianfeng Gu, Na Lei, 2017, 2017 IEEE International Conference on Computer Vision (ICCV).

Spherical optimal transportation

Min Zhang, Xin Qi, Li Cui, 2019, Comput. Aided Des..

Visualizing the Evolutions of Silhouettes

Xianfeng Gu, Junfei Dai, Junho Kim, 2007 .

A new framework of designing iterative techniques for image deblurring

X. Gu, M. Zhang, Xiaoyin Xu, 2021, Pattern Recognit..

Computing Conformal Structure of Surfaces

Shing-Tung Yau, Xianfeng Gu, S. Yau, 2002, Commun. Inf. Syst..

Folding-Free Global Conformal Mapping for Genus-0 Surfaces by Harmonic Energy Minimization

Lok Ming Lui, Wotao Yin, Xianfeng Gu, 2013, Journal of Scientific Computing.

Network Alignment by Discrete Ollivier-Ricci Flow

Jie Gao, Xianfeng Gu, Chien-Chun Ni, 2018, GD.

Ricci Flow for 3D Shape Analysis

Wei Zeng, Dimitris Samaras, Xianfeng Gu, 2007, 2007 IEEE 11th International Conference on Computer Vision.

Spherical Parameterization Balancing Angle and Area Distortions

Wei Zeng, Arie E. Kaufman, Xianfeng Gu, 2017, IEEE Transactions on Visualization and Computer Graphics.

Authalic Parameterization of General Surfaces Using Lie Advection

Jing Hua, Xianfeng Gu, Guangyu Zou, 2011, IEEE Transactions on Visualization and Computer Graphics.

Beltrami Representation and its applications to texture map and video compression pdf

Lok Ming Lui, Xianfeng Gu, Tsz Wai Wong, 2012, ArXiv.

High Resolution Tracking of Non-Rigid Motion of Densely Sampled 3D Data Using Harmonic Maps

Sen Wang, Yang Wang, Dimitris Samaras, 2008, International Journal of Computer Vision.

Conformal Geometry and Its Applications on 3D Shape Matching, Recognition, and Stitching

Sen Wang, Yang Wang, Dimitris Samaras, 2007, IEEE Transactions on Pattern Analysis and Machine Intelligence.

Silhouette clipping

Pedro V. Sander, Xianfeng Gu, Steven J. Gortler, 2000, SIGGRAPH.

Volumetric Harmonic Map

Yalin Wang, Shing-Tung Yau, Xianfeng Gu, 2003, Commun. Inf. Syst..

Ricci flow-based spherical parameterization and surface registration

X. Zhang, X. Chen, H. He, 2013, Comput. Vis. Image Underst..

Hyperbolic Harmonic Brain Surface Registration with Curvature-Based Landmark Matching

Wei Zeng, Yalin Wang, Shing-Tung Yau, 2013, IPMI.

Hyperbolic Harmonic Mapping for Constrained Brain Surface Registration

Wei Zeng, Yalin Wang, Shing-Tung Yau, 2013, 2013 IEEE Conference on Computer Vision and Pattern Recognition.

Automatic non-rigid registration of 3D dynamic data for facial expression synthesis and transfer

Hong Qin, Sen Wang, Xianfeng Gu, 2008, 2008 IEEE Conference on Computer Vision and Pattern Recognition.

Enclosed Five-Wall Immersive Cabin

Bin Zhang, Klaus Mueller, Feng Qiu, 2008, ISVC.

Optimization of Surface Registrations Using Beltrami Holomorphic Flow

T. W. Wong, S. Yau, W. Zeng, 2011, Journal of Scientific Computing.

Optimization of Surface Registrations Using Beltrami Holomorphic Flow

Lok Ming Lui, Paul M. Thompson, Wei Zeng, 2010, J. Sci. Comput..

Bladder wall thickness mapping for magnetic resonance cystography

Zhengrong Liang, Hongbing Lu, Xianfeng Gu, 2013, Physics in medicine and biology.

Direct-Product Volumetric Parameterization of Handlebodies via Harmonic Fields

Ying He, Xianfeng Gu, Xiaotian Yin, 2010, 2010 Shape Modeling International Conference.

A Conformal Approach for Surface Inpainting pdf

Lok Ming Lui, Xianfeng Gu, Chengfeng Wen, 2012, ArXiv.

Area-Preserving Surface Flattening Using Lie Advection

Jing Hua, Xianfeng Gu, Guangyu Zou, 2011, MICCAI.

3D Non-rigid Surface Matching and Registration Based on Holomorphic Differentials

Wei Zeng, Yang Wang, Dimitris Samaras, 2008, ECCV.

Brain Image Analysis Using Spherical Splines

Hong Qin, Ying He, Xianfeng Gu, 2005, EMMCVPR.

Decentralized Trajectory Tracking Using Homology and Hodge Decomposition in Sensor Networks pdf

Jie Gao, Xianfeng Gu, Chien-Chun Ni, 2017, ArXiv.

Shape and topology optimization of conformal thermal control structures on free-form surfaces: A dimension reduction level set method (DR-LSM)

X. Gu, Shikui Chen, Xiaoqiang Xu, 2022, Computer Methods in Applied Mechanics and Engineering.

AE-OT-GAN: Training GANs from data specific latent distribution pdf

Shing-Tung Yau, Min Zhang, Na Lei, 2020, ECCV.

Constant-time quantum algorithm for homology detection in closed curves

Nhat A. Nghiem, X. Gu, T. Wei, 2022, SciPost Physics.

Computer-aided detection of bladder tumors based on the thickness mapping of bladder wall in MR images

Wei Zeng, Zhengrong Liang, Xiaokang Yu, 2010, Medical Imaging.

Computing geodesic spectra of surfaces

Shing-Tung Yau, Xianfeng Gu, Miao Jin, 2007, Symposium on Solid and Physical Modeling.

Ricci curvature of the Internet topology

Jie Gao, Emil Saucan, Xianfeng Gu, 2015, 2015 IEEE Conference on Computer Communications (INFOCOM).

Ae-OT: a New Generative Model based on Extended Semi-discrete Optimal transport

Shing-Tung Yau, Na Lei, Zhongxuan Luo, 2020, ICLR.

Area Preserving Brain Mapping

Wei Zeng, Yalin Wang, Jian Sun, 2013, 2013 IEEE Conference on Computer Vision and Pattern Recognition.

Image Compression Based on Importance Using Optimal Mass Transportation Map

X. Gu, M. Zhang, Dongsheng An, 2022, 2022 IEEE International Conference on Image Processing (ICIP).

4D facial analysis: A survey of datasets, algorithms and applications

X. Gu, Zhenkuan Pan, Junli Zhao, 2023, Comput. Graph..

Efficient Optimal Transport Algorithm by Accelerated Gradient descent pdf

Xianfeng Gu, Na Lei, Dongsheng An, 2021, AAAI.

A Geometric View of Optimal Transportation and Generative Model pdf

Shing-Tung Yau, Li Cui, Xianfeng Gu, 2017, Comput. Aided Geom. Des..

A Variational Principle for Improving 2D Triangle Meshes based on Hyperbolic Volume pdf

Jie Gao, Wei Chen, Jian Sun, 2013, ArXiv.

Surface Meshing with Curvature Convergence

Wei Zeng, Huibin Li, Jean-Marie Morvan, 2014, IEEE Transactions on Visualization and Computer Graphics.

Colon Flattening Using Heat Diffusion Riemannian Metric

Wei Zeng, Rui Shi, Arie E. Kaufman, 2013, IEEE Transactions on Visualization and Computer Graphics.

Registration for 3D surfaces with large deformations using quasi-conformal curvature flow

Wei Zeng, Xianfeng Gu, W. Zeng, 2011, CVPR 2011.

Discrete Laplace-Beltrami Operator Determines Discrete Riemannian Metric pdf

Wei Zeng, Xianfeng Gu, Ren Guo, 2010, ArXiv.

Shape Analysis of Planar Multiply-Connected Objects Using Conformal Welding

Lok Ming Lui, Wei Zeng, Shing-Tung Yau, 2014, IEEE Transactions on Pattern Analysis and Machine Intelligence.

Shape Analysis of Vestibular Systems in Adolescent Idiopathic Scoliosis Using Geodesic Spectra

Lok Ming Lui, Wei Zeng, Defeng Wang, 2010, MICCAI.

Surface matching and registration using symmetric conformal mapping

Wei Zeng, Xianfeng Gu, W. Zeng, 2009, 2009 11th IEEE International Conference on Computer-Aided Design and Computer Graphics.

3D face matching and registration based on hyperbolic Ricci flow

Wei Zeng, Dimitris Samaras, Yu-Kun Lai, 2008, 2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops.

High resolution tracking of non-rigid 3D motion of densely sampled data using harmonic maps

Sen Wang, Yang Wang, Dimitris Samaras, 2005, Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1.

Matching 3D Shapes Using 2D Conformal Representations

Xianfeng Gu, Baba C. Vemuri, B. Vemuri, 2004, MICCAI.

Conformal virtual colon flattening

Feng Qiu, Wei Hong, Arie E. Kaufman, 2006, SPM '06.

Higher-Order Graph Principles towards Non-Rigid Surface Registration

Nikos Paragios, Dimitris Samaras, Xianfeng Gu, 2016, IEEE Transactions on Pattern Analysis and Machine Intelligence.

Volumetric colon wall unfolding using harmonic differentials

Wei Zeng, Arie E. Kaufman, Xianfeng Gu, 2011, Comput. Graph..

Interior structure transfer via harmonic 1-forms

X. Gu, Ying He, Minghong Liao, 2013, Multimedia tools and applications.

Focal surfaces of discrete geometry

S. Gortler, X. Gu, Jingyi Yu, 2007 .

Focal surfaces of discrete geometry

S. Gortler, X. Gu, Jingyi Yu, 2007, Symposium on Geometry Processing.

Computing general geometric structures on surfaces using Ricci flow

Xianfeng Gu, Miao Jin, Feng Luo, 2007, Comput. Aided Des..

Surface classification using conformal structures

Shing-Tung Yau, Xianfeng Gu, S. Yau, 2003, Proceedings Ninth IEEE International Conference on Computer Vision.

Parameterization of Star-Shaped Volumes Using Green's Functions

Chi-Wing Fu, Ying He, Xianfeng Gu, 2010, GMP.

Metric-Driven RoSy Field Design and Remeshing

Shi-Min Hu, Ying He, Eugene Zhang, 2010, IEEE Transactions on Visualization and Computer Graphics.

Numerical conformal mapping of multiply connected domains to regions with circular boundaries

Wei Luo, Shing-Tung Yau, Xianfeng Gu, 2010, J. Comput. Appl. Math..

Space Filling Curves for 3D Sensor Networks with Complex Topology pdf

Jie Gao, Emil Saucan, Xianfeng Gu, 2015, CCCG.

The Singularity Set of Optimal Transportation Maps

Na Lei, Wei Chen, Yang Guo, 2022, Computational Mathematics and Mathematical Physics.

Secondary Polytope and Secondary Power Diagram

X. Gu, H. Si, Na Lei, 2019, Computational Mathematics and Mathematical Physics.

Consolidation of Low-quality Point Clouds from Outdoor Scenes

X. Gu, Kai Xu, Ligang Liu, 2013, Comput. Graph. Forum.

Scalable and fully distributed localization with mere connectivity

Hongyi Wu, Xianfeng Gu, Miao Jin, 2011, 2011 Proceedings IEEE INFOCOM.

LMap: Shape-Preserving Local Mappings for Biomedical Visualization

Arie E. Kaufman, Xianfeng Gu, Saad Nadeem, 2018, IEEE Transactions on Visualization and Computer Graphics.

Conformal Surface Morphing with Applications on Facial Expressions pdf

Shing-Tung Yau, Mei-Heng Yueh, Wen-Wei Lin, 2015, ArXiv.

Landmark constrained genus-one surface Teichmüller map applied to surface registration in medical imaging

Lok Ming Lui, Xianfeng Gu, Ka Chun Lam, 2015, Medical Image Anal..

Brain Surface Conformal Parameterization With the Ricci Flow

S. Yau, Yalin Wang, X. Gu, 2012 .

Greedy routing with guaranteed delivery using Ricci flows

X. Gu, F. Luo, Jie Gao, 2009, 2009 International Conference on Information Processing in Sensor Networks.

Image morphing with conformal welding

Xin Fan, X. Gu, Zhongxuan Luo, 2016, The Visual Computer.

Robust and accurate optimal transportation map by self-adaptive sampling

Na Lei, Yuxue Ren, Wei Chen, 2021, Frontiers of Information Technology & Electronic Engineering.

Detecting corpus callosum abnormalities in autism subtype using planar conformal mapping

Ye Duan, Xianfeng Gu, Kevin Karsch, 2010 .

Shape analysis of corpus callosum in autism subtype using planar conformal mapping

Ye Duan, Xianfeng Gu, Kevin Karsch, 2009, Medical Imaging.

Scalable and Fully Distributed Localization in Large-Scale Sensor Networks

Hongyi Wu, Xianfeng Gu, Miao Jin, 2017, Axioms.

Robust Edge-Preserved Surface Mesh Polycube Deformation

Hui Zhao, Xuan Li, Peng Zeng, 2018, PG.

Corresponding Supine and Prone Colon Visualization Using Eigenfunction Analysis and Fold Modeling

Arie E. Kaufman, Xianfeng Gu, Joseph Marino, 2018, IEEE Transactions on Visualization and Computer Graphics.

An Effective Illustrative Visualization Framework Based on Photic Extremum Lines (PELs)

Hong Qin, Ying He, Seah Hock Soon, 2007, IEEE Transactions on Visualization and Computer Graphics.

Geometry images

S. Gortler, Hugues Hoppe, X. Gu, 2002, SIGGRAPH.

Deterministic greedy routing with guaranteed delivery in 3D wireless sensor networks

Hongyi Wu, Xianfeng Gu, Xiaotian Yin, 2011, MobiHoc '11.

Teichmuller Mapping (T-Map) and Its Applications to Landmark Matching Registration

Lok Ming Lui, Shing-Tung Yau, Xianfeng Gu, 2014, SIAM J. Imaging Sci..

Conformal parameterization for multiply connected domains: combining finite elements and complex analysis

S. Yau, X. Gu, E. Kropf, 2014, Engineering computations.

Discrete Lie flow: A measure controllable parameterization method

Xianfeng Gu, Na Lei, Kehua Su, 2019, Comput. Aided Geom. Des..

The Normal Map Based on Area-Preserving Parameterization pdf

Hui Zhao, Ming Ma, Li Cui, 2018, ArXiv.

Comparison between variational optimal mass transportation and Lie advection

X. Gu, L. Lui, Shikui Chen, 2021, Mathematics, Computation and Geometry of Data.

Area-preserving mesh parameterization for poly-annulus surfaces based on optimal mass transportation

Min Zhang, Li Cui, Xianfeng Gu, 2016, Comput. Aided Geom. Des..

Topology dependent space filling curves for sensor networks and applications

Wei Zeng, Jie Gao, Xianfeng Gu, 2013, 2013 Proceedings IEEE INFOCOM.

Decentralized human trajectories tracking using hodge decomposition in sensor networks

Jie Gao, Xianfeng Gu, Chien-Chun Ni, 2015, SIGSPATIAL/GIS.

Brain Surface Conformal Parameterization With the Ricci Flow

S. Yau, Yalin Wang, X. Gu, 2012, IEEE Transactions on Medical Imaging.

Computing Teichmüller Maps Between Polygons

Xianfeng Gu, Mayank Goswami, Vamsi Pingali, 2014, Foundations of Computational Mathematics.

Silhouette clipping The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters

S. Gortler, Hugues Hoppe, X. Gu, 2009 .

Intrinsic 3D Dynamic Surface Tracking based on Dynamic Ricci Flow and Teichmüller Map

Yalin Wang, Xiaokang Yu, Xianfeng Gu, 2017, 2017 IEEE International Conference on Computer Vision (ICCV).

Characteristic Class of Isotopy for Surfaces

Yuxue Ren, Feng Luo, Xianfeng Gu, 2020, Journal of Systems Science and Complexity.

Computing Fundamental Group of General 3-Manifold

Xianfeng Gu, Qian-Yi Zhou, Junho Kim, 2008, ISVC.

Optimal mass transport based brain morphometry for patients with congenital hand deformities

Ming Ma, Ye Duan, Xianfeng Gu, 2018, The Visual Computer.

Shape-Based Diffeomorphic Registration on Hippocampal Surfaces Using Beltrami Holomorphic Flow

Lok Ming Lui, Paul M. Thompson, Shing-Tung Yau, 2010, MICCAI.

Computing Conformal Invariants: Period Matrices

Yalin Wang, Shing-Tung Yau, Xianfeng Gu, 2003, Commun. Inf. Syst..

Ieee Transactions on Visualization and Computer Graphics Globally Optimal Surface Mapping for Surfaces with Arbitrary Topology

X. Gu, X. Guo, Xin Li, 2022 .