David Gu's Journal Papers

Books Journals Conferences

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

Na Lei, Xiaopeng Zheng, Zhongxuan Luo, Feng Luo and Xianfeng Gu
Computer Methods in Applied Mechanics and Engineering, 2020
https://doi.org/10.1016/j.cma.2020.112980

Cited by 1 [BibTex]
Computational Generation and Conformal Fabrication of Woven Fabric Structures by Hamonic Foliation

Yang Guo, Qian Ye, Xiaopeng Zheng, Shikui Chen, Na Lei, Yuanqi Zhang and Xianfeng Gu
Computer Methods in Applied Mechanics and Engineering, accepted, 2020
https://doi.org/10.1016/j.cma.2020.112874

Cited by 0 [BibTex]
Convergence of Discrete Conformal Geometry and Computation of Uniformization Maps

Xianfeng Gu, Feng Luo and Tianqi Wu
Asian Journal of Mathematics (AJM), Volume 23, Number 1, Pages 21-34, 2019
https://www.intlpress.com/site/pub/pages/journals/items/ajm/content/vols/0023/0001/a002/

Cited by 1 [BibTex]
A Discrete Uniformization Theorem for Polyhedral Surfaces I

Xianfeng Gu, Feng Luo, Jian Sun and Tianqi Wu
Journal of Differential Geometry (JDG), Volume 109, Number 2, Pages 223-256, 2018
https://projecteuclid.org/euclid.jdg/1527040872

Cited by 31 [BibTex]
A Discrete Uniformization Theorem for Polyhedral Surfaces II

Xianfeng Gu, Ren Guo, Feng Luo, Jian Sun and Tianqi Wu
Journal of Differential Geometry (JDG), Volume 109, Number 3, Pages 431-466, 2018
https://projecteuclid.org/euclid.jdg/1531188190

Cited by 26 [BibTex]
Geometric Understanding of Deep Learning

Na Lei, Dongsheng An, Yang Guo, Kehua Su, Shixia Liu, Zhongxuan Luo, Shing-Tung Yau and Xianfeng Gu
Journal of Engineering, 2020
https://www.sciencedirect.com/science/article/pii/S2095809919302279

Cited by 0 [BibTex]
Quadrilateral Mesh Generation I: Metric Based Method

Wei Chen; Xiaopeng Zheng; Jingyao Ke; Na Lei*, Zhongxuan Luo; Xianfeng Gu
Computer Methods in Applied Mechanics and Engineering, 2019
https://www.sciencedirect.com/science/article/pii/S0045782519304190

Cited by 1 [BibTex]
Mesh Parameterization Driven by Unit Normal Flow

Hui Zhao, Kehua Su, Chenchen Li, Boyu Zhang, Lei Yang, Na Lei, Xiaoling Wang, Steven J. Gortler and Xianfeng Gu
Computer Graphics Forum, Pages:1-16, April 2019.
https://onlinelibrary.wiley.com/doi/full/10.1111/cgf.13660

[BibTex]
Polycube Shape Space

Hui Zhao, Xuan Li, Wencheng Wang, Xiaoling Wang, Shaodong Wang, Na Lei*, Xianfeng Gu
Computer Graphics Forum, Volume 38, Number 7, Pages:311-322, July 2019.
https://doi.org/10.1111/cgf.13839

[BibTex]
Discrete Lie flow: A measure controllable parameterization method

Kehua Su, Chenchen Li, Shifan Zhao, Na Lei*, Xianfeng Gu
Computer Aided Geometric Design (CAD), Volume 72, Pages 49-68, 2019.
https://www.sciencedirect.com/science/article/abs/pii/S0167839619300524

[BibTex]
Spherical Optimal Transportation

Li Cui, Xin Qi, Chengfeng Wen, Na Lei*, Xinyuan Li, Min Zhang, Xianfeng Gu
Computer-Aided Design (CAD), Volume 119, Pages 181-193, October 2019.
https://www.sciencedirect.com/science/article/pii/S0010448519302003

[BibTex]
Curvature Adaptive Surface Remeshing By Sampling Normal Cycle

Kehua Su, Na Lei*, Wei Chen, Li Cui, Hang Si, Shikui Chen, Xianfeng Gu
Computer-Aided Design (CAD), Volume 111, Pages:1-12, June 2019.
https://www.sciencedirect.com/science/article/pii/S0010448518302331

Cited by 1 [BibTex]
Concurrent Optimization of Structural Topology and Infill Properties with a CBF-Based Level Set Method

Long Jiang, Yang Guo, Shikui Chen, Peng Wei, Na Lei, Xianfeng Gu
Frontiers of Mechanical Engineering, Volume 14, Issue 2, Pages:171-189, 2019.
https://link.springer.com/article/10.1007/s11465-019-0530-5

Cited by 2 [BibTex]
A Geometric View of Optimal Transportation and Generative Model

Na Lei, Kehua Su, Li Cui, Shing-Tung Yau, Xianfeng Gu
Computer Aided Geometric Design, 68(2019),1-21.
https://www.sciencedirect.com/science/article/abs/pii/S0167839618301249

Cited by 25 [BibTex]
Topology Optimization of Conformal Structures on Manifolds Using Extended Level Set Methods (XLSM) and Conformal Geometry Theory

Shi-Kui Chen, Qian Ye, Yang Guo, Na Lei and Xianfeng Gu
Computer Methods in Applied Mechanics and Engineering, 344(2019) 164-185.
https://doi.org/10.1016/j.cma.2018.08.045

Cited by 5 [BibTex]
Optimal Mass Transport based Brain Morphometry for Patients with Congenital Hand Deformities

M.Ma,X. Wang, Y. Duan, S. Frey, X. Gu
The Visual Computer 35(9):1311-1325, 2019.
https://link.springer.com/article/10.1007/s00371-018-1543-5

[BibTex]
Robust edge-preserving surface mesh polycube deformation

Hui Zhao, Na Lei*, Xuan Li, Peng Zeng, Ke Xu and Xianfeng Gu
Computational Visual Media 4(1):33-42 (2018).
https://link.springer.com/article/10.1007/s41095-017-0100-x

Cited by 7 [BibTex]
Supine to Prone Colon Registration and Visualization Based on Optimal Mass Transport

Ming Ma, Joseph Marino, Saad Nadeem, Xianfeng Gu
Graphical Models, Volume 104, Article 101031, July 2018.
https://www.sciencedirect.com/science/article/pii/S1524070319300220

[BibTex]
Computational Design and Additive Manufacturing of Periodic Conformal Metasurfaces by Synthesizing Topology Optimization with Conformal Mapping

P.Vogiatzis,M.Ma,S. Chen*, X. Gu*
Computer Methods in Applied Mechanics and Engineering, 328:477-497, 2018.
https://www.sciencedirect.com/science/article/pii/S0045782517306436

Cited by 17 [BibTex]
Conformal Mesh Parameterization Using Discrete Calabi Flow

Hui Zhao, Xuan Li, Huabin Ge, Na Lei*, Min Zhang, Xiaoling Wang and Xianfeng Gu
Computer Aided Geometric Design (CAGD),63(2018), 96-108.
https://www.sciencedirect.com/science/article/abs/pii/S0167839618300153

Cited by 9 [BibTex]
Surface Parameterization Based on Polar Factorization

Xiaokang Yu, Na Lei*, Xiaopeng ZhengXianfeng Gu
J. Comp. Appl. Math.,V329, 24-36, Feb. 2018.
https://www.sciencedirect.com/science/article/abs/pii/S0377042717300079

Cited by 4 [BibTex]
Volume Preserving Mesh Parameterization based on Optimal Mass Transportation

Kehua Su, Wei Chen, Na Lei, Junwei Zhang, Kun Qian and Xianfeng Gu
Journal of Computer-Aided Design (CAD).volume:82,pages:42 - 56 year:2017 [Impact Factor: 2.149]
http://www.sciencedirect.com/science/article/pii/S0010448516300495

Cited by 1 [BibTex]
Corresponding Supine and Prone Colon Visualization Using Eigenfunction Analysis and Fold Modeling

Saad Nadeem, Joseph Marino, Xianfeng Gu, Arie Kaufman
IEEE Transactions on Visualization and Computer Graphics,VOL. 23,NO.1,JANUARY 2017 Pages:751-760, DOI: 10.1109/TVCG.2016.2598791. [Impact Factor: 1.4]
http://ieeexplore.ieee.org/document/7539322/

[BibTex]
Generalized Regular Quadrilateral Mesh Generation based on Surface Foliation

Na Lei, Xiaopeng Zheng*, Hang Si, Zhongxuan Luo, David Gu
Procedia Engineering, volume 203, 2017, page 336-348.
https://www.sciencedirect.com/science/article/pii/S1877705817343813

Cited by 1 [BibTex]
On Tetrahedralisations Containing Knotted and Linked Line Segments.

Hang Si, Yuxue Ren, Na Lei, David Gu
Procedia Engineering, volume 203, 2017, page 323-335.
https://www.sciencedirect.com/science/article/pii/S1877705817343795

Cited by 1 [BibTex]
Robust surface registration using optimal mass transport and Teichmller mapping

Ming Ma, Xiaokang Yu, Na Lei, Hang Si,Xianfeng Gu
Graphical Models 90 March, 2017, 13-23.
https://www.sciencedirect.com/science/article/pii/S1524070317300024

Cited by 2 [BibTex]
Quadrilateral and hexahedral mesh generation based on surface foliation theory II

Na Lei, Xiaopeng Zheng*, Zhongxuan Luo, David Xianfeng Gu
Computer Methods in Applied Mechanics and Engineering. Volume 321, 1 July 2017, Pages 406-426.
https://www.sciencedirect.com/science/article/pii/S0045782517301093

[BibTex]
Quadrilateral and hexahedral mesh generation based on surface foliation theory

Na Lei, Xiaopeng Zheng, Jian Jiang, Yu-Yao Lin, David Xianfeng Gu*
Computer Methods in Applied Mechanics and Engineering. Volume 316, 1 April 2017, Pages 758-781.
https://www.sciencedirect.com/science/article/pii/S0045782516312762

Cited by 14 [BibTex]
Hyperbolic Harmonic Mapping for Surface Registration

Rui Shi, Wei Zeng, Zhengyu Su, Jian Jiang, Hana Damasio, Zhonglin Lu, Yalin Wang, Shing-Tung Yau and Xianfeng Gu
IEEE Transaction on Pattern Analysis and Machine Intelligence (TPAMI), 2016. [Impact Factor: 6.077]
http://ieeexplore.ieee.org/abstract/document/7469384/

Cited by 10 [BibTex]
Spherical Parameterization Balancing Angle and Area Distortions

Saad Nadeem, Zhengyu Su, Wei Zeng, Arie Kaufman and Xianfeng Gu
IEEE Transaction on Visualization and Computer Graphics, Volume 23, Issue 6, Pages:1663-1676, 2016. [Impact Factor: 1.4]
http://ieeexplore.ieee.org/document/7434077/?arnumber=7434077

Cited by 2 [BibTex]
Higher-order Graph Principles towards Non-rigid Surface Registration

Xiang Zeng, Chao-Hui Wang, Xianfeng Gu
IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI),year:2016,volume:36,number:12,pages:2416-2429 [Impact Factor: 6.077]
http://ieeexplore.ieee.org/abstract/document/7404254/

[BibTex]
Area-preserving Mesh Parameterization for Poly-Annulus Surfaces Based on Optimal Mass Transportation

Kehua Su, Cui Li, Kun Qian, Na Lei, Junwei Zhang, Ming Zhang and Xianfeng Gu
Journal of Computer Aided Geometric Design (CAD), 2016，Vol 46, Pages 76-91, [Impact Factor: 2.149]
http://www.sciencedirect.com/science/article/pii/S0167839616300528

[BibTex]
Image Morphing with Conformal Welding

Xin Fan, Yuyao Feng, Zhi Chai, Xianfeng Gu, Zhongxuan Luo
The Visual Computer, Volume 32, Issue 9, Pages 1191-1203, 2016. [Impact Factor: 1.06]
https://link.springer.com/article/10.1007/s00371-015-1188-6

[BibTex]
Measure Controllable Volumetric Mesh Parameterization

Kehua Su, Wei Chen, Na Lei, Li Cui, Jian Jiang and Xianfeng Gu
Computer-Aided Design (CAD), Volume 78, Pages 188-198, 2016. [Impact Factor: 1.092]
http://www.sciencedirect.com/science/article/pii/S0010448516300197

Cited by 1 [BibTex]
Variational Principles for Minkowski Type Problems, Discrete Optimal Transport, and Discrete Monge-Ampere Equations

Xianfeng Gu, Feng Luo, Jian Sun and Shing-Tung Yau
Asian Journal of Mathematics (AJM), Volume 20, Number 2, Pages 383-398, April 2016. [Impact Factor: 0.28]
https://arxiv.org/abs/1302.5472

Cited by 21 [BibTex]
Compact Conformal Map for Greedy Routing in Wireless Mobile Sensor Networks

Siming Li, Dengpan Zhou, Wei Zeng, Jie Gao, Xianfeng Gu
IEEE Transactions on Mobile Computing, 15(7): 1632-1646 (2016). [Impact Factor: 2.456]
http://ieeexplore.ieee.org/document/7236907/

Cited by 4 [BibTex]
Dynamic Unified Surface Ricci Flow

Wei Chen, Min Zhang, Na Lei*, Xianfeng Gu
Journal of Geometry, Imaging and Computing, 3(1-2), 2016, 31-56.
https://www.intlpress.com/site/pub/pages/journals/items/gic/content/vols/0003/0001/a002/

[BibTex]
Computing Teichmuller maps between polygons

Mayank Goswami, Xianfeng Gu, Vamsi Pritham Pingali and Gaurish Telang
Foundations of Computational Mathematics,2015. [Impact Factor: 1.986]
http://link.springer.com/article/10.1007/s10208-015-9294-4?email.event.1.SEM.ArticleAuthorContributingOnlineFirst

Cited by 1 [BibTex]
Intrinsic computation of centroidal Voronoi tessellation(CVT) on meshes

XiaoningWang, Xiang Ying, Yong-Jin Liu, Shi-Qing Xin,WenpingWang, Xianfeng Gu, Wolfgang Mueller-Wittig and Ying He
Computer-Aided Design (CAD), 2015,Vol.58, Pages.51-61. [Impact Factor: 2.149]
http://www.sciencedirect.com/science/article/pii/S0010448514001924

Cited by 12 [BibTex]
Brain morphometry on congenital hand deformities based on Teichmuller space theory

Hao Peng, Xu Wang, Ye Duan, Scott H. Frey, Xianfeng Gu
Computer-Aided Design 58: 84-91 (2015). [Impact Factor: 2.149]
http://www.sciencedirect.com/science/article/pii/S0010448514001936

Cited by 1 [BibTex]
A Novel ColonWall Flattening Model for Computed Tomographic Colonography Method and Validation

HuafengWang, Yuexi Chen, Lihong Li, Haixia Pan, Xianfeng Gu, Zhengrong Liang
CMBBE:Imaging & Visualization, 3(4):213-221 (2015). [Impact Factor: 0.57]
https://www.ncbi.nlm.nih.gov/pubmed/25642397

[BibTex]
Survey on Discrete Surface Ricci Flow

Min Zhang, Wei Zeng, Ren Guo, Feng Luo, Xianfeng David Gu
J. Comput. Sci. Technol. 30(3): 598-613 (2015) [Impact Factor: 0.475]
http://link.springer.com/article/10.1007/s11390-015-1548-8

[BibTex]
Landmark constrained genus-one surface Teichmuller map applied to surface registration in medical imaging

Ka Chun Lam, Xianfeng Gu, Lok Ming Lui
Medical Image Analysis 25(1): 45-55 (2015) [Impact Factor: 4.565]
http://www.sciencedirect.com/science/article/pii/S1361841515000560

[BibTex]
Convergence of an iterative algorithm for Teichmuler maps via harmonic energy optimization

Lok Ming Lui, Xianfeng Gu, Shing-Tung Yau
AMS Math. Comput. 84(296),2823-2842, (2015) [Impact Factor: 1.58]
http://www.ams.org/journals/mcom/2015-84-296/S0025-5718-2015-02962-7/

Cited by 6 [BibTex]
Interior structure transfer via harmonic 1-forms

Juncong Lin, Jiazhi Xia, Xing Gao, Minghong Liao, Ying He, Xianfeng Gu
Multimedia Tools Appl. 74(1): 139-158 (2015) [Impact Factor: 1.331]
http://link.springer.com/article/10.1007/s11042-013-1508-7

Cited by 1 [BibTex]
Discrete Conformal Deformation: Algorithmand Experiments

Jian Sun, Tianqi Wu, Xianfeng Gu, Feng Luo
SIAM J. Imaging Sciences 8(3): 1421-1456 (2015) [Impact Factor: 3.92]
http://epubs.siam.org/doi/abs/10.1137/141001986

Cited by 2 [BibTex]
GRIP: Greedy Routing through dIstributed Parametrization for guaranteed delivery in WSNs.

Minqi Zhang, Feng Li, Ying He, Juncong Lin, Xianfeng Gu, Jun Luo
Wireless Networks 21(1): 67-80 (2015) [Impact Factor: 1.006]
http://link.springer.com/article/10.1007/s11276-014-0770-6

Cited by 1 [BibTex]
Landmark Constrained Genus-one Surface Teichmuller Map Applied to Surface Registration in Medical Imaging

Ka Chun Lam, Xianfeng Gu and Lok Ming Lui
Medical Image Analysis 25(1):45-55, (2015) [Impact Factor: 3.92]
https://www.sciencedirect.com/science/article/abs/pii/S1361841515000560

Cited by 6 [BibTex]
Optimal Mass Transport for Shape Matching and Comparison

Zhengyu Su, Yalin Wang, Rui Shi, Wei Zeng, Jian Sun, Feng Luo and Xianfeng Gu
IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 37(11), 2246-2259, 2015. [Impact Factor: 7.34]
https://ieeexplore.ieee.org/document/7053911

Cited by 22 [BibTex]
Deterministic Greedy Routing with Guaranteed Delivery in 3D Wireless Sensor Networks

Su Xia, Xiaotian Yin, Hongyi Wu, Miao Jin, Xianfeng David Gu
Axioms 3(2):177-201 (2014) [Impact Factor: 1]
http://dl.acm.org/citation.cfm?doid=2107502.2107504

Cited by 27 [BibTex]
Optimal mass transport for geometric modeling based on variational principles in convex geometry

Zhengyu Su, Jian Sun, Xianfeng Gu, Feng Luo, Shing-Tung Yau
Eng.Comput. (Lond.) 30(4): 475-486 (2014) [Impact Factor: 2.53]
http://link.springer.com/article/10.1007/s00366-014-0354-1

Cited by 1 [BibTex]
Surface Meshing with Curvature Convergence

Huibin Li, Wei Zeng, Jean-marie Morvan, Limin Chen
IEEE Transaction on Visualization and Computer Graphics (TVCG),20(6):919-934, 2014. [Impact Factor: 3.51]
http://ieeexplore.ieee.org/abstract/document/6658744/

Cited by 3 [BibTex]
From a projective invariant to some new properties of algebraic hypersurfaces

Zhong-Xuan Luo, Xinchen Zhou, Xianfeng Gu
Sci China Math, 2014, Volume 57, Pages 2273-2284, doi:10.1007/s11425-014-4877-0. [Impact Factor: 0.93]
http://link.springer.com/article/10.1007/s11425-014-4877-0

Cited by 8 [BibTex]
The Unified Discrete Surface Ricci Flow

Min Zhang, Ren Guo, Wei Zeng, Feng Luo, Shing-Tung Yau and Xianfeng Gu
Graphical Models, Volume 76, Issue 5, Pages 321-339, (2014). [Impact Factor: 1.36]
http://www.sciencedirect.com/science/article/pii/S1524070314000344

Cited by 11 [BibTex]
Shape Signature based on Ricci Flow and Optimal Mass Transportation

Wei Luo, Zengyu Su, Min Zhang, Wei Zeng, Junfei Dai and Xianfeng Gu
SPIE Journal of Optical Engineering, 53(11), 112209, Special issue on High-Speed 3-D Optical Metrology and Applications (2014) [Impact Factor: 1.11]
http://opticalengineering.spiedigitallibrary.org/article.aspx?articleid=1865982

[BibTex]
Computing Extremal Teichmuler Map of Multiply-Connected Domains Via Beltrami Holomorphic Flow

Tsz-Ching Ng, Xianfeng Gu, Lok Ming Lui
J. Sci. Comput.60(2): 249-275 (2014) [Impact Factor: 2.29]
http://link.springer.com/article/10.1007/s10915-013-9791-z

Cited by 3 [BibTex]
A Novel Symmetric Skew-Hamiltonian Isotropic Lanczos Algorithm for Spectral Conformal Parameterizations

Wei-Qiang Huang, Xianfeng David Gu, Wen-Wei Lin, Shing-Tung Yau
J. Sci. Comput. 61(3): 558-583 (2014) [Impact Factor: 2.29]
http://link.springer.com/article/10.1007/s10915-014-9840-2

[BibTex]
Conformal Parameterization for Multiply-Connected Domains: Combining Finite Elements and Complex Analysis

Everett Kropf, Xiaotian Yin, Shing-Tung Yau and Xianfeng Gu
ACM Journal of Engineering with Computers Volume 30, issue 4, pages 441-455, (2014). [Impact Factor: 1]
http://link.springer.com/article/10.1007/s00366-013-0348-4

Cited by 14 [BibTex]
Teichmuller Mapping (T-Map) and Its Applications to Landmark Matching Registration

Lok Ming Lui, Ka Chun Lam, Shing-Tung Yau and Xianfeng Gu
SIAM Journal of Imaging Sciences, Volume 7, issue 1, pages 391-426, (2014). [Impact Factor: 3.92]
https://epubs.siam.org/doi/10.1137/120900186

Cited by 44 [BibTex]
Folding-Free Global Conformal Mapping for Genus-0 Surfaces by Harmonic Energy Minimization

Rongjie Lai, Zaiwen Wen, Wotao Yin, Xianfeng Gu, Lok Ming Lui
Journal of Scientific Computing, 58:705-725, (2014) [Impact Factor: 2.29]
http://link.springer.com/article/10.1007/s10915-013-9752-6

Cited by 12 [BibTex]
Teichmuller Shape Descriptor and Its Application to Alzheimer's Disease Study

Wei Zeng, Rui Shi, Yalin Wang, Shing-Tung Yau, Xianfeng Gu
International Journal of Computer Vision, Vol 105 Issue , Pages 155-170 (2013). [Impact Factor: 6.37]
http://link.springer.com/article/10.1007/s11263-012-0586-8

Cited by 9 [BibTex]
Texture map and video compression using Beltrami representation

L.M. Lui, K.C. Lam, T.W. Wong, X.F. Gu
SIAM Journal on Imaging Sciences, Vol. 6, Issue 4, Pages 1880-1902, (2013) [Impact Factor: 5.09]
http://epubs.siam.org/doi/abs/10.1137/120866129

Cited by 28 [BibTex]
Kernel estimation from salient structure for robust motion deblurring

Jin-shan Pan, Risheng Liu, Zhixun Su, Xianfeng Gu
Sig. Proc.: Image Comm. Vol. 28, Issue 9,Pages 1156-1170, (2013) [Impact Factor: 2.42]
http://www.sciencedirect.com/science/article/pii/S0923596513000623

Cited by 17 [BibTex]
Consolidation of Low-Quality Point Clouds from Outdoor Scenes

Jun Wang, Kai Xu, Ligang Liu, Junjie Cao, Shengjun Liu, Zeyun Yu and Xianfeng Gu
Computer Graphics Forum, Vol. 32, Issue 5, pages 207-216, 2013. [Impact Factor: 2.68]
http://onlinelibrary.wiley.com/doi/10.1111/cgf.12187/abstract

Cited by 17 [BibTex]
A conformal Approach for Surface Inpainting

Lok Ming Lui, Chengfeng Wen, Xianfeng Gu
Journal of Inverse Problems and Imaging, Volume 7, Issue 3, Pages 863-884, (August2013) [Impact Factor: 2.28]
https://www.aimsciences.org/article/doi/10.3934/ipi.2013.7.863

Cited by 4 [BibTex]
Colon Flattening using Heat Diffusion Riemannian Metric

Krishna Chaitanya Gurijala, Rui Shi, Wei Zeng, Xianfeng Gu and Arie Kaufman
IEEE Transaction on Visualization and Computer Graphics, IEEE TVCG, Volume 19, Issue 12, Pages 2848-2857, December 2013. [Impact Factor: 3.52]
http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6634145

Cited by 5 [BibTex]
Area-preservation Mapping using Optimal Mass Transport

Xin Zhao, Zhengyu Su, Xianfeng David Gu, Arie Kaufman, Jian Sun, Jie Gao, Feng Luo
IEEE Transaction on Visualization and Computer Graphics, IEEE TVCG, Volume 19, Issue 12, Pages 2838-2847,December 2013. [Impact Factor: 3.52]
http://ieeexplore.ieee.org/abstract/document/6634117/

Cited by 20 [BibTex]
Ricci flow-based spherical parameterization and surface registration

Xuejiao Chen, Huiguang He, Guangyu Zou, Xiaopeng Zhang, Xianfeng Gu and Jing Hua
Computer Vision and Image Understanding, September2013,Vol.117, Issue.9, Pages.1107-1118. [Impact Factor: 3.33]
http://www.sciencedirect.com/science/article/pii/S1077314213000659

Cited by 2 [BibTex]
Shape Analysis of Planar Multiply-connected Objects using Conformal Welding

Lok Ming Lui, Wei Zeng, Shing-Tung Yau and Xianfeng Gu
IEEE Transactions on Pattern Analysis and Machine Intelligence (IEEE TPAMI),2013Vol.36, Issue.7, Pages.13841401. [Impact Factor: 9.12]
http://ieeexplore.ieee.org/abstract/document/6654158/

Cited by 9 [BibTex]
Discrete Heat Kernel Determines Discrete Reimannian Metric

Wei Zeng, Ren Guo, Feng Luo and Xianfeng Gu
Graphical Models, 2012,Vol.74, Issue.4, Pages.121-129. [Impact Factor: 1.33]
http://www.sciencedirect.com/science/article/pii/S1524070312000161

Cited by 17 [BibTex]
Canonical conformal mapping for high genus surfaces with boundaries

Min Zhang, Yinghua Li, Wei Zeng and Xianfeng Gu
Computer and Graphics, 2012,Vo.36, Issue.5, Pages.417-426. [Impact Factor: 1.75]
http://www.sciencedirect.com/science/article/pii/S0097849312000453

Cited by 9 [BibTex]
Computing Quasiconformal Mappings on Riemann Surfaces Using Auxiliary Metric Based on Discrete Curvature Flow

Wei Zeng, Lok Ming Lui, Feng Luo, Tony Chan, Shing-Tung Yau and Xianfeng Gu
Numerische Mathematik, 2012,Vol.121, Issue.4, pages.671-703. [Impact Factor: 0.87]
http://link.springer.com/article/10.1007/s00211-012-0446-z

Cited by 8 [BibTex]
Conformal Magnifier: A Fcous + Context Technique with Minimal Distortion

Xin Zhao, Klaus Mueller, Wei Zeng, Arie Kaufman, Wei Xu and Xianfeng Gu
IEEE Transaction on Visualization and Computer Graphics (TVCG), Vol.18, Issue.11, Pages.1928 - 1941, 2012. [Impact Factor: 3.59]
https://www.ncbi.nlm.nih.gov/pubmed/22392714

Cited by 18 [BibTex]
Brain Surface Conformal Parameterization with the Ricci Flow.

Yanglin Wang, Jie Shi, Xiaotian Yin, Tony F. Chan, Arthur W. Toga, Shing-Tung Yau and Paul M. Thompson
IEEE Transaction on Medical Imaging, 2012,Vol.31, Issue.2 Pages.251 - 264. [Impact Factor: 5.65]
https://www.ncbi.nlm.nih.gov/pubmed/21926017

Cited by 1 [BibTex]
Numerical Computation of Surface Conformal Mappings

Xianfeng Gu, Wei Zeng, Feng Luo and Shing-Tung Yau
Computational Methods and Function Theory, January, 2012,Volume 11, Issue 2, pp 747-787. [Impact Factor: 0.55]
https://link.springer.com/article/10.1007/BF03321885

Cited by 19 [BibTex]
Optimization of Surface Registrations Using Beltrami Holomorphic Flow

Lok Ming Lui, T. W. Wong, Wei Zeng, Xianfeng Gu, Paul M. Thompson, Tony F. Chan,Shing-Tung Yau
Journal of Scientific Computing (JSC), 2012,Volume 50, Issue 3, pp 557-585. [Impact Factor: 2.23]
http://link.springer.com/article/10.1007/s10915-011-9506-2

Cited by 35 [BibTex]
Computing Shortest Words via Shortest Loops on Hyperbolic Surfaces

Xiaotian Yin, Yinghua Li, Wei Han, Feng Luo, Xianfeng Gu and Shing-Tung Yau
Computer-Aided Design (CAD), 43(11), 1449-1456, 2011. [Impact Factor: 2.35]
http://www.sciencedirect.com/science/article/pii/S0010448511002168

Cited by 2 [BibTex]
Context Preserving Maps of Tubular Structures

Joe Marino, Wei Zeng, Xianfeng Gu and Arie Kaufman
IEEE Transaction on Visualization and Computer Graphics (IEEE TVCG), 17(12):1997-2004, 2011. [Impact Factor: 4.77]
http://ieeexplore.ieee.org/abstract/document/6064963/

Cited by 7 [BibTex]
Authalic Parameterization of General Surfaces Using Lie Advection

Guangyu Zou, Jiaxi Hu, Xianfeng Gu, and Jing Hua
IEEE Transactions on Visualization and Computer Graphics (VIS), Vol.17, Issue.12, Pages.2005-2014, 2011. [Impact Factor: 4.77]
http://ieeexplore.ieee.org/document/6064964/

Cited by 18 [BibTex]
Fundamentals of Computational Conformal Geometry

Xianfeng Gu, Feng Luo and Shing-Tung Yau
Mathematics in Computer Science, DOI: 10.1007/s11786-011-0065-6, June 2011. [Impact Factor: 0.6]
http://link.springer.com/article/10.1007/s11786-011-0065-6

Cited by 6 [BibTex]
Ricci Flow for 3D Shape Analysis

Wei Zeng, Dimitris Samaras and Xianfeng Gu
IEEE Transactions on Pattern Analysis and Machine Intelligence (IEEE TPAMI), 32(4): 662-677,2010. [Impact Factor: 10.8]
https://ieeexplore.ieee.org/document/5374410

Cited by 73 [BibTex]
Volumetric Colon Wall Unfolding Using Harmonic Differentials

Wei Zeng, Joseph Marino, Arie Kaufman and Xianfeng Gu
Computer & Graphics (C&G), 35(3): 726-732, 2011. [Impact Factor: 2]
http://www.sciencedirect.com/science/article/pii/S0097849311000471

Cited by 9 [BibTex]
GPU-Assisted Computation of Centroidal Voronoi Tessellation

Guodong Rong, Yang Liu, Wenping Wang, Xiaotian Yin, Xianfeng Gu and Xiaohu Guo
IEEE Transaction on Visualization and Computer Graphics (TVCG), 17(3):345-356, March 2011. [Impact Factor: 4.77]
http://ieeexplore.ieee.org/abstract/document/5438988/

Cited by 40 [BibTex]
Supine and Prone Colon Registration Using Quasi-Conformal Mapping

Wei Zeng, Joseph Marino, Krishna C. Gurijala, Xianfeng Gu and A. Kaufman
IEEE Transactions on Visualization and Computer Graphics (IEEE TVCG), 16(6): 1348-1357, 2010. [Impact Factor: 4.12]
https://www.ncbi.nlm.nih.gov/pubmed/20975175

Cited by 51 [BibTex]
Detecting Shape Deformities Using Yamabe Flow and Beltrami Coefficients

Lok Ming Lui, T. W. Wong, Wei Zeng, Xianfeng Gu, Paul M. Thompson, Tony F. Chan andShing-Tung Yau
Journal of Inverse Problems and Imaging (IPI), 4(2):311-333, 2010. [Impact Factor: 2.18]
https://www.aimsciences.org/article/doi/10.3934/ipi.2010.4.311

Cited by 12 [BibTex]
Numerical Conformal Mapping of Multiply Connected Domains to Regions with Circular Boundaries

Wei Luo, Junfei Dai, Xianfeng Gu and Shing-Tung Yau
Journal of Computational and Applied Mathematics, 233(11):2940-2947, 2010. [Impact Factor: 1.6]
http://www.sciencedirect.com/science/article/pii/S0377042709007857

Cited by 4 [BibTex]
Detecting corpus callosum abnormalities in autism subtype using planar conformal mapping

Ye Duan, Qing He, Xiaotian Yin, Xianfeng Gu, Kevin Karsch, and Judith Miles
International Journal for Numerical Methods in Biomedical Engineering, 26(2):164-175, February 2010. [Impact Factor: 1.20]
http://onlinelibrary.wiley.com/doi/10.1002/cnm.1250

Cited by 3 [BibTex]
Symmetric Conformal Mapping for Surface Matching and Registration

Wei Zeng, Jing Hua and Xianfeng Gu
International Journal of CAD/CAM, 9(1):103-109, 2009. [Impact Factor: 2.41]
http://www.koreascience.or.kr/article/JAKO201033359738028.page

Cited by 5 [BibTex]
Generalized Discrete Ricci Flow

Yongliang Yang, Ren Guo, Feng Luo, Shimin Hu and Xianfeng Gu
Computer Graphics Forum, 28(7):2005-2014, October 2009. [Impact Factor: 2.14]
https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1467-8659.2009.01579.x

Cited by 22 [BibTex]
Intrinsic Geometric Scale Space by Shape Diffusion.

Guangyu Zou, Jinghua Hua, Z. Lai, Xianfeng Gu and Ming Dong
IEEE Transaction on Visualization and Computer Graphics (TVCG), 15(6):1193-1200, 2009. [Impact Factor: 4]
http://ieeexplore.ieee.org/abstract/document/5290729/

Cited by 28 [BibTex]
Recent Advancements in Computational Conformal Geometry

Xianfeng Gu, Feng Luo and Shing-Tung Yau
Communication on Information and System,2009,Vol. 9, No. 2, pp. 163-196. [Impact Factor: 1]
https://projecteuclid.org/euclid.cis/1261671387

Cited by 5 [BibTex]
Computing Fenchel-Nielsen Coordinates in Teichmuller Shape Space.

Miao Jin, Wei Zeng, Ning Ding, Xianfeng Gu and Shing-Tung Yau
Communication in Information and System, 2009,Vol.9, No.2, pp.213-234. [Impact Factor: 1]
https://projecteuclid.org/euclid.cis/1261671389

Cited by 16 [BibTex]
GPU-based Conformal Flow on Surfaces

Kyle Hegeman, Hongyu Wang, Michael Ashikhmin, Xianfeng Gu, Hong Qin
Communication on Information and System, 2009,Volume 9, 197-212. [Impact Factor: 1]
http://projecteuclid.org/euclid.cis/1261671388

Cited by 4 [BibTex]
Metric Driven RoSy Field Design and Remeshing

Yu-Kun Lai, Miao Jin, Xuexiang Xie, Ying He, Jonathan Palacios, Eugene Zhang, Shi-MinHu and Xianfeng Gu
IEEE Transaction on Visualization and Computer Graphics (TVCG), 16(1):95-108, 2009. [Impact Factor: 4]
http://ieeexplore.ieee.org/abstract/document/4967582/

Cited by 43 [BibTex]
Geometry-Aware Domain Decomposition for T-Spline-based Manifold Modeling

H.Wang, Ying He, Xin Li, Xianfeng Gu, and Hong Qin
Computer and Graphics, 33(3):359 - 368, 2009. [Impact Factor: 1.54]
http://www.sciencedirect.com/science/article/pii/S0097849309000211

Cited by 9 [BibTex]
Computing Teichmuller Shape Space

Miao Jin, Wei Zeng,Feng Luo and Xianfeng Gu
IEEE Transaction on Visualization and Computer Graphics(TVCG), 2009,Vol.15, Issue.3, Pages.504 - 517. [Impact Factor: 4]
http://ieeexplore.ieee.org/abstract/document/4624253/

Cited by 31 [BibTex]
Variational Method on Riemann Surfaces using Conformal Parameterization and its Applications to Image Processing

Lok Ming Lui, Xianfeng Gu, Tony F. Chan and Shing-Tung Yau
Journal of Methods and Applications of Analysis (MAA), 15(4):513-538,2008. [Impact Factor: 0.33]
https://projecteuclid.org/euclid.maa/1254492832

Cited by 15 [BibTex]
Shape Analysis by Conformal Modules

Wei Zeng, Lok Ming Lui, Xianfeng Gu , Shing-Tung Yau
Journal of Methods and Applications of Analysis (MAA), 15(4):539-556, 2008. [Impact Factor: 0.33]
http://projecteuclid.org/euclid.maa/1254492833

Cited by 15 [BibTex]
Discrete Surface Ricci Flow

Miao Jin, J.Kim,Feng Luo and Xianfeng Gu
IEEE Transaction on Visualization and Computer Graphics (TVCG),14(5):1030-1043, 2008. [Impact Factor: 4.15]
http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=4483509

Cited by 53 [BibTex]
Optimal Surface Parameterization Using Inverse Curvature Map

Yongliang Yang, Junho Kim, Feng Luo, Shimin Hu and Xianfeng Gu
IEEE Transaction on Visualization and Computer Graphics (TVCG), 14(5):1054-1066,2008. [Impact Factor: 4.15]
https://ieeexplore.ieee.org/document/4479457

Cited by 41 [BibTex]
Globally Optimal Surface Mapping for Surfaces with Arbitrary Topology

Xin Li, Y. Bao, Xianfeng Guo, Miao Jin, Xianfeng Gu and Hong Qin
IEEE Transaction on Visualization and Computer Graphics (TVCG), 14(4):805-819,2008. [Impact Factor: 4.15]
http://ieeexplore.ieee.org/abstract/document/4447666/

Cited by 48 [BibTex]
Geodesic distance-weighted shape vector image diffusion

Jing Hua, Z. Lai, Guangyu Zou, Xianfeng Gu and Hong Qin
EEE Transaction on Visualization and Computer Graphics(TVCG), 14(6):1643-1650, 2008. [Impact Factor: 4.15]
http://ieeexplore.ieee.org/abstract/document/4658186/

Cited by 33 [BibTex]
Surface Matching Using Consistent Pants Decomposition

Xin Li, Xianfeng Gu and Hong Qin
IEEE Transaction on Visualization and Computer Graphics (TVCG), 15(4)558-571, 2009. [Impact Factor: 4.15]
https://ieeexplore.ieee.org/document/4738453

Cited by 16 [BibTex]
Meshless Harmonic Volumetric Mapping using Fundamental Solution Methods

Xin Li, Xianfeng Guo, Xianfeng Gu and Hong Qin
IEEE Transaction on Automation Science and Engineering (TASE), 6(3):409-422,2008. [Impact Factor: 2.59]
http://ieeexplore.ieee.org/abstract/document/4908967/

Cited by 45 [BibTex]
Polycube Splines

H. Wang, Ying He, Xin Li, Xianfeng Gu and Hong Qin
Computer-Aided Design (CAD), 40(6):721-733, 2008. [Impact Factor: 1.97]
http://www.sciencedirect.com/science/article/pii/S0010448508000389

Cited by 125 [BibTex]
Manifold Splines with Single Extraordinary Point

Xianfeng Gu, Ying He, Miao Jin, Feng Luo, Hong Qin and Shing-Tung Yau
Computer-Aided Design (CAD), 40(6):676-690,2008. [Impact Factor: 1.97]
http://www.sciencedirect.com/science/article/pii/S0010448508000365

Cited by 36 [BibTex]
Slit Map:Linear Conformal Parameterization for Multiply Connected Domains

Xiaotian Yin, Junfei Dai, Shing-Tung Yau and Xianfeng Gu
Volume 4975 of the series LectureNotes in Computer Science pp 410-422 Computer-Aided Geometric Design (CAGD), 2008. [Impact Factor: 2.05]
https://link.springer.com/chapter/10.1007%2F978-3-540-79246-8_31?LI=true

Cited by 14 [BibTex]
High Resolution Tracking of Non-Rigid Motion of Densely Sampled 3D Data Using Harmonic Maps

Y.Wang, M. Gupta, S.Zhang, S. Wang, Xianfeng Gu, Dimitris Samaras, and P. Huang
International Journal of Computer Vision (IJCV), 76(3)283C300, 2008. [Impact Factor: 7.01]
https://link.springer.com/article/10.1007/s11263-007-0063-y

Cited by 116 [BibTex]
Brain Surface Conformal Parameterization using Riemann Surface Structure

Yalin Wang, Lok Ming Lui, Xianfeng Gu, K. Hayashi, Tony F. Chan, Arthur W. Toga, PaulM. Thompson and Shing-Tung Yau
IEEE Transactions on Medical Imaging (TMI), 26(6):853-865, June 2007. [Impact Factor: 5.2]
http://ieeexplore.ieee.org/document/4214888/

Cited by 72 [BibTex]
Computing General Geometric Structures on Surfaces Using Ricci Flow

Miao Jin, Feng Luo, and Xianfeng Gu
Computer-Aided Design (CAGD), 39(8):663-675, August2007. [Impact Factor: 2.4]
http://www.sciencedirect.com/science/article/pii/S0010448507001182

Cited by 16 [BibTex]
Conformal Geometry and Its Applications on 3D Shape Matching, Recognition and Stitching

S. Wang, Yang Wang, Miao Jin, Xianfeng Gu and Dimitris Samaras
IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI), 29(7):1209-1220 July2007. [Impact Factor: 8.99]
http://ieeexplore.ieee.org/abstract/document/4204163/

Cited by 123 [BibTex]
Computing Shortest Cycles Using Universal Covering Space

Xiaotian Yin, Miao Jin, and Xianfeng Gu
Visual Computer, 23(12):999-1004, 2007. [Impact Factor: 1.29]
http://link.springer.com/article/10.1007/s00371-007-0169-9

Cited by 21 [BibTex]
Geometric Accuracy Analysis for Discrete Surface Approximation. Computer Aided

Junfei Dai, Wei Luo, Miao Jin, Wei Zeng, Ying He, Shing-Tung Yau and Xianfeng Gu.
Computer Aided Geometric Design (CAGD), 24(6):323-338, August 2007. [Impact Factor: 2.4]
http://www.sciencedirect.com/science/article/pii/S0167839607000350

Cited by 24 [BibTex]
Conformal Spherical Parameterization for High Genus Surfaces

Wei Zeng, Xin Li, Shing-Tung Yau and Xianfeng Gu
Communication on Information and Systems, 7(3):273-286, 2007. [Impact Factor: 1]
https://projecteuclid.org/euclid.cis/1201531975

Cited by 7 [BibTex]
Curve Space: Classifying Curves on Surfaces

Xin Li, Xianfeng Gu and Hong Qin
Communication on Information and Systems, 7(3):207-226, 2007. [Impact Factor: 1]
https://projecteuclid.org/euclid.cis/1201531972

Cited by 3 [BibTex]
An Effective Illustrative Visualization Framework Based on Photic Extremum Lines(PELs)

X. Xie, Ying He, F. Tian, H. Seah, Xianfeng Gu and Hong Qin
IEEE Transactions on Visualization and Computer Graphics (TVCG), 13(6):1328-1335, 2007. [Impact Factor: 4.02]
http://dl.acm.org/citation.cfm?id=1313164

Cited by 58 [BibTex]
Manifold splines

Xianfeng Gu, Ying He, and Hong Qin
Graphical Models, 68(3):237-254,2006. [Impact Factor: 1.68]
http://www.sciencedirect.com/science/article/pii/S152407030600021X

Cited by 111 [BibTex]
Meshless Thin-Shell Simulation Based on Global Parameterization

Xianfeng Guo, Xin Li, Yunfan Bao, Xianfeng Gu and Hong Qin
IEEE Transactions on Visualization and Computer Graphics (TVCG), 12(3):375-385, 2006. [Impact Factor: 3.68]
https://www.ncbi.nlm.nih.gov/pubmed/16640251

Cited by 68 [BibTex]
Automatic Shape Control of Triangular B-Splines of Arbitrary Topology

Ying He, Xianfeng Gu and Hong Qin
Journal of Computer Science and Technology (JCST),21(2):232-237, 2006. [Impact Factor: 0.69]
http://link.springer.com/article/10.1007/s11390-006-0232-4

Cited by 20 [BibTex]
Surface Segmentation using Global Conformal Structure

Yalin Wang, Xianfeng Gu, Shing-Tung Yau
Communications in Information and Systems 4(2):165-180, 2005. [Impact Factor: 1]
http://projecteuclid.org/euclid.cis/1119640071

Cited by 3 [BibTex]
Optimal Global Conformal Surface Parameterization for Visualization

Miao Jin, Yalin Wang, Xianfeng Gu, Shing-Tung Yau
Communications in Information and Systems,4(2):117-134, 2005. [Impact Factor: 1]
https://projecteuclid.org/euclid.cis/1119640069

Cited by 97 [BibTex]
Uniform Texture Synthesis and Texture Mapping Using Global Parameterization

Lujin Wang, Xianfeng Gu, Klaus Mueller, Shing-Tung Yau
The Visual Computer, 21(8-10):801-810, 2005. [Impact Factor: 1.37]
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.110.5415

Cited by 29 [BibTex]
Genus Zero Surface Conformal Mapping and Its Application to Brain Surface Mapping.

Xianfeng Gu, Yalin Wang, Tony F. Chan, Paul M. Thompson and Shing-Tung Yau
IEEE Transaction on Medical Imaging (TMI), 23(8):949-958, August 2004. [Impact Factor: 5.16]
http://ieeexplore.ieee.org/abstract/document/1318721/

Cited by 441 [BibTex]
Geometric Compression Using Riemann Surface Structure

Xianfeng Gu, Yalin Wang and Shing-Tung Yau
Communications in Information and Systems, 3(3):171-182,2004. [Impact Factor: 1]
http://projecteuclid.org/euclid.cis/1088692281

Cited by 23 [BibTex]
Computing Conformal Invariants: Period Matrices

Xianfeng Gu, Yalin Wang and Shing-Tung Yau
Communications in Information and Systems, 3(3):153-170, 2004. [Impact Factor: 1]
http://projecteuclid.org/euclid.cis/1088692280

Cited by 21 [BibTex]
Volumetric Harmonic Map

Yalin Wang, Xianfeng Gu and Shing-Tung Yau
Communications in Information and Systems, 3(3):191-202, 2004. [Impact Factor: 1]
http://projecteuclid.org/euclid.cis/1088692283

Cited by 56 [BibTex]
Multiresolution Computation of Conformal Structures of Surfaces

Xianfeng Gu, Yalin Wang and Shing-Tung Yau
Journal of Systemics, Cybernetics and Informatics, 1(5)45-50, 2004. [Impact Factor: 0.562]
https://pdfs.semanticscholar.org/1877/4b8f57bb0a1544547804e043653fa3019e1f.pdf

Cited by 8 [BibTex]
Fundamentals of Spherical Parameterization for 3D Meshes

Craig Gotsman, Xianfeng Gu and Alla Sheffer
ACM Transaction on Graphics (TOG), 22(3):358-363,2003. [Impact Factor: 11.6]
http://dl.acm.org/citation.cfm?id=882276

Cited by 313 [BibTex]
Computing Conformal Structures of Surfaces.

Xianfeng Gu and Shing-Tung Yau
Communications in Information and Systems, 2(2):121-146, December 2002 [Impact Factor: 1]
https://www.semanticscholar.org/paper/Computing-conformal-structures-of-surfaces-Gu-Yau/4c65f8aafd32062b710497b8098d98260a729115

Cited by 179 [BibTex]
Geometry Images

Xianfeng Gu, Steven J. Gortler and Hugues H. Hoppe
ACM Transaction on Graphics, 21(3):355-361, 2002. [Impact Factor: 3.27]
http://dl.acm.org/citation.cfm?doid=566570.566589

Cited by 872 [BibTex]

BooksJournalsConferences

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

Computational Generation and Conformal Fabrication of Woven Fabric Structures by Hamonic Foliation

Convergence of Discrete Conformal Geometry and Computation of Uniformization Maps

A Discrete Uniformization Theorem for Polyhedral Surfaces I

A Discrete Uniformization Theorem for Polyhedral Surfaces II

Geometric Understanding of Deep Learning

Quadrilateral Mesh Generation I: Metric Based Method

Mesh Parameterization Driven by Unit Normal Flow

Polycube Shape Space

Discrete Lie flow: A measure controllable parameterization method

Spherical Optimal Transportation

Curvature Adaptive Surface Remeshing By Sampling Normal Cycle

Concurrent Optimization of Structural Topology and Infill Properties with a CBF-Based Level Set Method

A Geometric View of Optimal Transportation and Generative Model

Topology Optimization of Conformal Structures on Manifolds Using Extended Level Set Methods (XLSM) and Conformal Geometry Theory

Optimal Mass Transport based Brain Morphometry for Patients with Congenital Hand Deformities

Robust edge-preserving surface mesh polycube deformation

Supine to Prone Colon Registration and Visualization Based on Optimal Mass Transport

Computational Design and Additive Manufacturing of Periodic Conformal Metasurfaces by Synthesizing Topology Optimization with Conformal Mapping

Conformal Mesh Parameterization Using Discrete Calabi Flow

Surface Parameterization Based on Polar Factorization

Volume Preserving Mesh Parameterization based on Optimal Mass Transportation

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

Generalized Regular Quadrilateral Mesh Generation based on Surface Foliation

On Tetrahedralisations Containing Knotted and Linked Line Segments.

Robust surface registration using optimal mass transport and Teichmller mapping

Quadrilateral and hexahedral mesh generation based on surface foliation theory II

Quadrilateral and hexahedral mesh generation based on surface foliation theory

Hyperbolic Harmonic Mapping for Surface Registration

Spherical Parameterization Balancing Angle and Area Distortions

Higher-order Graph Principles towards Non-rigid Surface Registration

Area-preserving Mesh Parameterization for Poly-Annulus Surfaces Based on Optimal Mass Transportation

Image Morphing with Conformal Welding

Measure Controllable Volumetric Mesh Parameterization

Variational Principles for Minkowski Type Problems, Discrete Optimal Transport, and Discrete Monge-Ampere Equations

Compact Conformal Map for Greedy Routing in Wireless Mobile Sensor Networks

Dynamic Unified Surface Ricci Flow

Computing Teichmuller maps between polygons

Intrinsic computation of centroidal Voronoi tessellation(CVT) on meshes

Brain morphometry on congenital hand deformities based on Teichmuller space theory

A Novel ColonWall Flattening Model for Computed Tomographic Colonography Method and Validation

Survey on Discrete Surface Ricci Flow

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

Convergence of an iterative algorithm for Teichmuler maps via harmonic energy optimization

Interior structure transfer via harmonic 1-forms

Discrete Conformal Deformation: Algorithmand Experiments

GRIP: Greedy Routing through dIstributed Parametrization for guaranteed delivery in WSNs.

Landmark Constrained Genus-one Surface Teichmuller Map Applied to Surface Registration in Medical Imaging

Optimal Mass Transport for Shape Matching and Comparison

Deterministic Greedy Routing with Guaranteed Delivery in 3D Wireless Sensor Networks

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

Surface Meshing with Curvature Convergence

From a projective invariant to some new properties of algebraic hypersurfaces

The Unified Discrete Surface Ricci Flow

Shape Signature based on Ricci Flow and Optimal Mass Transportation

Computing Extremal Teichmuler Map of Multiply-Connected Domains Via Beltrami Holomorphic Flow

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

Conformal Parameterization for Multiply-Connected Domains: Combining Finite Elements and Complex Analysis

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

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

Teichmuller Shape Descriptor and Its Application to Alzheimer's Disease Study

Texture map and video compression using Beltrami representation

Kernel estimation from salient structure for robust motion deblurring

Consolidation of Low-Quality Point Clouds from Outdoor Scenes

A conformal Approach for Surface Inpainting

Colon Flattening using Heat Diffusion Riemannian Metric

Area-preservation Mapping using Optimal Mass Transport

Ricci flow-based spherical parameterization and surface registration

Shape Analysis of Planar Multiply-connected Objects using Conformal Welding

Discrete Heat Kernel Determines Discrete Reimannian Metric

Canonical conformal mapping for high genus surfaces with boundaries

Computing Quasiconformal Mappings on Riemann Surfaces Using Auxiliary Metric Based on Discrete Curvature Flow

Conformal Magnifier: A Fcous + Context Technique with Minimal Distortion

Brain Surface Conformal Parameterization with the Ricci Flow.

Numerical Computation of Surface Conformal Mappings

Optimization of Surface Registrations Using Beltrami Holomorphic Flow

Computing Shortest Words via Shortest Loops on Hyperbolic Surfaces

Context Preserving Maps of Tubular Structures

Authalic Parameterization of General Surfaces Using Lie Advection

Books Journals Conferences