Publications

Before 2012

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• Min Meng, Lubin Fan, Ligang Liu. A Comparative Evaluation of Foreground/Background Sketch-based Mesh Segmentation Algorithms. Computers &Graphics (Proc. Shape Modeling International), 35(3), 650-660, 2011.

  　

• Xin Li, Falai Chen. On the instability in the dimension of splines spaces over T-meshes. Computer Aided Geometric Design  vol.28(7): 420-426, 2011.

  　

• Jun Wang, Zhouwang Yang, Liangbing Jin, Jiansong Deng, Falai Chen. Parallel and adaptive surface reconstruction based on implicit PHT-splines. Computer Aided Geometric Design  vol.28(8): 463-474, 2011.

  　

• Ping Wang, Jinlan Xu, Jiansong Deng, Falai Chen. Adaptive isogeometric analysis using rational PHT-splines. Computer-Aided Design. vol.43(11): 1438-1448, 2011.

  　

• Li Tian, Falai Chen, Qiang Du. Adaptive finite element methods for elliptic equations over hierarchical T-meshes. J. Computational Applied Mathematics vol. 236(5): 878-891, 2011.

  　

• Meng Wu, Jiansong Deng, Falai Chen. The Dimension of Spline Spaces with Highest Order Smoothness over Hierarchical T-meshes. CoRR abs/1112.1144 (2011).

  　

• Min Meng, Lubin Fan, Ligang Liu. iCutter: A Direct Cut Out Tool for 3D Shapes. Journal of Computer Animation and Virtual World,  22(4), 335-342, 2011.

  　

• Yin Xu, Renjie Chen, Craig Gotsman, Ligang Liu. Embedding a Triangular Graph within a Given Boundary. Computer Aided Geometric Design, 28, 349-356, 2011.

  　

• Yin Xu, Ligang Liu, Craig Gotsman, Steven J. Gortler. Capacity-Constrained Delaunay Triangulation for Point Distributions. Computers &Graphics (Proc. Shape Modeling International), 35(3), 510-516, 2011.

  　

• Zhongping Ji, Ligang Liu, Bin Wang, Wenping Wang. Feature Enhancement by Vertex Flow for 3D Shapes. Computer-Aided Design and Applications, 8(5), 649-664, 2011.

  　

• Licai Guo, Feng Wang, Zhangjin Huang and Naijie Gu. A Fast and Robust Seed Flooding Algorithm on GPU for Voronoi Diagram Generation. ICECE 2011.

  　

• Zhangjin Huang, Feng Wang and Guoping Wang. Extended Doo-Sabin Surfaces. Journal of Information & Computational Science, 8(12): 2239-2247, 2011.

  　

• Xiaoran Shi, Falai Chen. Computing the singularities of rational space curves. ISSAC 2010: 171-178

  　

• Xin Li, Jiansong Deng, Falai Chen. Polynomial splines over general T-meshes. The Visual Computer. vol. 26(4): 277-286, 2010.

  　

• Jun Wang, Zhouwang Yang, Liangbing Jin, Jiansong Deng, Falai Chen. Adaptive surface reconstruction based on implicit PHT-splines. Symposium on Solid and Physical Modeling 2010: 101-110.

  　

• Youhua Fu, Luxi Yang, Wei-Ping Zhu, Zhouwang Yang. A Convex Optimization Design of Relay Precoder for Two-Hop Mimo Relay Networks. IEEE International Conference on Communications (ICC2010): 1-5, Cape Town, 2010.

  　

• Lei Zhang, Ligang Liu, Craig Gotsman, Hua Huang. Mesh reconstruction by meshless denoising and parameterization. Computers&Graphics (Proc. SMI), 34(3), 198-208, 2010.

  　

• Renjie Chen, Yin Xu, Craig Gotsman, Ligang Liu. A Spectral Characterization of the Delaunay Triangulation. Computer Aided Geometric Design, 27(4), 295-300, 2010.

  　

• Yong Jin, Ligang Liu, Qingbiao Wu. Nonhomogeneous Scaling Optimization for Realtime Image Resizing. The Visual Computer (Proceedings of CGI), 26(6-8), 769-778, 2010.

  　

• Guanghua Tan, Wei Chen, Ligang Liu. Image Driven Shape Deformation using Styles. Journal of Zhejiang University (SCIENCE C), 11(1), 27-35, 2010.

  　

• Binbin Lin, Xiaofei He, Yuan Zhou, Ligang Liu, Ke Lu. Approximately harmonic projection: Theoretical analysis and an algorithm. Pattern Recognition, 43, 3307-3313, 2010.

  　

• Xin Li, Jiansong Deng, Falai Chen. Polynomial splines over general T-meshes. The Visual Computer , 277-286, 2010.

  　

• Ligang Liu, Yong Jin, Qingbiao Wu. Realtime aesthetic image retargeting. Proc. Eurographics Workshop on Computational Aesthetic in Graphics, Visualization, and Imaging, pp.1-8, 2010.

  　

• Renjie Chen, Daniel Freedman, Zachi Karni, Craig Gotsman, Ligang Liu. Content-Aware Image Resizing by Quadratic Programming. Proc. CVPR Workshop on Non-Rigid Shape Analysis and Deformable Image Alignment (NORDIA), 1-8, 2010. (The Best Paper Award).

  　

• Renjie Chen, Ligang Liu, Guangchang Dong. Local resampling for patch-based texture synthesis in vector fields. International Journal of Computer Applications in Technology, 38(1/2/3), 124-133, 2010.

  　

• Ligang Liu, Lei Zhang, Binbin Lin, Guojin Wang. Fast Approach for Computing Roots of Polynomials using Cubic Clipping. Computer Aided Geometric Design, 26(5), 547-559, 2009.

  　

• Xiaohong Jia, Falai Chen, Jiansong Deng. Computing self-intersection curves of rational ruled surfaces. Computer Aided Geometric Design 26(3): 287-299 (2009).

  　

• Falai Chen, Bert Jüttler. Geometric Modeling and Processing. Computer Aided Geometric Design 26(4): 367 (2009).

  　

• Xinghua Song, Martin Aigner, Falai Chen, Bert Jüttler. Circular spline fitting using an evolution process. J. Computational Applied Mathematics 231(1): 423-433 (2009).

  　

• Xin Li, Jiansong Deng, Falai Chen. C1 bicubic splines over general T-meshes. CAD/Graphics 2009: 92-95.

  　

• Liangbing Jin, Jiansong Deng, Falai Chen. Submesh splines over hierarchical T-meshes. CAD/Graphics 2009: 204-209.

  　

• Xin Li, Falai Chen. Exact and approximate representations of trimmed surfaces with NURBS and Bézier surfaces. CAD/Graphics 2009: 286-291.

  　

• Tae-wan Kim, Yoo-chul Kim, Jung-chun Suh, Sanyuan Zhang, Zhouwang Yang. Internal energy minimization in biarc interpolation. International Journal of Advanced Manufacturing Technology, 44(11): 1165-1174, 2009.

  　

• Weihua Tong, Taewan Kim. Local and singularity-free G^1 triangular spline surfaces using a minimum degree scheme. Computing, 86: 235-255, 2009.

  　

• Jiansong Deng, Falai Chen, Xin Li, Changqi Hu, Weihua Tong, Zhouwang Yang and Yuyu Feng. Polynomial splines over hierarchical T-meshes. Graphical Models, Vol.74, No.4, 74-86, 2008.

  　

• Xuhui Wang, Falai Chen and Jiansong Deng. Implicitization and parametrization of quadratic surfaces with one simple base point. ISSAC’2008, 31-38.

  　

• Xuchuan Fan, Jiansong Deng and Falai Chen. Zeros of univariate interval polynomials. Journal of Computational and Applied Mathematics, Vol.216, No.2, 563-573, 2008.7.

  　

• Falai Chen, Wenping Wang and Yang Liu. Computing singular points of plane rational curves. Journal of Symbolic Computation, Vol.43, No.2, 2008, 92-117.

  　

• Zhouwang Yang, Yeong-hwa Seo, Tae-wan Kim. Reconstructing a mesh from a point cloud by using a moving parabolic approximation. Advances in Geometric Modeling and Processing, (LNCS 4975): 370-383, 2008.

  　

• Zhangjin Huang, Jiansong Deng, Guoping Wang. A bound on the approximation of a Catmull-Clark subdivision surface by its limit mesh. Computer Aided Geometric Design, Vol.25, No.7, 457-469, 2008.

  　

• Xuchuan Fan, Jiansong Deng, Falai Chen. Zeros of univariate interval polynomials. Journal of Computational and Applied Mathematics, Vol.216, No.2, 563-573, 2008.7.

  　

• Yisong Chen, Horace Ip, Zhangjin Huang and Guoping Wang. Full Camera Calibration from a Single View of Planar Scene. In Proceedings of the 4th International Symposium on Visual Computing (ISVC 2008), LNCS 5358, 815-824, 2008.

  　

• Zhangjin Huang, Jiansong Deng and Guoping Wang. A bound on the approximation of a Catmull-Clark subdivision surface by its limit mesh. Computer Aided Geometric Design, 25(7): 457-469, 2008.

  　

• Zhangjin Huang and Guoping Wang. Bounding the Distance between a Loop Subdivision Surface and Its Limit Mesh. In Proceedings of Geometric Modeling and Processing 2008 (GMP 2008), LNCS 4975, 33-46, 2008.

  　

• Xin Li, Jiansong Deng, Falai Chen. Surface modeling with polynomial splines over hierarchical T-meshes. The Visual Computer, 1027-1033, 2007.

  　

• Liyong Shen, Falai Chen and Jiansong Deng. Implicitization and parametrization of quadratic and cubic surfaces by μ-bases. Computing, Vol.79, No.2-4, 131-142, 2007.4.

  　

• Ning Song, Falai Chen, Ron Goldman. Axial moving lines and singularities of rational planar curves. Computer Aided Geometric Design 24(4): 200-209 (2007).

  　

• Xin Li, Jiansong Deng, Falai Chen. Surface modeling with polynomial splines over hierarchical T-meshes. The Visual Computer 23(12): 1027-1033 (2007).

  　

• Chunlin Wu, Jiansong Deng, Falai Chen, Fast data extrapolating. Journal of Computational and Applied Mathematics, Vol.206, No.1, 146-157, 2007.9.

  　

• Ying Li, Zhouwang Yang, Jiansong Deng. Spherical Parameterization of Genus-Zero Meshes Using the Lagrange-Newton Method. CAD/Graphics 2007: 32.

  　

• Jianwei Hu, Ligang Liu, Guozhao Wang. Dual Laplacian Morphing for Triangular Meshes. Computer Animation and Virtual Worlds (Proc. Computer Animation and Social Agents (CASA)), 18, 271-277, 2007.

  　

• Zhangjin Huang and Guoping Wang. Improved error estimate for extraordinary Catmull-Clark subdivision surface patches. The Visual Computer, 23(12): 1005-1014, 2007.

  　

• Kun Yang, Qicheng Li, Zhangjin Huang, Jia Wang and Guoping Wang. An Efficient Approach to Real-Time Sky Simulation. IEEE International Conference on Computer-Aided Design and Computer Graphics (CAD/Graphics 2007), 156-160, 2007.

  　

• Wenbing Ge, Zhangjin Huang and Guoping Wang. Interpolating Solids Orientations with a C2-continuous B-spline Quaternion Curve. International Conference of E-Learning and Games (Edutainment 2007), LNCS 4469, 606-615, 2007.

  　

• Zhangjin Huang and Guoping Wang. Distance Between a Catmull-Clark Subdivision Surface and Its Limit Mesh. ACM Solid and Physical Modeling Symposium (ACM SPM 2007), 233-240, 2007.

  　

• Jiansong Deng, Falai Chen and Yuyu Feng. Dimensions of spline spaces over T-meshes. Journal of Computational and Applied Mathematics, Vol.194, No.2, 267-283, 2006.

  　

• Zhouwang Yang, Chun-Lin Wu, Jiansong Deng, Falai Chen. Specification of Initial Shapes for Dynamic Implicit Curve/Surface Reconstruction. J. Comput. Sci. Technol. 21(2): 249-254 (2006).

  　

• Liyong Shen, Falai Chen, Bert Jüttler, Jiansong Deng. Approximate μ-Bases of Rational Curves and Surfaces. GMP 2006: 175-188.

  　

• Xin Li, Jiansong Deng, Falai Chen. Dimensions of Spline Spaces Over 3D Hierarchical T-Meshes, Journal of Information and Computational Science, Vol.3, No.3, 487-501, 2006.

  　

• Zhangjin Huang, Jiansong Deng, Yuyu Feng, and Falai Chen. New Proof of Dimension Formula of Spline Spaces over T-meshes via Smoothing Cofactors, Journal of Computational Mathematics, Vol.24, No.4, 501-514, 2006.

  　

• Ghulam Mustafa, Falai Chen, Jiansong Deng. Estimating error bounds for binary subdivision curves/surfaces, Journal of Computational and Applied Mathematics 193, 596-613, 2006.

  　

• Lei Zhang, Ligang Liu, Zhongping Ji, Guojin Wang. Manifold Parameterization. Lecture Notes in Computer Science (Proc. Computer Graphics International), 4035, 160-171, 2006.

  　

• Zhangjin Huang, Jiansong Deng and Xin Li. Dimensions of spline space over general T-meshes. Journal of University of Science and Technology of China, 36(6): 573-581, 2006.

  　

• Zhouwang Yang, Jiansong Deng and Falai Chen. Fitting point clouds with active implicit B-spline curves. Visual Computer (Special Issue for Pacific Graphics 2005), 21 (8-10), 831-839, 2005.

  　

• Falai Chen and Wu Yang. Interval arithmetic in solving system of polynomial equations using Wu’s method. Science in China, Series A, Vol.50, No.8, 2005, 910-921.

  　

• Chunlin Wu, Jiansong Deng, Wenming Zhu and Falai Chen. Image inpainting on implicit surfaces. Pacific Graphics 2005, Macau, 142—144.

  　

• Chen-Dong Xu, Fa-Lai Chen. Blending Canal Surfaces Based on PH Curves. J. Comput. Sci. Technol. 20(3): 389-395 (2005).

  　

• Falai Chen, David Cox and Yang Liu. The µ-basis and implicitization of rational parametric surfaces. J. of Symbolic Computation, 39(2005), 689—706.

  　

• Jiansong Deng, Falai Chen and Liyong Shen. Computing µ-bases of rational curves and surfaces using polynomial matrix factorization. Proceedings of the ISSAC’2005, Manuel Kauers ed., 2005.7, 132-139, ACM Press, USA.

  　

• Chendong Xu, Falai Chen, Jiansong Deng. Determination of free parameters in algebraic surface blending. CAD/Graphics 2005: 6.

  　

• Wenming Zhu, Jiansong Deng, Falai Chen. Subdivision surfaces based on point-based splines. CAD/Graphics 2005: 6.

  　

• Falai Chen and Lin Deng. Interval implicitization of rational curves. Computer Aided Geometric Design, 21(2004),401-415.

  　

• Falai Chen and Wu Yang. Degree reduction of disk Bezier curves. Computer Aided Geometric Design, 21(2004), 263—380.

  　

• Yang Liu, Falai Chen. Algebraic Conditions for Classifying the Positional Relationships Between Two Conics and Their Applications J. Comput. Sci. Technol. 19(5): 665-673 (2004).

  　

• Wu Yang, Falai Chen. Merging a pair of disk Bézier curves. GRAPHITE 2004: 65-70

  　

• Ghulam Mustafa, Falai Chen and Zhangjin Huang. Ternary wavelets and their applications to signal compression. International Journal of Applied Mathematics and Computer Scienc, 14(2): 233-240, 2004.

  　

• Falai Chen and Wenping Wang. Revisiting the µ-basis of a rational ruled surface. Journal of Symbolic Computation, 36(2003), 699—716.

  　

• Falai Chen and Xing Tang. $G^2$ blending of corners using piecewise algebraic surfaces. Proc. of the 11th Pacific Graphics, 93—101.

  　

• Falai Chen and Wenping Wang. The µ-basis of a planar rational curve—properties and computation. Graphical Models, 64 (2003), 268—381.

  　

• Falai Chen and Wenping Wang. Computing the real inflection points of cubic algebraic curves. Computer Aided Geometric Design, 20(2), 2003, 101—117.

  　

• Falai Chen. Reparametrization of a rational ruled surface using µ-basis. Computer Aided Geometric Design, 20(1), 2003, 11-17.

  　

• Xin Li, Falai Chen. On the instability in the dimension of splines spaces over T-meshes. Computer Aided Geometric Design, 28(7): 420-426, 2011.

  　

• T. W. Sederberg, Hongwei Lin, Xin Li. Curvature of singular Bzier curves and surfaces. Computer Aided Geometric Design, 28(4): 233-244, 2011.

  　

• Jiansong Deng, Yuyu Feng and Falai Chen. Best one-sided approximation of polynomials under $\ell_1$ norm. Journal of Applied and Computational Mathematics, 144(2002), 161—174.

  　

• Falai Chen and Thomas W. Sederberg. A new implicit representation of a planar rational curve with high order singularity. Computer Aided Geometric Design, vol.19(2002), 151—167.

  　

• Changsong Chen, Falai Chen and Yuyu Feng. Blending quadric surfaces with piecewise algebraic surfaces. Graphical Models, vol. 63(2002), 212—227.

  　

• Falai Chen, Wenping Wang. The µ-basis of a planar rational curve - properties and computation. Graphical Models 64(6): 368-381 (2002).

  　

• Changsong Chen, Falai Chen and Yuyu Feng, Guofu Wei, Falai Chen. Four-Point Wavelets and Their Applications. J. Comput. Sci. Technol. 17(4): 473-480 (2002), vol. 63(2002), 212—227.

  　

• Falai Chen, Jianmin Zheng and Thomas W. Sederberg. The mu-basis of a rational ruled surface. Computer Aided Geometric Design, vol. 18(2001), 61-72.

  　

• Chen Changsong, Falai Chen, Yu-Yu Feng. Blending Quadric Surfaces with Piecewise Algebraic Surfaces. Graphical Models 63(4): 212-227 (2001).

  　

• Qianhua Chen, Jiansong Deng, Falai Chen. Water Animation with Disturbance Model. Computer Graphics International 2001: 73-80.

  　

• Falai Chen, Thomas W. Sederberg, Wenping Lou. Bounding Interval Rational Bézier Curves with Interval Polynomial Bézier Curves. GMP 2000: 328-336.

  　

• Chen Changsong, Falai Chen, Yu-Yu Feng. Blending Pipe Surfaces with Piecewise Algebraic Surfaces. Pacific Conference on Computer Graphics and Applications 2000: 175-182.

  　

• Chen Falai, Deng Jiansong, Feng Yuyu. Algebraic Surface Blending using Wu’s Method, Computer Mathematics, Lecture Notes Series on Computing vol.8, 2000, 172-181.

  　

• J.S. Deng, Y.Y. Feng, J.Kozak. A Note on the Dimension of the Bivariate Spline Space over the Morgan-Scott Triangulation, SIAMJ. Numer. Anal., Vol.37, No.3(2000), 1021-1028.

  　

• David Cox, Thomas W. Sederberg and Falai Chen. The moving line ideal basis of planar rational curves. Computer Aided Geometric Design, vol.15(1998), 803-827.

  　

• Falai Chen. Bilinear precision of a rational Bezier surface. Computer Aided Geometric Design, vol. 14(1997), 387-391.

  　

• Guojin Wang, Thomas W. Sederberg and Falai Chen. On the convergence of polynomial approximation of rational functions. J. of Approx. Theory, vol.89 (1997), 267-288.

  　

• Falai Chen and Jernej Kozak. On computing zeros of a bivariate Bernstein polynomial. J. of Comput. Math., vol.14(1996), 237-248.

  　

• Yuyu Feng, Falai Chen and Hongling Zhou. The invariance of weak convexity conditions of B-nets with respect to subdivision. Computer Aided Geometric Design, vol.11(1994), 97-107.

  　

• Falai Chen and Jernej Kozak. The intersection of a triangular Bezier patch and a plane, J. of Comput. Math., vol.12(1994), 138-146.