Yang Liu (刘洋)

Principal Researcher

Contact

Internet Graphics Group
Microsoft Research Asia
13130, Microsoft Tower 2,
No. 5 Dan Ling Street,
Haidian District
Beijing, P.R. China, 100080

📧: Email me

[Google Scholar]

Education and Work Experience

Researcher, Microsoft Research Asia, 2010-now.
PostDoc, Alice Group, LORIA/INRIA, 2008-2010.
Ph.D in Computer Science, The University of Hong Kong (HKU), 2008.
Bachelor, Master in Mathematics, University of Science and Technology of China (USTC), 2000 and 2003, respectively.

Research Interest

Geometric Computation and Optimization
Learning-based Geometry Processing and Synthesis
Mesh processing and generation

Professional Activities

Executive Committee Member of Asiagraphics (2024-now)
Associate editor: IEEE TVCG (2019-2023, Best Associate Editor Award 2021), ACM Transactions on Graphics (2021.6-now)

IEEE Computer Graphics and Applications

Conference Co-Chair: Shape Modeling International 2022
Program Co-Chair: Shape Modeling International 2021, Geometric Modeling and Processing 2019
Area Chair: International Symposium on Visual Computing 2022
Communication Co-Chair: Shape Modeling International 2023/2024
Guest Editor:J. CAGD (2019), Computer & Graphics (2021), IEEE Multimedia (2022)
Program Committee: Siggraph Asia 2014/2019/2020/2022, SGP 2014/2015/2016/2018/2019/2020/2021/2022/2023/2024, Pacific Graphics 2013/2014/2015/2016/2017/2018, Geometric Modeling and Processing 2014/2015/2016/2017/2018/2020/2021/2023/2024, Advances in Architectural Geometry 2014/2016/2018, CAD/Graphics 2013/2015/2017/2021, GDC 2017, ChinaGraph 2018/2020/2022/2024, ChinaVR 2020, CVM 2019/2020/2021/2022/2023, CAD&CG&GDC(China) 2018, GDC 2020(China), 3DRW 2018/2019
Workshop organizer: First Workshop on Deep Learning Foundations of Geometric Shape Modeling and Reconstruction at CVPR 2020
Paper Reviewer: Siggraph, Siggraph Asia, Eurographics, CVPR, SGP, PG, GMP, GI, VR, CAD/Graphics, IEEE Vis, CVM, 3DV, TOG, TVCG, PAMI, CAD, CAGD, IEEE CGA, J. Symbolic Computation, Visual Computer, Computers and Graphics, Graphics Models, Signal Processing: Image Communication, Journal of Computer Science and Technology, 3DV, 3DRW, ACDDE, Machine Vision Applications, ISVC.

Code

HLBFGS: A hybrid L-BFGS optimization framework which unifies L-BFGS method, Preconditioned L-BFGS method, Preconditioned Conjugate Gradient method. (Source code in C++).
QCVT: Fast 3D Centroidal Voronoi Tessellation for a convex domain. ( Windows executable files only)
3D Voronoi Tessellation and Restricted Voronoi Diagram. Source code is available in the supplemental material of LpCVT paper.

Gallery and Models

Discrete Surfaces in Isotropic Geometry: some nice quadrilateral and hexagonal meshes are available.

Intern students

Xin-Yang Zheng (PHD candidate from Tsinghua Univ., 2021.7--now)

Yu-Qi Yang (PHD candidate from TSinghua Univ., 2017.7--2018.5, 2019.2--2024.1)
Jian-Yu Xiong (Master candidate from Tsinghua Univ., 2022.12--2023.5)
Siming Yan (PHD candidate from UT Austin, 2022.5--2022.11)
Dr. Hao-Xiang Guo (PhD candidate, from Tsinghua Univ., 2018.1--2022.9), now work at miHoYo
Jie Pan (Master candidate from USTC Univ., 2021.4--2022.8)
Dr. Chun-Yu Sun (PhD Candidate, from Tsinghua Univ., 2016.11--2022.5), now work at Momenta
Dr. Shi-Lin Liu (PhD Candidate, from USTC, 2014.7--2015.5, 2016.7--2021.6), now work at Momenta
Xin Li (Master Candidate, from PKU, 2020.9-2021.3)
FengYuSheng Wang (Undergraduate, from USTC, 2019.2-2019.6, 2020.5--2020.9)
Qian-Fang Zou (Master Candidate, from USTC, 2018.9--2020.4)
Xiaohan Liu (Master Candidate, from UCAS, 2018.9--2019.1), now PHD student at Univ. of Tokyo
Dr. Ran Zhang (PHD Candidate, from IST Austria, 2018.8--2018.11), now work at Tencent
Ke Qu (Master Candidate, from Zhejiang Univ., 2018.6-2018.9), now work at Microsoft
Dr. Chang-Jian Li (PhD Candidate, from HKU, 2016.2--2016.7, 2016.11--2018.1, 2018.5-2018.8), now assistant professor at Univ. of Edinburgh.
Dr. Peng-Shuai Wang (PhD candidate, from Tsinghua, 2014.2--2018.7), now assistant professor at PKU.
Dr. Xiao-Ming Fu (PhD Candidate, from USTC, 2012.9--2016.6), now associate professor at USTC.
Dr. Chong-Yang Bai (Undergraduate, from USTC, 2015.9--2016.6), now work at Microsoft.
Dr. Caigui Jiang (PhD Candidate, from KAUST, 2015.6--2015.8), now Professor at Xi'an Jiaotong University.
Dr. Shuo Jin (PhD Candidate, from CUHK, 2014.8--2015.1)
Dr. Shuang-Ming Chai (Undergraduate, from USTC, 2013.7--2014.5).
Dr. Mario Deuss (PhD Candidate, from EPFL, 2013.6--2013.9)
Dr. Pan Hao (PhD Candidate, from HKU, 2012.9--2013.1), now researcher at MSRA.
Dr. Yufei Li (PhD Candidate, from HKU, 2011.9--2012.2), now at Citadel GQS.
Dr. Jun Wang (PhD Candidate, from USTC, 2010.7--2011.1), now work at BaiDu.

Publications and Manuscripts

2024
	Yu-Qi Yang, Yu-Xiao Guo, Yang Liu: Swin3D++: Effective Multi-Source Pretraining for 3D Indoor Scene Understanding, accepted to Computational Visual Media (J) Journal, 2024.
	Xin-Yang Zheng, Hao Pan, Yu-Xiao Guo, Xin Tong, Yang Liu: MVD²: Efficient Multiview 3D Reconstruction for Multiview Diffusion, SIGGRAPH, conference version, 2024. Project Page, Paper (High resolution)
	Siming Yan, Yu-Qi Yang, Yu-Xiao Guo, Hao Pan, Peng-Shuai Wang, Xin Tong, Yang Liu, Qixing Huang: 3D Feature Prediction for Masked-AutoEncoder-Based Point Cloud Pretraining, ICLR 2024.
2023
	Jiepeng Wang, Hao Pan, Yang Liu, Xin Tong, Taku Komura and Wenping Wang: StructRe: Rewriting for Structured Shape Modeling, preprint, 2023.
	Mutian Xu, Xingyilang Yin, Lingteng Qiu, Yang Liu, Xin Tong, Xiaoguang Han: SAMPro3D: Locating SAM Prompts in 3D for Zero-Shot Scene Segmentation, preprint, 2023.
	Yu-Qi Yang, Yu-Xiao Guo, Jian-Yu Xiong, Yang Liu, Hao Pan, Peng-Shuai Wang, Xin Tong, Baining Guo: Swin3D: A Pretrained Transformer Backbone for 3D Indoor Scene Understanding, accepted to Computational Visual Media (J) , 2023. Project Page
	Xin-Yang Zheng, Hao Pan, Peng-Shuai Wang, Xin Tong, Yang Liu, Heung-Yeung Shum: Locally Attentional SDF Diffusion for Controllable 3D Shape Generation, ACM Transactions on Graphics(SIGGRAPH), Journal version, 2023. Project Page
2022
	Hao-Xiang Guo, Yang Liu, Hao Pan, Baining Guo: Implicit Conversion of Manifold B-Rep Solids by Neural Halfspace Representation, ACM Transactions on Graphics(SIGGRAPH ASIA), 2022. [Project page] [Code] [Surface Extraction Code]
	Chun-Yu Sun, Xin Tong, Yang Liu: Semantic Segmentation-assisted Instance Feature Fusion for Multilevel 3D part Instance Segmentation, Computational Visual Media (J), 2022. [Project page]
	Xin-Yang Zheng, Yang Liu, Peng-Shuai Wang, Xin Tong: SDF-StyleGAN: Implicit SDF-Based StyleGAN for 3D Shape Generation, Computer Graphics Forum (SGP), 2022. [Supplemental] [Project page]
	Peng-Shuai Wang, Xin Tong, Yang Liu: Dual Octree Graph Networks for Learning Adaptive Volumetric Shape Representations, ACM Transactions on Graphics(SIGGRAPH), 2022. [Project page]
	Hao-Xiang Guo, Shi-Lin Liu, Hao Pan, Yang Liu, Xin Tong, Baining Guo: ComplexGen: CAD Reconstruction by B-Rep Chain Complex Generation, ACM Transactions on Graphics(SIGGRAPH), 2022. [Project page]
	Chun-Yu Sun, Yu-Qi Yang, Hao-Xiang Guo, Peng-Shuai Wang, Xin Tong, Yang Liu, Heung-Yeung Shum: Semi-Supervised 3D Shape Segmentation with Multilevel Consistency and Part Substitution, Computational Visual Media (J). [Project page]
	Zhi Deng, Yang Liu, Hao Pan, Wassim Jabi, Juyong Zhang, Bailin Deng: Sketch2PQ: Freeform Planar Quadrilateral Mesh Design via a Single Sketch, IEEE Transactions on Visualization & Computer Graphics. [video].
2021
	Long Ma, Sidan Yao, Jianming Zheng, Yang Liu, Yuanfeng Zhou, Shiqing Xin, Ying He: Constructing Self-Supporting Surfaces with Planar Quadrilateral Elements, Computational Visual Media (J), 2022.
	Yu-Qi Yang, Peng-Shuai Wang, Yang Liu: Interpolation-Aware Padding for 3D Sparse Convolutional Neural Networks, ICCV 2021. [Project page]
	Peng-Shuai Wang, Yang Liu, Yu-Qi Yang, Xin Tong: Spline Positional Encoding for Learning 3D Implicit Signed Distance Fields, IJCAI 2021. [Project page]
	Shi-Lin Liu, Hao-Xiang Guo, Hao Pan, Peng-Shuai Wang, Xin Tong, Yang Liu: Deep Implicit Moving Least-Squares Functions for 3D Reconstruction, CVPR 2021. [Code]
2020
	Peng-Shuai Wang, Yu-Qi Yang, Qian-Fang Zou, Zhirong Wu, Yang Liu, Xin Tong: Unsupervised 3D Learning for Shape Analysis via Multiresolution Instance Discrimination, AAAI 2021. [Project page]
	Peng-Shuai Wang, Yang Liu, Xin Tong: Deep Octree-based CNNs with Output-Guided Skip Connections for 3D Shape and Scene Completion, CVPR 2020 Workshop. [Code]
	Qian-Fang Zou, Ligang Liu, Yang Liu: Instance-level 3D shape retrieval from a single image by hybrid-representation-assisted joint embedding, The Visual Computer, 2020.
	Hao-Xiang Guo, Xiaohan Liu, Dong-Ming Yan, Yang Liu: Cut-enhanced PolyCube-Maps for Feature-aware All-Hex Meshing, ACM Transactions on Graphics(SIGGRAPH), 2020. [supplemental], [Project page].
	Yu-Qi Yang, Shi-Lin Liu, Hao Pan, Yang Liu, Xin Tong: PFCNN: Convolutional Neural Networks on 3D Surfaces Using Parallel Frames, IEEE CVPR, 2020. [Project page].
	Changjian Chen, Jun Yuan, Yafeng Lu, Yang Liu, Hang Su, Songtao Yuan, Shixia Liu: OoDAnalyzer: Interactive Analysis of Out-of-Distribution Samples, IEEE TVCG, 2020. [Videos]
	Shi-Lin Liu, Yang Liu, Lan-Fang Dong, Xin Tong: RAS: A Data-driven Rigidity-Aware Skinning Model for 3D Facial Animation, Computer Graphics Forum, 39(1), 581--594, 2020. [Videos]
2019
	Lei Chu, Hao Pan, Yang Liu, Wenping Wang: Repairing Man-Made Meshes via Visual Driven Global Optimization with Minimum Intrusion, ACM Transactions on Graphics(SIGGRAPH Asia), 38(6), Article 158, 2019. [Project page].
	Chun-yu Sun, Qian-fang Zou, Xin Tong, Yang Liu: Learning Adaptive Hierarchical Cuboid Abstractions of 3D Shape Collections, ACM Transactions on Graphics(SIGGRAPH Asia) , 38(6), Article 241, 2019. [Project page].
	Lei Chu, Pengbo Bo, Yang Liu, Wenping Wang: Surface Fairing towards Regular Principal Curvature Line Networks, Computer Graphics Forum (Pacific Graphics), 2019.
	Jie Zhu, Yunfeng Zhang, Jie Guo, Huikun Liu, Mingming Liu, Yang Liu, Yanwen Guo: Label Transfer between Images and 3D Shapes via Local Correspondence Encoding, Geometric Modeling and Processing - GMP 2019, Computer Aided Geometric Design, 71, 255-266.
2018
	Hao Pan, Shi-Lin Liu, Yang Liu, Xin Tong: Convolutional Neural Networks on 3D Surfaces Using Parallel Frames, arXiv:1808.04952, 2018.
	Changjian Li, Hao Pan, Yang Liu, Xin Tong, Alla Sheffer, Wenping Wang: Robust Flow-Guided Neural Prediction for Sketch-Based Freeform Surface Modeling, ACM Transactions on Graphics(SIGGRAPH Asia) , 37(6), 2018. [Project page]
	Peng-Shuai Wang, Chun-Yu Sun, Yang Liu, Xin Tong: Adaptive O-CNN: A Patch-based Deep Representation of 3D Shapes, ACM Transactions on Graphics(SIGGRAPH Asia), 37(6), 2018. [Project page], Open source code.
2017
	Li-Ke Ma, Yizhong Zhang, Yang Liu, Kun Zhou, Xin Tong: Computational Design and Fabrication of Soft Pneumatic Objects with Desired Deformations, ACM Transactions on Graphics(SIGGRAPH Asia), 36(6), 2017. [Video], [Project page].
	Peng-Shuai Wang, Yang Liu, Yu-Xiao Guo, Chun-Yu Sun, Xin Tong: O-CNN: Octree-based Convolutional Neural Networks for 3D Shape Analysis, ACM Transactions on Graphics(SIGGRAPH), 36(4), 2017. [Project page], Open source code.
	Changjian Li, Hao Pan, Yang Liu, Xin Tong, Alla Sheffer, Wenping Wang: BendSketch: Modeling Freeform Surfaces Through 2D Sketching, ACM Transactions on Graphics(SIGGRAPH) , 36(4), 2017. [Project page]
	Shuo Jin, Chengkai Dai, Yang Liu, Charlie C.L. Wang: Motion Imitation Based on Sparsely Sampled Correspondence, Journal of Computing and Information Science in Engineering, 2017. [Video]
	Saifeng Ni, Zichun Zhong, Yang Liu, Wenping Wang, Zhonggui Chen and Xiaohu Guo: Sliver-Suppressing Tetrahedral Mesh Optimization with Gradient-Based Shape Matching Energy, Geometric Modeling and Processing - GMP 2017, Computer Aided Geometric Design, 52-53, 247-261. [DOI]
2016
	Yiqi Cai, Xiaohu Guo, Yang Liu, Wenping Wang, Weihua Mao, and Zichun Zhong : Surface Approximation via Asymptotic Optimal Geometric Partition, IEEE Transactions on Visualization & Computer Graphics , 23(12), 2613-2626, 2016. supplement material, video. [DOI]
	Xiao-Ming Fu, Chong-Yang Bai and Yang Liu: Efficient Volumetric PolyCube-Map Construction, Computer Graphics Forum (Pacific Graphics) 35(7), 2016. Project page, supplement material. [DOI]
	Xiao-Ming Fu and Yang Liu: Computing Inversion-Free Mappings by Simplex Assembly, ACM Transactions on Graphics(SIGGRAPH Asia), 35(6), 2016. Project page, supplement material, code. [DOI]
	Peng-Shuai Wang, Yang Liu and Xin Tong: Mesh Denoising via Cascaded Normal Regression, ACM Transactions on Graphics(SIGGRAPH Asia) , 35(6), 2016. Project page(code and data). [DOI]
	Pengbo Bo, Yang Liu, Changhe Tu, Caiming Zhang and Wenping Wang: Surface Fitting with Cyclide Splines, Geometric Modeling and Processing - GMP 2016, Computer Aided Geometric Design, 43(1), 2--15. [DOI]
2015
	Peng-Shuai Wang, Xiao-Ming Fu, Yang Liu, Xin Tong, Shi-Lin Liu and Baining Guo: Rolling Guidance Normal Filter for Geometric Processing, ACM Transactions on Graphics(SIGGRAPH Asia), 34(6), 2015. Data, Program, slides. [DOI]
	Xiao-Ming Fu, Yang Liu and Baining Guo: Computing Locally Injective Mappings by Advanced MIPS, ACM Transactions on Graphics(SIGGRAPH) 34(4), 2015. Data. [DOI]
	Pan Hao, Yang Liu, Alla Sheffer, Nicholas Vining, Chang-Jian Li and Wenping Wang: Flow Aligned Surfacing of Curve Networks, ACM Transactions on Graphics(SIGGRAPH) 34(4), 2015. data, Project page. [DOI]
	Yufei Li, Yang Liu and Wenping Wang: Planar Hexagonal Meshing for Architecture, IEEE Transactions on Visualization & Computer Graphics , 95-106, 2015. IEEE TVCG spotlight article for Jan. 2015. Appendix. [DOI]
before 2015
	Xiao-Ming Fu, Yang Liu, John Snyder and Baining Guo: Anisotropic Simplicial Meshing Using Local Convex Functions, ACM Transactions on Graphics(SIGGRAPH Asia) 33(6), 2014. [DOI], Anisotropic Mesh results, slides.
	Mario Deuss, Daniele Panozzo, Emily Whiting, Yang Liu, Philippe Block, Olga Sorkine-Hornung and Mark Pauly: Assembling Self-Supporting Structures, ACM Transactions on Graphics(SIGGRAPH Asia) 33(6), 2014. [DOI], Video and data. Project page.
	Lei Liu, Yongjie Zhang, Yang Liu and Wenping Wang: Feature-Preserving T-mesh Construction Using Skeleton-based Polycubes, Computer Aided Design (SPM 2014), 162-172. [DOI]
	Shixia Liu, Yingcai Wu, Enxun Wei, Mengchen Liu and Yang Liu : StoryFlow: Tracking the Evolution of Stories, IEEE InfoVis 2013 , IEEE Transactions on Visualization & Computer Graphics 19(12), 2436-2445, 2013. Project page [DOI]
	Yupeng Zhang, Teng Han, Zhimin Ren, Nobuyuki Umetani, Xin Tong, Yang Liu, Takaaki Shiratori and Xiang Cao: BodyAvatar: Creating Freeform 3D Avatars using First-Person Body Gestures, UIST 2013, 387-396. Project page(Demo). [DOI]
	Yang Liu, Pan Hao, John Snyder, Wenping Wang and Baining Guo: Computing Self-Supporting Surfaces by Regular Triangulation, ACM Transactions on Graphics(SIGGRAPH) 32(4), 2013. Supplemental material, slides. [DOI]
	Yufei Li, Yang Liu, Weiwei Xu, Wenping Wang and Baining Guo: All-Hex Meshing using Singularity-Restricted Field, ACM Transactions on Graphics(SIGGRAPH Asia) 31(6), 177:1-177:11, 2012. Supplemental material (videos and data), slides. [DOI]
	Lifeng Zhu, Weiwei Xu, John Snyder, Yang Liu, Guoping Wang and Baining Guo: Motion-Guided Mechanical Toy Modeling, ACM Transactions on Graphics(SIGGRAPH Asia) 31(6), 127:1-127:10, 2012. Supplemental material. [DOI]
	Dong-Ming Yan, Wenping Wang, Yang Liu and Zhouwang Yang: Variational Mesh Segmentation via Quadric Surface Fitting, Computer-Aided Design , 44(11), 1072-1082, 2012. [DOI]
	Hao Pan, Yi-King Choi, Yang Liu, Wenchao Hu, Qiang Du, Konrad Polthier, Robust Modeling of Constant Mean Curvature Surfaces, ACM Transactions on Graphics(SIGGRAPH) 31(4), 85:1-85:11, 2012. [Supplemental material, slides. [DOI]
	Wenni Zheng, Pengbo Bo, Yang Liu, Wenping Wang: Fast B-spline Curve Fitting by L-BFGS, Geometric Modeling and Processing - GMP 2012, Computer Aided Geometric Design, 29(7), 448-462, 2012. [DOI]
	Feng Sun, Yi-King Choi, Wenping Wang, Dong-Ming Yan, Yang Liu, Bruno Lévy: Obtuse Triangle Suppression in Anisotropic Meshes, Computer Aided Geometric Design , 28(9), 537-548, 2011. [DOI]
	Yang Liu, Weiwei Xu, Jun Wang, Lifeng Zhu, Baining Guo, Falai Chen, Guoping Wang : General Planar Quadrilateral Mesh Design Using Conjugate Direction Field, ACM Transactions on Graphics(SIGGRAPH Asia) , 30(6), 140:1-140:10, 2011. [Errata: a term in Eqn.4 is missing in the published version, please check the corrected version.][DOI]Supplemental material, slides.
	Dong-Ming Yan, Wenping Wang, Bruno Lévy and Yang Liu: Efficient Computation of Clipped Voronoi Diagram and Applications, Computer Aided Design. This is a journal version of our GMP2010 paper. [DOI]
	Bruno Lévy and Yang Liu: Lp Centroidal Voronoi Tessellation and its Applications, ACM Transactions on Graphics (SIGGRAPH), 29(4), 119:1-119:11, 2010. [DOI][Supplemental material: data, sourcecode, videos and supplemental examples], slides
	Dong-Ming Yan, Wenping Wang, Bruno Lévy and Yang Liu: Efficient Computation of 3D Clipped Voronoi Diagram, Geometric Modeling and Processing - GMP 2010, 269-282. [DOI]
	Guodong Rong, Yang Liu, Wenping Wang, Xiaotian Yin, Xianfeng Gu and Xiaohu Guo: GPU-Assisted Computation of Centroidal Voronoi Tessellation, IEEE Transactions on Visualization & Computer Graphics, 17(3), 345-356, 2011. [DOI][video and code]
	Dong-Ming Yan, Bruno Lévy, Yang Liu, Feng Sun and Wenping Wang: Isotropic Remeshing with Fast and Exact Computation of Restricted Voronoi Diagram, Computer Graphics Forum (Symposium on Geometry Processing 2009), 28(5), 1445-1454. [errata] [DOI][videos: ]
	Yang Liu, Wenping Wang, Bruno Lévy, Feng Sun, Dong-Ming Yan, Lin Lu and Chenglei Yang: On Centroidal Voronoi Tessellation Energy Smoothness and Fast Computation, ACM Transactions on Graphics, 28(4), 1-17. [DOI] [software]
	Yang Liu and Wenping Wang: On Vertex Offsets of Polyhedral Surfaces, Advances in Architectural Geometry , 61-64, 2008.
	Wenping Wang, Yang Liu, Dong-Ming Yan, Bin Chan, Ruotian Ling and Feng Sun, Hexagonal Meshes with Planar Faces, Technical Report, Dept. of CS, HKU, 2008.
	Wenping Wang and Yang Liu: A Note on Planar Hexagonal Meshes, In I.Z. Emiris, F. Sottile and T. Theobald, editors, IMA Volume 151: Nonlinear Computational Geometry , 221-233, Springer-Verlag, 2009. [DOI][relevant talk: Slides in Workshop on Polyhedral Surfaces and Industrial Applications 2007]
	Yang Liu and Wenping Wang: A Revisit to Least Squares Orthogonal Distance Fitting of Parametric Curves and Surfaces, Geometric Modeling and Processing - GMP 2008, 384-397, Springer. [DOI]
	Wenping Wang, Johannes Wallner and Yang Liu : An Angle Criterion for Conical Mesh Vertices, Journal for Geometry and Graphics 11(2), 199-208, 2007.
	Falai Chen, Wenping Wang and Yang Liu: Computing Singular Points of Plane Rational Curves, Journal of Symbolic Computation, 43(2), 92-117, 2008. [DOI]
	Wenping Wang, Bert Jüttler, Dayue Zheng and Yang Liu: Computation of Rotation Minimizing Frame, ACM Transactions on Graphics, 27(1), Article No. 2, 2008. [DOI]
	Helmut Pottmann and Yang Liu: Discrete Surfaces in Isotropic Geometry, In R. Martin, M. Sabin and J. Winkler, editors, Mathematics of Surfaces XII, volume 4647 of LNCS, 431-363. Springer, 2007. [DOI] [Gallery and Models]
	Helmut Pottmann, Yang Liu, Johannes Wallner, Alexander Bobenko and Wenping Wang: Geometry of Multi-layer Freeform Structures for Architecture, ACM Transactions on Graphics(SIGGRAPH) 26(3), Article No. 65, 2007. [DOI]
	Kin-Shing D. Cheng, Wenping Wang, Hong Qin, Kwan-Yee K. Wong, Huaiping Yang and Yang Liu: Design and Analysis of Optimization Methods for Subdivision Surface Fitting, IEEE Transactions on Visualization and Computer Graphics, 13(5), 878-890, 2007. [DOI]
	Dong-Ming Yan, Yang Liu and Wenping Wang: Quadric Surface Extraction by Variational Shape Approximation, Geometric Modeling and Processing - GMP 2006: 4th International Conference, 73-86, 2006. [Errata][ DOI]
	Yang Liu, Helmut Pottmann, Johannes Wallner, Yong-Liang Yang and Wenping Wang: Geometric Modeling with Conical Meshes and Developable Surfaces, ACM Transactions on Graphics(SIGGRAPH), 25(3), 681-689, 2006. [DOI]
	Yang Liu, Helmut Pottmann and Wenping Wang: Constrained 3D Shape Reconstruction Using a Combination of Surface Fitting and Registration, Computer Aided Design, 38(6), 572-583, 2006. [DOI]
	Yi-King Choi, Wenping Wang, Yang Liu and Myung-Soo Kim: Continuous Collision Detection for Two Moving Elliptic Disks, IEEE Transactions on Robotics, 22(2), 213-224, 2006. [DOI]
	Wenping Wang, Helmut Pottmann and Yang Liu: Fitting B-spline Curves to Point Clouds by Curvature-Based Squared Distance Minimization, ACM Transactions on Graphics 25(2), 214-238, 2006. [DOI]
	Yang Liu, Huaiping Yang and Wenping Wang: Reconstructing B-spline Curves from Point Clouds A Tangential Flow Approach Using Least Squares Minimization, International Conference on Shape Modeling and Applications 2005, 4-12. [DOI]
	Falai Chen, David Cox and Yang Liu: The μ-basis and Implicitization of a Rational Parametric Surface, Journal of Symbolic Computation , 39(6)689-706, 2005. [DOI]
	Kin-Shing D. Cheng, Wenping Wang, Hong Qin, Kwan-Yee K. Wong, Huaiping Yang and Yang Liu: Fitting Subdivision Surfaces to Unorganized Point Data Using SDM, Proceedings. 12th Pacific Conference on Computer Graphics and Applications , 16-24, 2004. [DOI]
	Yang Liu and Falai Chen: Algebraic Conditions for Classifying the Positional Relationships between Two Conics and Their Applications, J. Comput. Sci. Tech. 19(4), 665-673, 2004. [DOI]
	Liyong Shen and Yang Liu: An Algebraic Condition for the Positional Relationship of an Ellipse and a Parabola(Hyperbola), Journal of System Simulation (In Chinese), 1208－1211, 2002.
	Yang Liu and Liyong Shen: An Algebraic Condition for Classifying the Positional Relationship of Two Planar Ellipses, Journal of Computer Aided Design and Computer Graphics (In Chinese), 555－560, 2003.