Falai Chen

According to our database, Falai Chen authored at least 110 papers between 1994 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

Topologically Correct Intersection Curves of Two Trimmed Quadrics with Tolerance Control.

Wenbing Shao, Falai Chen

J. Syst. Sci. Complex., October, 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., May, 2024

Simultaneous Boundary and Interior Parameterization of Planar Domains Via Deep Learning.

Zheng Zhan, Wenping Wang, Falai Chen

Comput. Aided Des., January, 2024

Fast parameterization of planar domains for isogeometric analysis via generalization of deep neural network.

Zheng Zhan, Wenping Wang, Falai Chen

Comput. Aided Geom. 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

Isogeometric Topology Optimization of Multi-patch Shell Structures.

Qiong Pan, Xiaoya Zhai, Hongmei Kang, Xiaoxiao Du, Falai Chen

Comput. Aided Des., 2024

Density-Based Isogeometric Topology Optimization of Shell Structures.

Qiong Pan, Xiaoya Zhai, Falai Chen

Comput. Aided Des., 2024

2023

Topological classification of the intersection curves of two quadrics using a set of discriminants.

Wenbing Shao, Falai Chen

Comput. Aided Geom. Des., December, 2023

Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants.

Kai Li, Xiaohong Jia, Falai Chen

Comput. Aided Geom. Des., December, 2023

Topology Optimization of Self-supporting Porous Structures Based on Triply Periodic Minimal Surfaces.

Nan Zheng, Xiaoya Zhai, Falai Chen

Comput. Aided Des., August, 2023

Singularity Computation for Rational Parametric Surfaces Using Moving Planes.

Xiaohong Jia, Falai Chen, Shanshan Yao

ACM Trans. Graph., February, 2023

Adaptive Isogeometric Topology Optimization of Shell Structures based on PHT-splines.

Zepeng Wen, Qiong Pan, Xiaoya Zhai, Hongmei Kang, Falai Chen

CoRR, 2023

2022

Constructing planar domain parameterization with HB-splines via quasi-conformal mapping.

Maodong Pan, Falai Chen

Comput. Aided Geom. 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

Robust Algebraic Curve Intersections with Tolerance Control.

Wenbing Shao, Falai Chen, Xuefeng Liu

Comput. Aided Des., 2022

2021

Computing μ-Bases of Univariate Polynomial Matrices Using Polynomial Matrix Factorization.

Bingru Huang, Falai Chen

J. Syst. Sci. Complex., 2021

Geometric Modeling: Interoperability and New Challenges (Dagstuhl Seminar 21471).

Falai Chen, Tor Dokken, Géraldine Morin

Dagstuhl Reports, 2021

Volumetric Boundary Correspondence for Isogeometric Analysis Based on Unbalanced Optimal Transport.

Ye Zheng, Falai Chen

Comput. Aided Des., 2021

2020

Spectral Mesh Segmentation via ℓ₀ Gradient Minimization.

Weihua Tong, Xiankang Yang, Maodong Pan, Falai Chen

IEEE Trans. Vis. Comput. Graph., 2020

Non-Uniform Subdivision Surfaces with Sharp Features.

Yufeng Tian, Xin Li, Falai Chen

Comput. Graph. Forum, 2020

2019

Volumetric Spline Parameterization for Isogeometric Analysis.

Maodong Pan, Falai Chen, Weihua Tong

CoRR, 2019

Implicitizing rational surfaces without base points by moving planes and moving quadrics.

Yisheng Lai, Falai Chen, Xiaoran Shi

Comput. Aided Geom. 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

Path Planning of a Type of Porous Structures for Additive Manufacturing.

Xiaoya Zhai, Falai Chen

Comput. Aided Des., 2019

Low-rank Parameterization of Volumetric Domains for Isogeometric Analysis.

Maodong Pan, Falai Chen

Comput. Aided Des., 2019

2018

Content-aware image resizing using quasi-conformal mapping.

Jinlan Xu, Hongmei Kang, Falai Chen

Vis. Comput., 2018

Survey on the theory and applications of μ-bases for rational curves and surfaces.

Xiaohong Jia, Xiaoran Shi, Falai Chen

J. Comput. Appl. Math., 2018

Computing medial axis transformations of 2D point clouds.

Yanjun Zhong, Falai Chen

Graph. Model., 2018

Computing IGA-suitable planar parameterizations by PolySquare-enhanced domain partition.

Shiwei Xiao, Hongmei Kang, Xiao-Ming Fu, Falai Chen

Comput. Aided Geom. Des., 2018

Low-rank parameterization of planar domains for isogeometric analysis.

Maodong Pan, Falai Chen, Weihua Tong

Comput. Aided Geom. Des., 2018

2017

Discontinuous Galerkin Based Isogeometric Analysis for Geometric Flows and Applications in Geometric Modeling.

Futao Zhang, Yan Xu, Falai Chen

J. Sci. Comput., 2017

An improved algorithm for constructing moving quadrics from moving planes.

Yisheng Lai, Falai Chen

J. Syst. Sci. Complex., 2017

Geometric Modelling, Interoperability and New Challenges (Dagstuhl Seminar 17221).

Falai Chen, Tor Dokken, Thomas A. Grandine, Géraldine Morin

Dagstuhl Reports, 2017

Joint head pose and facial landmark regression from depth images.

Jie Wang, Juyong Zhang, Changwei Luo, Falai Chen

Comput. Vis. Media, 2017

A Low-rank Spline Approximation of Planar Domains.

Maodong Pan, Falai Chen

CoRR, 2017

Phase-field guided surface reconstruction based on implicit hierarchical B-splines.

Maodong Pan, Weihua Tong, Falai Chen

Comput. Aided Geom. Des., 2017

2016

Construction of Manifolds via Compatible Sparse Representations.

Ruimin Wang, Ligang Liu, Zhouwang Yang, Kang Wang, Wen Shan, Jiansong Deng, Falai Chen

ACM Trans. Graph., 2016

Implicitizing rational surfaces using moving quadrics constructed from moving planes.

Yisheng Lai, Falai Chen

J. Symb. Comput., 2016

Truncated Hierarchical Loop Subdivision Surfaces and application in isogeometric analysis.

Hongmei Kang, Xin Li, Falai Chen, Jiansong Deng

Comput. Math. Appl., 2016

Planar Shape Interpolation Based On Teichmüller Mapping.

Xianshun Nian, Falai Chen

Comput. Graph. Forum, 2016

Sparse RBF surface representations.

Manyi Li, Falai Chen, Wenping Wang, Changhe Tu

Comput. Aided Geom. Des., 2016

Surface approximation via sparse representation and parameterization optimization.

Linlin Xu, Ruimin Wang, Zhouwang Yang, Jiansong Deng, Falai Chen, Ligang Liu

Comput. Aided Des., 2016

Compact implicit surface reconstruction via low-rank tensor approximation.

Maodong Pan, Weihua Tong, Falai Chen

Comput. Aided Des., 2016

2015

Survey on sparsity in geometric modeling and processing.

Linlin Xu, Ruimin Wang, Juyong Zhang, Zhouwang Yang, Jiansong Deng, Falai Chen, Ligang Liu

Graph. Model., 2015

A new basis for PHT-splines.

Hongmei Kang, Jinlan Xu, Falai Chen, Jiansong Deng

Graph. Model., 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

Geometric modeling and processing 2015.

Mario Botsch, Falai Chen, Andrew Gillette

Comput. Aided Geom. Des., 2015

Knot calculation for spline fitting via sparse optimization.

Hongmei Kang, Falai Chen, Yusheng Li, Jiansong Deng, Zhouwang Yang

Comput. Aided Des., 2015

Hierarchical Box Splines.

Hongmei Kang, Falai Chen, Jiansong Deng

Proceedings of the 14th International Conference on Computer-Aided Design and Computer Graphics, 2015

2014

Decoupling noise and features via weighted ℓ₁-analysis compressed sensing.

Ruimin Wang, Zhouwang Yang, Ligang Liu, Jiansong Deng, Falai Chen

ACM Trans. Graph., 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

Hierarchical B-splines on regular triangular partitions.

Hongmei Kang, Falai Chen, Jiansong Deng

Graph. Model., 2014

2013

Cost-effective printing of 3D objects with skin-frame structures.

Weiming Wang, Tuanfeng Y. Wang, Zhouwang Yang, Ligang Liu, Xin Tong, Weihua Tong, Jiansong Deng, Falai Chen, Xiuping Liu

ACM Trans. Graph., 2013

Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids.

Xiaofeng Yang, M. Gregory Forest, Huiyuan Li, Chun Liu, Jie Shen, Qi Wang, Falai Chen

J. Comput. Phys., 2013

Dimensions of biquadratic spline spaces over T-meshes.

Jiansong Deng, Falai Chen, Liangbing Jin

J. Comput. Appl. Math., 2013

Dimension of spline spaces with highest order smoothness over hierarchical T-meshes.

Meng Wu, Jiansong Deng, Falai Chen

Comput. Aided Geom. Des., 2013

Modified T-splines.

Hongmei Kang, Falai Chen, Jiansong Deng

Comput. Aided Geom. Des., 2013

2012

A variational model for normal computation of point clouds.

Jun Wang, Zhouwang Yang, Falai Chen

Vis. Comput., 2012

Implicitization, parameterization and singularity computation of Steiner surfaces using moving surfaces.

Xuhui Wang, Falai Chen

J. Symb. Comput., 2012

2011

General planar quadrilateral mesh design using conjugate direction field.

Yang Liu, Weiwei Xu, Jun Wang, Lifeng Zhu, Baining Guo, Falai Chen, Guoping Wang

ACM Trans. Graph., 2011

Adaptive finite element methods for elliptic equations over hierarchical T-meshes.

Li Tian, Falai Chen, Qiang Du

J. Comput. Appl. Math., 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

On the instability in the dimension of splines spaces over T-meshes.

Xin Li, Falai Chen

Comput. Aided Geom. Des., 2011

Adaptive isogeometric analysis using rational PHT-splines.

Ping Wang, Jinlan Xu, Jiansong Deng, Falai Chen

Comput. Aided Des., 2011

2010

Polynomial splines over general T-meshes.

Xin Li, Jiansong Deng, Falai Chen

Vis. Comput., 2010

Preface - Geometric modeling and processing.

Falai Chen, Bert Jüttler

Comput. Aided Des., 2010

Adaptive surface reconstruction based on implicit PHT-splines.

Jun Wang, Zhouwang Yang, Liangbing Jin, Jiansong Deng, Falai Chen

Proceedings of the ACM Symposium on Solid and Physical Modeling, 2010

Computing the singularities of rational space curves.

Xiaoran Shi, Falai Chen

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2010

2009

Joint-aware manipulation of deformable models.

Weiwei Xu, Jun Wang, KangKang Yin, Kun Zhou, Michiel van de Panne, Falai Chen, Baining Guo

ACM Trans. Graph., 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

Circular spline fitting using an evolution process.

Xinghua Song, Martin Aigner, Falai Chen, Bert Jüttler

J. Comput. Appl. Math., 2009

Computing self-intersection curves of rational ruled surfaces.

Xiaohong Jia, Falai Chen, Jiansong Deng

Comput. Aided Geom. Des., 2009

Geometric Modeling and Processing.

Falai Chen, Bert Jüttler

Comput. Aided Geom. Des., 2009

C¹ bicubic splines over general T-meshes.

Xin Li, Jiansong Deng, Falai Chen

Proceedings of the 11th International Conference on Computer-Aided Design and Computer Graphics, 2009

Exact and approximate representations of trimmed surfaces with NURBS and Bézier surfaces.

Xin Li, Falai Chen

Proceedings of the 11th International Conference on Computer-Aided Design and Computer Graphics, 2009

Submesh splines over hierarchical T-meshes.

Liangbing Jin, Jiansong Deng, Falai Chen

Proceedings of the 11th International Conference on Computer-Aided Design and Computer Graphics, 2009

2008

Diffusion Equations over Arbitrary Triangulated Surfaces for Filtering and Texture Applications.

Chunlin Wu, Jiansong Deng, Falai Chen

IEEE Trans. Vis. Comput. Graph., 2008

Computing singular points of plane rational curves.

Falai Chen, Wenping Wang, Yang Liu

J. Symb. Comput., 2008

Polynomial splines over hierarchical T-meshes.

Jiansong Deng, Falai Chen, Xin Li, Changqi Hu, Weihua Tong, Zhouwang Yang, Yuyu Feng

Graph. Model., 2008

Implicitization and parametrization of quadratic surfaces with one simple base point.

Xuhui Wang, Falai Chen, Jiansong Deng

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2008

2007

Surface modeling with polynomial splines over hierarchical T-meshes.

Xin Li, Jiansong Deng, Falai Chen

Vis. Comput., 2007

Axial moving lines and singularities of rational planar curves.

Ning Song, Falai Chen, Ron Goldman

Comput. Aided Geom. Des., 2007

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

Approximate <i>µ</i>-Bases of Rational Curves and Surfaces.

Liyong Shen, Falai Chen, Bert Jüttler, Jiansong Deng

Proceedings of the Geometric Modeling and Processing, 2006

2005

Fitting unorganized point clouds with active implicit B-spline curves.

Zhouwang Yang, Jiansong Deng, Falai Chen

Vis. Comput., 2005

The mu-basis and implicitization of a rational parametric surface.

Falai Chen, David A. Cox, Yang Liu

J. Symb. Comput., 2005

Computing µ-bases of rational curves and surfaces using polynomial matrix factorization.

Jiansong Deng, Falai Chen, Liyong Shen

Proceedings of the Symbolic and Algebraic Computation, 2005

Subdivision surfaces based on point-based splines.

Wenming Zhu, Jiansong Deng, Falai Chen

Proceedings of the 9th International Conference on Computer-Aided Design and Computer Graphics, 2005

Determination of free parameters in algebraic surface blending.

Chendong Xu, Falai Chen, Jiansong Deng

Proceedings of the 9th International Conference on Computer-Aided Design and Computer Graphics, 2005

2004

Algebraic Conditions for Classifying the Positional Relationships Between Two Conics and Their Applications.

Yang Liu, Falai Chen

J. Comput. Sci. Technol., 2004

Degree reduction of disk Be'zier curves.

Falai Chen, Wu Yang

Comput. Aided Geom. Des., 2004

Interval implicitization of rational curves.

Falai Chen, Lin Deng

Comput. Aided Geom. Des., 2004

Merging a pair of disk Bézier curves.

Wu Yang, Falai Chen

Proceedings of the 2nd International Conference on Computer Graphics and Interactive Techniques in Australasia and Southeast Asia 2004, 2004

2003

Revisiting the [mu]-basis of a rational ruled surface.

Falai Chen, Wenping Wang

J. Symb. Comput., 2003

Computing real inflection points of cubic algebraic curves.

Falai Chen, Wenping Wang

Comput. Aided Geom. Des., 2003

Reparametrization of a rational ruled surface using the -basis.

Falai Chen

Comput. Aided Geom. Des., 2003

G2 Blending of Corners with Piecewise Algebraic Surfaces.

Falai Chen, Xing Tang

Proceedings of the 11th Pacific Conference on Computer Graphics and Applications, 2003

2002

Four-Point Wavelets and Their Applications.

Guofu Wei, Falai Chen

J. Comput. Sci. Technol., 2002

The µ-basis of a planar rational curve - properties and computation.

Falai Chen, Wenping Wang

Graph. Model., 2002

A new implicit representation of a planar rational curve with high order singularity.

Falai Chen, Thomas W. Sederberg

Comput. Aided Geom. Des., 2002

2001

Blending Quadric Surfaces with Piecewise Algebraic Surfaces.

Changsong Chen, Falai Chen, Yuyu Feng

Graph. Model., 2001

The mu-basis of a rational ruled surface.

Falai Chen, Jianmin Zheng, Thomas W. Sederberg

Comput. Aided Geom. Des., 2001

Water Animation with Disturbance Model.

Qianhua Chen, Jiansong Deng, Falai Chen

Proceedings of the Computer Graphics International 2001 (CGI'01), 2001

2000

Degree reduction of interval Bézier curves.

Falai Chen, Wenping Lou

Comput. Aided Des., 2000

Blending Pipe Surfaces with Piecewise Algebraic Surfaces.

Changsong Chen, Falai Chen, Yuyu Feng

Proceedings of the 8th Pacific Conference on Computer Graphics and Applications, 2000

Bounding Interval Rational Bézier Curves with Interval Polynomial Bézier Curves.

Falai Chen, Thomas W. Sederberg, Wenping Lou

Proceedings of the Geometric Modeling and Processing 2000, 2000

1998

The moving line ideal basis of planar rational curves.

David A. Cox, Thomas W. Sederberg, Falai Chen

Comput. Aided Geom. Des., 1998

1997

Bilinear precision of rational Bézier surfaces.

Falai Chen

Comput. Aided Geom. Des., 1997

1995

Implicitization using moving curves and surfaces.

Thomas W. Sederberg, Falai Chen

Proceedings of the 22nd Annual Conference on Computer Graphics and Interactive Techniques, 1995

1994

The invariance of weak convexity conditions of B-nets with respect to subdivision.

Yu Yu Feng, Falai Chen, Hong Ling Zhou

Comput. Aided Geom. Des., 1994