The invariance of weak convexity conditions of B-nets with respect to subdivision. - Yu Yu Feng 001; Falai Chen; Hong Ling Zhou (Comput. Aided Geom. Des., 1994)

Implicitization using moving curves and surfaces. - Thomas W. Sederberg; Falai Chen (SIGGRAPH, 1995)

Bilinear precision of rational Bézier surfaces. - Falai Chen (Comput. Aided Geom. Des., 1997)

The moving line ideal basis of planar rational curves. - David A. Cox 001; Thomas W. Sederberg; Falai Chen (Comput. Aided Geom. Des., 1998)

Bounding Interval Rational Bézier Curves with Interval Polynomial Bézier Curves. - Falai Chen; Thomas W. Sederberg; Wenping Lou (GMP, 2000)

Blending Pipe Surfaces with Piecewise Algebraic Surfaces. - Changsong Chen 003; Falai Chen; Yuyu Feng 001 (PG, 2000)

Degree reduction of interval Bézier curves. - Falai Chen; Wenping Lou (Comput. Aided Des., 2000)

Water Animation with Disturbance Model. - Qianhua Chen; Jiansong Deng; Falai Chen (Computer Graphics International, 2001)

The mu-basis of a rational ruled surface. - Falai Chen; Jianmin Zheng; Thomas W. Sederberg (Comput. Aided Geom. Des., 2001)

Blending Quadric Surfaces with Piecewise Algebraic Surfaces. - Changsong Chen 003; Falai Chen; Yuyu Feng 001 (Graph. Model., 2001)

A new implicit representation of a planar rational curve with high order singularity. - Falai Chen; Thomas W. Sederberg (Comput. Aided Geom. Des., 2002)

The µ-basis of a planar rational curve - properties and computation. - Falai Chen; Wenping Wang (Graph. Model., 2002)

Four-Point Wavelets and Their Applications. - Guofu Wei; Falai Chen (J. Comput. Sci. Technol., 2002)

G2 Blending of Corners with Piecewise Algebraic Surfaces. - Falai Chen; Xing Tang (PG, 2003)

Reparametrization of a rational ruled surface using the -basis. - Falai Chen (Comput. Aided Geom. Des., 2003)

Computing real inflection points of cubic algebraic curves. - Falai Chen; Wenping Wang (Comput. Aided Geom. Des., 2003)

Revisiting the [mu]-basis of a rational ruled surface. - Falai Chen; Wenping Wang (J. Symb. Comput., 2003)

Merging a pair of disk Bézier curves. - Wu Yang; Falai Chen (GRAPHITE, 2004)

Interval implicitization of rational curves. - Falai Chen; Lin Deng (Comput. Aided Geom. Des., 2004)

Degree reduction of disk Be'zier curves. - Falai Chen; Wu Yang (Comput. Aided Geom. Des., 2004)

Algebraic Conditions for Classifying the Positional Relationships Between Two Conics and Their Applications. - Yang Liu 014; Falai Chen (J. Comput. Sci. Technol., 2004)

Determination of free parameters in algebraic surface blending. - Chendong Xu; Falai Chen; Jiansong Deng (CAD/Graphics, 2005)

Subdivision surfaces based on point-based splines. - Wenming Zhu; Jiansong Deng; Falai Chen (CAD/Graphics, 2005)

Computing µ-bases of rational curves and surfaces using polynomial matrix factorization. - Jiansong Deng; Falai Chen; Liyong Shen (ISSAC, 2005)

The mu-basis and implicitization of a rational parametric surface. - Falai Chen; David A. Cox 001; Yang Liu 014 (J. Symb. Comput., 2005)

Fitting unorganized point clouds with active implicit B-spline curves. - Zhouwang Yang; Jiansong Deng; Falai Chen (Vis. Comput., 2005)

Approximate µ-Bases of Rational Curves and Surfaces. - Liyong Shen; Falai Chen; Bert Jüttler; Jiansong Deng (GMP, 2006)

Specification of Initial Shapes for Dynamic Implicit Curve/Surface Reconstruction. - Zhouwang Yang; Chun-Lin Wu; Jiansong Deng; Falai Chen (J. Comput. Sci. Technol., 2006)

Axial moving lines and singularities of rational planar curves. - Ning Song; Falai Chen; Ron Goldman 002 (Comput. Aided Geom. Des., 2007)

Surface modeling with polynomial splines over hierarchical T-meshes. - Xin Li 021; Jiansong Deng; Falai Chen (Vis. Comput., 2007)

Implicitization and parametrization of quadratic surfaces with one simple base point. - Xuhui Wang; Falai Chen; Jiansong Deng (ISSAC, 2008)

Polynomial splines over hierarchical T-meshes. - Jiansong Deng; Falai Chen; Xin Li 021; Changqi Hu; Weihua Tong; Zhouwang Yang; Yuyu Feng 001 (Graph. Model., 2008)

Computing singular points of plane rational curves. - Falai Chen; Wenping Wang 001; Yang Liu 014 (J. Symb. Comput., 2008)

Diffusion Equations over Arbitrary Triangulated Surfaces for Filtering and Texture Applications. - Chunlin Wu; Jiansong Deng; Falai Chen (IEEE Trans. Vis. Comput. Graph., 2008)

Submesh splines over hierarchical T-meshes. - Liangbing Jin; Jiansong Deng; Falai Chen (CAD/Graphics, 2009)

Exact and approximate representations of trimmed surfaces with NURBS and Bézier surfaces. - Xin Li 021; Falai Chen (CAD/Graphics, 2009)

C1 bicubic splines over general T-meshes. - Xin Li 021; Jiansong Deng; Falai Chen (CAD/Graphics, 2009)

Geometric Modeling and Processing. - Falai Chen; Bert Jüttler (Comput. Aided Geom. Des., 2009)

Computing self-intersection curves of rational ruled surfaces. - Xiaohong Jia 001; Falai Chen; Jiansong Deng (Comput. Aided Geom. Des., 2009)

Circular spline fitting using an evolution process. - Xinghua Song; Martin Aigner 002; Falai Chen; Bert Jüttler (J. Comput. Appl. Math., 2009)

Scale-Space Analysis of Discrete Filtering over Arbitrary Triangulated Surfaces. - Chunlin Wu; Jiansong Deng; Falai Chen; Xue-Cheng Tai (SIAM J. Imaging Sci., 2009)

Joint-aware manipulation of deformable models. - Weiwei Xu; Jun Wang; KangKang Yin; Kun Zhou 001; Michiel van de Panne; Falai Chen; Baining Guo (ACM Trans. Graph., 2009)

Computing the singularities of rational space curves. - Xiaoran Shi; Falai Chen (ISSAC, 2010)

Adaptive surface reconstruction based on implicit PHT-splines. - Jun Wang; Zhouwang Yang; Liangbing Jin; Jiansong Deng; Falai Chen (Symposium on Solid and Physical Modeling, 2010)

Preface - Geometric modeling and processing. - Falai Chen; Bert Jüttler (Comput. Aided Des., 2010)

Polynomial splines over general T-meshes. - Xin Li 021; Jiansong Deng; Falai Chen (Vis. Comput., 2010)

Adaptive isogeometric analysis using rational PHT-splines. - Ping Wang; Jinlan Xu; Jiansong Deng; Falai Chen (Comput. Aided Des., 2011)

On the instability in the dimension of splines spaces over T-meshes. - Xin Li 021; Falai Chen (Comput. Aided Geom. Des., 2011)

Parallel and adaptive surface reconstruction based on implicit PHT-splines. - Jun Wang; Zhouwang Yang; Liangbing Jin; Jiansong Deng; Falai Chen (Comput. Aided Geom. Des., 2011)

Adaptive finite element methods for elliptic equations over hierarchical T-meshes. - Li Tian; Falai Chen; Qiang Du 001 (J. Comput. Appl. Math., 2011)

General planar quadrilateral mesh design using conjugate direction field. - Yang Liu 014; Weiwei Xu; Jun Wang; Lifeng Zhu; Baining Guo; Falai Chen; Guoping Wang (ACM Trans. Graph., 2011)

Implicitization, parameterization and singularity computation of Steiner surfaces using moving surfaces. - Xuhui Wang; Falai Chen (J. Symb. Comput., 2012)

A variational model for normal computation of point clouds. - Jun Wang; Zhouwang Yang; Falai Chen (Vis. Comput., 2012)

Modified T-splines. - Hongmei Kang; Falai Chen; Jiansong Deng (Comput. Aided Geom. Des., 2013)

Dimension of spline spaces with highest order smoothness over hierarchical T-meshes. - Meng Wu; Jiansong Deng; Falai Chen (Comput. Aided Geom. Des., 2013)

Dimensions of biquadratic spline spaces over T-meshes. - Jiansong Deng; Falai Chen; Liangbing Jin (J. Comput. Appl. Math., 2013)

Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids. - Xiaofeng Yang 003; M. Gregory Forest; Huiyuan Li; Chun Liu 009; Jie Shen 001; Qi Wang 021; Falai Chen (J. Comput. Phys., 2013)

Cost-effective printing of 3D objects with skin-frame structures. - Weiming Wang 003; Tuanfeng Y. Wang; Zhouwang Yang; Ligang Liu 001; Xin Tong 001; Weihua Tong; Jiansong Deng; Falai Chen; Xiuping Liu (ACM Trans. Graph., 2013)

Hierarchical B-splines on regular triangular partitions. - Hongmei Kang; Falai Chen; Jiansong Deng (Graph. Model., 2014)

Spline spaces with mixed orders of continuity over T-meshes. - Meng Wu; Weihong Zhang; Zhouwang Yang; Jiansong Deng; Falai Chen (J. Comput. Appl. Math., 2014)

Decoupling noise and features via weighted ℓ1-analysis compressed sensing. - Ruimin Wang; Zhouwang Yang; Ligang Liu 001; Jiansong Deng; Falai Chen (ACM Trans. Graph., 2014)

Hierarchical Box Splines. - Hongmei Kang; Falai Chen; Jiansong Deng (CAD/Graphics, 2015)

Knot calculation for spline fitting via sparse optimization. - Hongmei Kang; Falai Chen; Yusheng Li; Jiansong Deng; Zhouwang Yang (Comput. Aided Des., 2015)

Geometric modeling and processing 2015. - Mario Botsch; Falai Chen; Andrew Gillette (Comput. Aided Geom. Des., 2015)

Special Issue of selected papers from the 2014 Dagstuhl seminar on Geometric Modeling. - Falai Chen; Tor Dokken; Thomas A. Grandine; Stefanie Hahmann (Graph. Model., 2015)

A new basis for PHT-splines. - Hongmei Kang; Jinlan Xu; Falai Chen; Jiansong Deng (Graph. Model., 2015)

Survey on sparsity in geometric modeling and processing. - Linlin Xu; Ruimin Wang; Juyong Zhang; Zhouwang Yang; Jiansong Deng; Falai Chen; Ligang Liu 001 (Graph. Model., 2015)

Compact implicit surface reconstruction via low-rank tensor approximation. - Maodong Pan; Weihua Tong; Falai Chen (Comput. Aided Des., 2016)

Surface approximation via sparse representation and parameterization optimization. - Linlin Xu; Ruimin Wang; Zhouwang Yang; Jiansong Deng; Falai Chen; Ligang Liu 001 (Comput. Aided Des., 2016)

Sparse RBF surface representations. - Manyi Li; Falai Chen; Wenping Wang 001; Changhe Tu (Comput. Aided Geom. Des., 2016)

Planar Shape Interpolation Based On Teichmüller Mapping. - Xianshun Nian; Falai Chen (Comput. Graph. Forum, 2016)

Truncated Hierarchical Loop Subdivision Surfaces and application in isogeometric analysis. - Hongmei Kang; Xin Li 021; Falai Chen; Jiansong Deng (Comput. Math. Appl., 2016)

Implicitizing rational surfaces using moving quadrics constructed from moving planes. - Yisheng Lai; Falai Chen (J. Symb. Comput., 2016)

Construction of Manifolds via Compatible Sparse Representations. - Ruimin Wang; Ligang Liu 001; Zhouwang Yang; Kang Wang; Wen Shan; Jiansong Deng; Falai Chen (ACM Trans. Graph., 2016)

Phase-field guided surface reconstruction based on implicit hierarchical B-splines. - Maodong Pan; Weihua Tong; Falai Chen (Comput. Aided Geom. Des., 2017)

A Low-rank Spline Approximation of Planar Domains. - Maodong Pan; Falai Chen (CoRR, 2017)

Joint head pose and facial landmark regression from depth images. - Jie Wang; Juyong Zhang; Changwei Luo; Falai Chen (Comput. Vis. Media, 2017)

Geometric Modelling, Interoperability and New Challenges (Dagstuhl Seminar 17221). - Falai Chen; Tor Dokken; Thomas A. Grandine; Géraldine Morin (Dagstuhl Reports, 2017)

An improved algorithm for constructing moving quadrics from moving planes. - Yisheng Lai; Falai Chen (J. Syst. Sci. Complex., 2017)

Discontinuous Galerkin Based Isogeometric Analysis for Geometric Flows and Applications in Geometric Modeling. - Futao Zhang; Yan Xu 008; Falai Chen (J. Sci. Comput., 2017)

Low-rank parameterization of planar domains for isogeometric analysis. - Maodong Pan; Falai Chen; Weihua Tong (Comput. Aided Geom. Des., 2018)

Computing IGA-suitable planar parameterizations by PolySquare-enhanced domain partition. - Shiwei Xiao; Hongmei Kang; Xiao-Ming Fu 001; Falai Chen (Comput. Aided Geom. Des., 2018)

Computing medial axis transformations of 2D point clouds. - Yanjun Zhong; Falai Chen (Graph. Model., 2018)

Survey on the theory and applications of μ-bases for rational curves and surfaces. - Xiaohong Jia 001; Xiaoran Shi; Falai Chen (J. Comput. Appl. Math., 2018)

Content-aware image resizing using quasi-conformal mapping. - Jinlan Xu; Hongmei Kang; Falai Chen (Vis. Comput., 2018)

Low-rank Parameterization of Volumetric Domains for Isogeometric Analysis. - Maodong Pan; Falai Chen (Comput. Aided Des., 2019)

Path Planning of a Type of Porous Structures for Additive Manufacturing. - Xiaoya Zhai; Falai Chen (Comput. Aided Des., 2019)

Boundary correspondence of planar domains for isogeometric analysis based on optimal mass transport. - Ye Zheng; Maodong Pan; Falai Chen (Comput. Aided Des., 2019)

Implicitizing rational surfaces without base points by moving planes and moving quadrics. - Yisheng Lai; Falai Chen; Xiaoran Shi (Comput. Aided Geom. Des., 2019)

Volumetric Spline Parameterization for Isogeometric Analysis. - Maodong Pan; Falai Chen; Weihua Tong (CoRR, 2019)

Non-Uniform Subdivision Surfaces with Sharp Features. - Yufeng Tian; Xin Li 021; Falai Chen (Comput. Graph. Forum, 2020)

Spectral Mesh Segmentation via ℓ0 Gradient Minimization. - Weihua Tong; Xiankang Yang; Maodong Pan; Falai Chen (IEEE Trans. Vis. Comput. Graph., 2020)

Volumetric Boundary Correspondence for Isogeometric Analysis Based on Unbalanced Optimal Transport. - Ye Zheng; Falai Chen (Comput. Aided Des., 2021)

Geometric Modeling: Interoperability and New Challenges (Dagstuhl Seminar 21471). - Falai Chen; Tor Dokken; Géraldine Morin (Dagstuhl Reports, 2021)

Computing μ-Bases of Univariate Polynomial Matrices Using Polynomial Matrix Factorization. - Bingru Huang; Falai Chen (J. Syst. Sci. Complex., 2021)

Robust Algebraic Curve Intersections with Tolerance Control. - Wenbing Shao; Falai Chen; Xuefeng Liu (Comput. Aided Des., 2022)

A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics. - Yisheng Lai; Falai Chen; Xiaoran Shi; Yu Gao (Comput. Aided Geom. Des., 2022)

Constructing planar domain parameterization with HB-splines via quasi-conformal mapping. - Maodong Pan; Falai Chen (Comput. Aided Geom. Des., 2022)

Adaptive Isogeometric Topology Optimization of Shell Structures based on PHT-splines. - Zepeng Wen; Qiong Pan; Xiaoya Zhai; Hongmei Kang; Falai Chen (CoRR, 2023)

Singularity Computation for Rational Parametric Surfaces Using Moving Planes. - Xiaohong Jia 001; Falai Chen; Shanshan Yao (ACM Trans. Graph., 2023)

Topology Optimization of Self-supporting Porous Structures Based on Triply Periodic Minimal Surfaces. - Nan Zheng; Xiaoya Zhai; Falai Chen (Comput. Aided Des., 2023)

Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants. - Kai Li; Xiaohong Jia 001; Falai Chen (Comput. Aided Geom. Des., 2023)

Topological classification of the intersection curves of two quadrics using a set of discriminants. - Wenbing Shao; Falai Chen (Comput. Aided Geom. Des., 2023)

Density-Based Isogeometric Topology Optimization of Shell Structures. - Qiong Pan; Xiaoya Zhai; Falai Chen (Comput. Aided Des., 2024)

Isogeometric Topology Optimization of Multi-patch Shell Structures. - Qiong Pan; Xiaoya Zhai; Hongmei Kang; Xiaoxiao Du 002; Falai Chen (Comput. Aided Des., 2024)

Topology Optimization of Self-supporting Structures for Additive Manufacturing via Implicit B-spline Representations. - Nan Zheng; Xiaoya Zhai; Jingchao Jiang; Falai Chen (Comput. Aided Des., 2024)

Fast parameterization of planar domains for isogeometric analysis via generalization of deep neural network. - Zheng Zhan 002; Wenping Wang; Falai Chen (Comput. Aided Geom. Des., 2024)

Simultaneous Boundary and Interior Parameterization of Planar Domains Via Deep Learning. - Zheng Zhan 002; Wenping Wang; Falai Chen (Comput. Aided Des., 2024)

On the stability of the dimensions of spline spaces with highest order of smoothness over T-meshes. - Bingru Huang; Falai Chen (J. Comput. Appl. Math., 2024)

iShapEditing: Intelligent Shape Editing with Diffusion Models. - Jing Li 113; Juyong Zhang; Falai Chen (Comput. Graph. Forum, 2024)

Topologically Correct Intersection Curves of Two Trimmed Quadrics with Tolerance Control. - Wenbing Shao; Falai Chen (J. Syst. Sci. Complex., 2024)

DTGBrepGen: A Novel B-rep Generative Model through Decoupling Topology and Geometry. - Jing Li; Yihang Fu; Falai Chen (CVPR, 2025)

Efficient worst-case topology optimization of self-supporting structures for additive manufacturing. - Nan Zheng; Xiaoya Zhai; Falai Chen (Comput. Aided Geom. Des., 2025)

Fast Determination and Computation of Self-intersections for NURBS Surfaces. - Kai Li; Xiaohong Jia 001; Falai Chen (ACM Trans. Graph., 2025)

Dimension of Bi-degree (d,d) Spline Spaces with the Highest Order of Smoothness over Hierarchical T-Meshes. - Bingru Huang; Falai Chen (CoRR, 2025)

A Preliminary Study on the Dimensional Stability Classification of Polynomial Spline Spaces over T-meshes. - Bingru Huang; Falai Chen (CoRR, 2025)

Polynomial preserving recovery for PHT-splines. - Ying Cai; Falai Chen; Hailong Guo; Hongmei Kang; Zhimin Zhang 002 (CoRR, 2025)

Basis construction for polynomial spline spaces over arbitrary T-meshes. - Shicong Zhong; Falai Chen; Bingru Huang (CoRR, 2025)