Interested Research Fields

Computer Aided Geometric Design

Computer Graphics

Applied Approximation Theory

 

Editorial board committee members

 

Program Committee Members

1.  The 2rd conference of Geometric Modeling and Processing, 2002, Japan  

2. The 6th Asian Symposium on Computer Mathematics, 2003, Beijing      

3.The 11th conference of Pacific Graphics, 2003, Canada

4.The 3rd conference of Geometric Modeling and Processing, 2004, Beijing

5. The 12th conference of Pacific Graphics, 2004, Korea 

6. The 13th conference of Pacific Graphics, 2005, Macao.

7. The 4th conference of Geometric Modelling and Processing, 2006, USA.

8. The 14th conference of Pacific Graphics, 2006, Chinese Taipei.

9. The 7th Asian Symposium on Computer Mathematics, 2005, Korea

10. The Syposium of Solid and Physical Modeling, 2006, UK.

11. The 15th conference of Pacific Graphics, 2007, USA.

12. The Syposium of Solid and Physical Modeling, 2007, China

13. The 8th Asian Symposium on Computer Mathematics, 2007, Singapore.

14. The 5th conference of Geometric Modelling and Processing, 2008, China, Program co-chair.

15. The 17rd Pacific Conference on Computer Graphics and Applications, 2009, Korea

16.  The 6th conference of Geometric Modelling and Processing, 2010, Spain

17. The Syposium of Solid and Physical Modeling, 2010, Israil

18. The conference of Geometric and Phyiscal Modeling (GD/SPM11), 2011, USA

19.  The 7th conference of Geometric Modelling and Processing, 2012, China,conference co-chair

20.  The 8th conference of Geometric Modelling and Processing, 2014, Singapore

21. The 23rd Pacific Conference on Computer Graphics and Applications, 2015, China

22.  The 9th conference of Geometric Modelling and Processing, 2015, Switzerland, PC-chairs.

23.  The 10th conference of Geometric Modelling and Processing, 2016, USA

 

Invited talks

  1. The 7th china conference on computational mathematics, China, 2003

  2. International conference on numerical methods in imaging science and information processing, Singapore, 2003

  3. International conference on computational methods for algebraic spline surfaces, Norway,2005

  4. Schloss Dagstuhl workshop on Geometric Modeling, Germany,2005

  5. The 14th China conference on CAD & CG, China, 2005.

  6. The third international conference on algebraic geometry and geometrical modeling, Barcelona,2006

  7. International conference on symbolic computation in education, China, 2006

  8. The 3rd china conference on geometric design and computing, China, 2007.

  9. The 3rd international conference on computational harmonic analysis, China, 2007.

  10. The 6th conference on foundations of computational mathematics, Hongkong, 2008.

  11. Schloss Dagstuhl workshop on Geometric Modeling, Germany, 2008

  12. International Conference on Mathematical Mechanization, China, 2009

  13. Sparse Representation of Multiscale Data and Images-Theory and Applications, Singapore, 2009.

  14.  Conference on Geometry-Theory and Applications, 2011, Austria

  15. Schloss Dagstuhl workshop on Geometric Modeling, Germany, 2011

  16. The second Cross-Strait Conference on Computational Mathematics, 2012, Taiwan

  17. The workshop on Imaging Sciences, 2012,Beijing.

  18. The 6th International Conference of Chinese Mathematicians, 2013, Tanwan.

  19. The workshop on Algebraic Geometry and Geometric Modeling, 2013, Canada.

  20. Schloss Dagstuhl workshop on Geometric Modeling, Germany, 2014

  21. Sympoium of Solid and Physical Modeling, Hongkong, 2014.

  22. The workshop on Computer Algebra and Geometric Modeling, Mexico, 2016.

 

 

Awards

1. G.Z. Chang, Y.Y. Feng, J.W. Zhou and Falai Chen. Study on Beizer surfaces. Second prize of Science and Technology award of Chinese Academy of Science, 1992.

2. Outstanding Young Teacher¡¯s Award of Educational Department of China, 2001.

3. The Outstanding Young Investigator Award of NSF of China, 2002.

4. The achievement award of China Graphics, 2008.

5. Feng Kang Scientific Computing Award, 2009.

6. Second Prize of Natural Science Award of Chinese Universities, 2013.

¡¡

Grants

1¡¢Study of intersection of algebraic curves and surfaces, Chinese Academy of Science, 1996-1998, 25,000 (in RMB, the same as below).

2¡¢Applications of algebraic curves and surfaces in CAGD, Educational Department of China, 1997-1999, 15,000.

3¡¢Modeling with implicit surfaces, National Science Foundation of China, 1997-1999, 80,000.

4¡¢Modeling with subdivision surfaces, Chinese Academy of Science, 1999, 12,000.

5¡¢Interval analysis and its applications in Geometric Modeling and Computer Graphics, National Science Foundation of China, 2000-2002, 80,000.

6¡¢Moving planes and its applications in Mathematical Mechanization, Science Foundation of Educational Department for Young Teachers, 2000-2002, 70,000.

7¡¢ 973 state key project: Mathematical Mechanization and its plantform, 2001-2003, 150,000.

8¡¢Outstanding Youth Grant of Educational Department of China, 2001-2005, 300,000.

9¡¢ Doctoral Program of Educational Department of China, 2002-2004, 50,000.

10. The Outstanding Young Investigator Award of NSF of China, 2003¡ª2006, 1000,000.

11. 973 state key project: Mathematical Mechanization and its application in information, 2004-2008, 1800,000.

12. A project from Chiese Academy of Sciences, 1000,000.

13. Doctoral Program of Educational Department of China, 2006-2008, 60,000.

14. "111" Project supported by Ministry of Education and Foreign Bureau, 2007--2011, 4500,000.

15. Splines over T-meshes and its applications, National Science Foundation of China, 2009--2011, 400,000. .

16. 973 state key project: Mathematical Mechanization and its application in digital design, 2009-2014, 6,000,000.

17. Refinable splines and its applications in geometric modeling and scientific computing, National Science Foundation of China, 2011-2014,1,400,000.

18. "111" Project supported by Ministry of Education and Foreign Bureau, 2012--2016, 4500,000.

19. Sparse optimization in geometric modeling, 2016-2019, 600,000.

 

¡¡

Selected Publications

  1. , Compact implicit surface reconstruction via low-rank tensor approximation. Computer-Aided Design 78158-167 ().

  2. , Implicitizing rational surfaces using moving quadrics constructed from moving planes. J. Symb. Comput. 77: 127-161 ().

  3. , Construction of Manifolds via Compatible Sparse Representations. ACM Trans. Graph.35(2): 14 ().

  4. Hongmei Kang, Falai Chen, Yusheng Li, Jiansong Deng, Zhouwang Yang: Knot calculation for spline fitting via sparse optimization. Computer-Aided Design 58: 179-188 (2015).

  5. , A new basis for PHT-splines. Graphical Models 82149-159 ()

  6. Ruimin Wang, Zhouwang Yang, Ligang Liu, Jiansong Deng, Falai Chen: Decoupling noise and features via weighted ?1-analysis compressed sensing. ACM Trans. Graph. 33(2): 18:1-18:12 (2014).

  7. , Hierarchical B-splines on regular triangular partitions. Graphical Models 76(5): 289-300 ().

  8. Weiming Wang, Tuanfeng Y. Wang, Zhouwang Yang, Ligang Liu, Xin Tong, Weihua Tong, Jiansong Deng, Falai Chen, Xiuping Liu, Cost-effective printing of 3D objects with skin-frame structures. ACM Trans. Graph. 32(6): 177:1-177:10 (2013).

  9. , , Dimension of spline spaces with highest order smoothness over hierarchical T-meshes. Computer Aided Geometric Design 30(1): 20-34 ()

  10. Hongmei Kang, Falai Chen, Jiansong Deng: Modified T-splines. Computer Aided Geometric Design 30(9): 827-843 (2013).

  11. , Dimensions of biquadratic spline spaces over T-meshes. J. Computational Applied Mathematics 23868-94 ()

  12. , Implicitization, parameterization and singularity computation of Steiner surfaces using moving surfaces. J. Symb. Comput. 47(6):733-750 ()

  13. ,A variational model for normal computation of point clouds. The Visual Computer 28(2): 163-174 ()

  14. Yang Liu, Weiwei Xu, Jun Wang, Lifeng Zhu, Baining Guo, Falai Chen, Guoping Wang: General planar quadrilateral mesh design using conjugate direction field. ACM Trans. Graph., vol.30(6): 140, 2011.

  15. 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.

  16. 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.

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

  18. 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.

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

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

  21. Weiwei Xu, Jun Wang, KangKang Yin, Kun Zhou, Michiel van de Panne, Falai Chen, Baining Guo: Joint-aware manipulation of deformable models. ACM Trans. Graph.  Vol. 28(3), 2009.

  22. Chunlin Wu, Jiansong Deng, Falai Chen and Xuecheng Tai, Scale-space analysis of discrete filtering over arbitrary triangulated surfaces, SIAM Journal on Imaging Sciences, vol.2(2): 670-709, 2009.

  23. Xiaohong Jia, Falai Chen and Jiansong Deng, Computing self-intersection curves of rational ruled surfaces, Computer Aided Geometric Design, Vol.26, No.3, 287 -- 299,2009.

  24. 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.

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

  26. Chunlin Wu, Jiansong Deng and Falai Chen, Diffusion equations over arbitrary triangulated surfaces for filtering and texture applications, IEEE Transactions on Visualization and Computer Graphics, Vol.14, No.3, 666--679, 2008.5/6.

  27. 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.

  28. 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.

  29. 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.

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

  31. 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.

  32. 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.

  33. 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.

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

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

  36. Jiansong Deng, Falai Chen and Liyong Shen, Computing mu-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.

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

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

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

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

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

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

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

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

  45. 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.

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

  47. 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.

  48. Falai Chen and Wenping Lou, Degree reduction of interval Bezier curves, Computer Aided Design, vol.32(2000),571-582.

  49. David Cox, Thomas W. Sederberg and Falai Chen, the mu-basis of a planar rational curve, Computer Aided Geometric Design, vol.15(1998),803-827.

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

  51. 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.

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

  53. Thowas W. Sederberg and Falai Chen, Implicitization using moving curves and surfaces, Proc. of SIGGRAPH, 1995,301-308.

  54. 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.

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

  56.  

Edited Books

1. Geometric computation. Papers from the seminar (SGC 2002) held at the University of Science and Technology, Hefei, April 24--26, 2002. Edited by Falai Chen and Dongming Wang. Lecture Notes Series on Computing, 11. World Scientific Publishing Co., Inc., River Edge, NJ, 2004. viii+413 pp.

2. Advances in Geometric Modeling and Processing: 5th International Conference,GMP 2008, Hangzhou, China, April 23-25, 2008. Edited by Falai Chen and Bert Juettler, Lecture notes in Computer Science, Springer.