SELECTED PUBLICATIONS

  1. Construction Geometric Partial Differential Equations for Level-set Surfaces(with Chen Chong), J. Comp. Math., 28:1(2010), 105-121. ( pdf file)
  2. An Algebraic Spline Model of Molecular Surfaces for Energetic Computations(with W. Zhao and C. Bajaj), IEEE/ACM Transactions on Computational Biology and Bioinformatics, Accepted for pub, 2009. ( pdf file)
  3. Quasi-Minimal Mean-Curvature-Variation Flow and its Applications in G^2 Surface Modelling (with Y. Zheng), Journal of Computer-Aided Design & Computer Graphics, 21:7(2009), 905-911. ( pdf file) 2009
  4. Hierarchical Molecular Interfaces and Solvation Electrostatics (with C. Bajaj, A. Chen, Q. Zhang, W. Zhao)£¬ Proceedings of the 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling, San Francisco, CA, 2009, 283--288. ( pdf file)
  5. G^1 B-Spline Surface Construction By Geometric Partial Differential Equations (with Liming), page:29-38, CSIAM Geometric Design & Computing 2009.8, Xiamen, China ( pdf file)
  6. Discrete Schemes for Gaussian Curvature and Their Convergence (with Zhiqiang Xu), Computers and Mathematics with Applications, 57(2009), 1187--1195. ( pdf file)
  7. Metamorphosis Based on the Lvel-Set Methods (with Qing Pan), Chinese Journal of Computers, 32:2(2009), 213--220. ( pdf file)
  8. Construction of Geometric PDE Bezier Surface with G^1 Continuity (with Ming Li), Journal of Software (EI), 19:(2008), 161--172. ( pdf file)
  9. Mixed Finite Element Methods for Geometric Modeling Using General Fourth Order Geometric Flows, Computer Aided Geometric Design, 26:4(2009), 378--395. ( pdf file)
  10. A Fast Variational Method for the Construction of Resolution Adaptive C2-Smooth Molecular Surfaces (with C. Bajaj, Q. Zhang), Computer Methods in Applied Mechanics and Engineering, 198:21(2009): 1684-1690. ( pdf file)
  11. High-Order Level-Set Method and Its Application in Biomolecular Surface Construction (with C. Bajaj, Q. Zhang), Journal of Computer Science and Technology, 23:6(2008), 1026-1036. ( pdf file) 2008.
  12. Geometric Partial Differential Equation Methods in Computational Geometry, Science Press of China, 2008, Beijing.
  13. Construction of Geometric PDE Bezier Surface with G^1 Continuity (with Ming Li), Proceedings of National 15th CAD/CG Conference(2008, Dalian, China), 210-213. ( pdf file)
  14. G^2 Surface Modelling using Quasi-Minimal Mean-Curvature-Variation Flow (with Yanmei Zheng), Proceedings of National 15th CAD/CG Conference(2008, Dalian, China), 214-218. ( pdf file)
  15. Metamorphosis Based on the Lvel-Set Methods (with Qing Pan), Proceedings of National 15th CAD/CG Conference(2008, Dalian, China), 339-343. ( pdf file)
  16. Noise Removal Based on the Variation of Digitized Energy (with Qin Zhang and Jie Sun), GMP 2008, LNCS 4975, 290-303. ( pdf file)
  17. Finite Element Methods for Geometric Modeling and Processing Using General Fourth Order Geometric Flows, GMP 2008, LNCS 4975, 164-177. ( pdf file)
  18. Physically-based Surface Texture Synthesis Using a Coupled Finite Element System (with C. Bajaj, Y. Zhang). GMP 2008, LNCS 4975, 344-357. ( pdf file)
  19. A general framework for surface modeling using geometric partial differential equations (with Zhang Qin). Computer Aided Geometris Design, 25:3(2008), 181-202. ( pdf file)
  20. A discrete scheme of Laplace-Beltrami operator and its convergence over quadrilateral meshes (with Liu Dan Zhang Qin). Computers and Mathematics with Applications 55:6(2008), 1081-1093. ( pdf file) 2007
  21. A General Sixth Order Geometric Flow and Its Applications in Surface Processing (with Qin Zhang and Jie Sun), Proceedings of 2007 International Conference on Cyberworlds, Hannover, Germany, Oct. 24-27, pages, 447--456, ( pdf file)
  22. Construction of $\sigma$-orthogonal Polynomials and Gaussian Quadrature Formulas (with Yingguang Shi), Advances in Computational Mathematics, 27:1 (2007), 79--94, ( pdf file)
  23. Smooth Surface Reconstruction from Moisy Scattered Data---Variational Level Set Methods (with Zhang Qin and Liu Dan). Journal of Computer-Aided Design & Computer Graphics, 19:7(2007), 840-848. ( pdf file)
  24. An Algebraic Spline Model of Molecular Surfaces Modeling (with Weiqi Zhao and C. Bajaj). In Proceedings of Solid and Physical Modelling Sysmposium 2007. ( pdf file)
  25. A General Sixth Order Geometric Partial Differential Equation and Its Application in Surface Modeling (with Liu Dan). Journal of Information & Computational Science, 4:1(2007), 129-140. ( pdf file)
  26. G^2 Surface Modeling by Minimal Mean-Curvature-Variation Flow (with Qin Zhang). Computer Aided Design, 39(2007),342-351. ( pdf file)
  27. Angle Deficit Approximation of Gaussian Curvature and Its Convergence over Quadrilateral Meshes (with Liu Dan), Computer Aided Design, 39:6(2007), 506-517. ( pdf file)
  28. Curvature computations for n-manifolds in R^{m+n} and solution to an open problem proposed by R. Goldman (with Qin Zhang), Computer Aided Geometric Design, 24:2(2007), 117-123. ( pdf file)
  29. Triangular Surface Mesh Fairing via Gaussian Curvature Flow (with Huanxi Zhao), Journal of Computational and Applied Mathematics, 195: 1 ( 2006) 300-311, ( pdf file) 2006
  30. Construction of Geometric Partial Differential Equations in Computational Geometry (with Qin Zhang), Mathematica Numerica Sinica (in Chinese)( pdf file) , 28:4(2006), 337-356. Chinese J. of Numerical Mathmatics and Applications (in English) ( pdf file)
  31. Minimal Mean-Curvature-Variation Surfaces and Their Applications in Surface Modeling, (with Q. Zhang), Geometric Modelling and Processing -- GMP 2006, Lecture Notes in Computer Sciences, 4077(2006), 357-370. ( pdf file)
  32. Quality Meshing of Implicit Solvation Models of Biomolecular Structures (with Y. Zhang, C. Bajaj), Computer Aided Geometric Design, 23(2006), 510-530. ( pdf file)
  33. Progressive Computation and Numerical Tables of Generalized Gaussian Quadrature Formulas (with Yingguang Shi), J. on Numerical Methods and the Computer Application, 27:1(2006), 9-23 ( pdf file) .
  34. G^1$ Surface Modelling Using Fourth Order Geometric Flows (with Qing Pan), Computer-Aided Design, 38:4(2006), 392-403 ( ( pdf file) .
  35. DISCRETE LAPLACE-BELTRAMI OPERATOR ON SPHERE AND OPTIMAL SPHERICAL TRIANGULATIONS, International Journal of Computational Geometry and Application, 16:1(2006), 75--93, ( ps file)
  36. Convergence Analysis of a Discretization Scheme for Gaussian Curvature over Triangular Surfaces, Computer Aided Geometric Design, 23:2(2006) pp 193-207 ( pdf file) .
  37. Discrete Surface Modelling Using Partial Differential Equations (with Qing Pan and Bajaj), Computer Aided Geometric Design, 23:2(2006), 125--145. ( pdf file) 2005
  38. Convergence Analysis of Discrete Differential Geometry Operators over Surfaces (with Zhiqiang Xu and Jiaguang Sun), Mathematics of Surfaces XI, Lecture Notes in Computer Science 3604, Pages 448--457 ( pdf file) .
  39. Weighted Minimal Surfaces and Discrete Weighted Minimal Surfaces (with Qin Zhang), in Advances in Information & Computational Science, Edited by Renhong Wang and Jieqing Tan, Pages 250--255. Journal of Information & Computational Science, 2:2(2005), 395-408 ( pdf file) .
  40. Directional Smoothing of Triangular Meshes (with Huanxi Zhao), Proceedings of Computer Graphics, Imaging and Visualization New Trends, 2005, pages 397--402, IEEE Computer Society . ( pdf file)
  41. Surface Modelling Using Fourth Order Geometric Flows (with Qing Pan), Proceedings of Computer Graphics, Imaging and Visualization New Trends, 2005, pages 447--452, IEEE Computer Society ( pdf file)
  42. Surface Smoothing and Quality Improvement of Quadrilateral/Hexahedral Meshes with Geometric Flow (with Y. Zhang, C. Bajaj), Proceedings of 14th International Meshing Roundtable, pp. 449-468. San Diego, CA. September 11-14, 2005. ( pdf file)
  43. Geometric Modelling by Discrete Surface Patches Based on Geometric Partial Differential Equations, Journal of Computer Aided Design & Computer Graphics (with Qing Pan), 17:12(2005), 2596-2606. ( pdf file)
  44. A Discrete Scheme of Laplace-Beltrami Operator and Its Convergence over Quadrilateral Meshes (with Dan Liu), Progress of Geometric Design and Computing in 2005, Falai Chen, Jiansong Deng and Chendong Xu Eds. Press of University of Science and Technology of China, 2005.
  45. Interpolation by Loop's Subdivision Functions , Journal of Computational Mathematics, 23:3(2005), 247--260. ( pdf file) 2004
  46. Adaptive Surfaces Fairing by Geometric Diffusion (with C. L. Bajaj), Sarfraz, M, (ed), Geometric Modeling: Techniques, Applications, Systems and Tools, 2004, Kluwer Academic Publishers, ISBN: 1-4020-1817-7, pages 31--50. ( word file)
  47. Convergence of Discrete Laplace-Beltrami Operators over Surfaces, Computers and Mathematics with Applications, 48(2004), 347--360. ( pdf file)
  48. Surface fairing using diffusion and Gaussian curvature flow (with Huanxi Zhao), The Proceedings of International Symposium on Computing and Information (ISC&I 2004), vol. 2, 1092--1096.
  49. Discrete Laplace-Beltrami operators and their convergence, Computer Aided Geometric Design, 21(2004), 767--784. ( pdf file)
  50. The Convergent Discrete Laplace-Beltrami Operator over Triangular Surfaces, Proceedings of Geometric Modelling and Processing (GMP2004), 195--204. ( pdf file)
  51. Fast Evaluation of the Improved Loop's Subdivision Surfaces (with Pan Qing), Proceedings of Geometric Modelling and Processing (GMP2004), 205--214. ( pdf file)
  52. Surface Fairing and Featuring by Mean Curvature Motions, Journal of Computational and Applied Mathematics, Vol 163/1(2004), pp 295-309. ( pdf file) 2003
  53. NURBS approximation of A-splines and A-patches, International Journal of Computational Geometry and Applications (with C. Bajaj, R. Holt, A. Netravali), Vol. 13, No. 5, November 2003, page 359-389. ( pdf file)
  54. Some Nonlinear Approximations for Matrix-valued Functions, J. Comp. Math., 21:6(2003), 801-814. ( pdf file)
  55. Adaptive and Smooth Surface Construction by Triangular A-Patches, AMS/IP Studies in Advanced Mathematics, pages 213-225, Volume 34, 2003. ( pdf file)
  56. Curvatures Computations of 2-manifolds in $R^k$ (with C. L. Bajaj), J. Comp. Math., 21:5(2003), 681-688. ( ps file)
  57. Anisotropic Diffusion of Subdivision Surfaces and Functions on Surfaces (with C. L. Bajaj), ACM Transaction on Graphics, 22:1(2003), 4-32. ( pdf file)
  58. $C^1$ Modeling with Hybrid Multiple-sided A-patches (with C. L. Bajaj and Susan Evans), International Journal of Foundations of Computer Science, 13:2(2002), 261-284. ( pdf file)
  59. A subdivision scheme for hexahedral meshes (with C. L. Bajaj and J. Warren), The Visual Computer, 2002, 18:343-356. ( pdf file)
  60. Acoustics Scattering on Arbitrary Manifold Surfaces Using Recursive Subdivision (with C. L. Bajaj and J. Warren), in Proceedings of Geometric Modeling and Processing, Theory and Application 2002, Japan, pages 73-82. ( pdf file)
  61. Surface Mesh Fairing by Adaptive Geometric Diffusion (in Chinese), Mathematica Numerica Sinica 24:3(2002), 363--374.
  62. Hierarchical Multiresolution Reconstruction of Shell Surfaces (with C. L. Bajaj, R. J. Holt and A. N. Netravali), Computer Aided Geometric Design, 19:2(2002), 89-112. ( pdf file)
  63. Adaptive Surface Fairing by Geometric Diffusion (with C. L. Bajaj), International Symposium of Computer Aided Geometric Design IV2001-CAGD, England, Publisher: IEEE Computer Society Editors: Banissi, Khosrowshahi, Sarfraz, Ursyn book Title: Information Visualisation 2001 Page: 731-737. ( pdf file)
  64. Smooth Shell Construction with Mixed Prism Fat Surfaces (with C. L. Bajaj), Brucnett, G., Bieri, H., Farin, G. (eds.) Geometric Modeling, Dagstuhl 1929, Computing (Suppl) 14, pp. 19--35, 2001, Springer-Verlag, Wien. ( pdf file)
  65. $C^1$ Modeling with A-patches from Rational Trivariate Functions (with C. L. Bajaj and H. C. Huang), Computer Aided Geometric Design, 18:3(2001), 221-243. ( pdf file)
  66. Regular Algebraic Curve Segments(III)-Applications in Interactive Design and Data Fitting (with C. L. Bajaj), Computer Aided Geometric Design, 18:7(2001), 149-173. ( pdf file)
  67. Tetoahedral $C^m$ Interpolation by Rational Functions (with W. Xue and C. Zhu), Journal of Computational Mathematics, 19:2(2001), 131-138. ( pdf file)
  68. Triangular $C^m$ Interpolation by Rational Functions (with W. Xue and C. Zhu), Approximation Theory and its Applications, 16:4(2000), 35-54. ( pdf file)
  69. Regular Algebraic Curve Segments(II)-Interpolation and Approximation(with C. L. Bajaj and C. I. Chu), Computer Aided Geometric Design, 17:6(2000), 503-519. ( ps file)
  70. Regular Algebraic Curve Segments(I)-Definitions and Characteristics(with C. L. Bajaj and W. Xue), Computer Aided Geometric Design, 17:6(2000), 485-501. ( ps file)
  71. Error Bounded Regular Algebraic Spline Curves, (with C. L. Bajaj), in Proceedings of the Fifteenth Annual ACM Symposium on Computational Geometry, June 13--16, 1999, Miami Beach, Florida, pages 332-340. ( pdf file)
  72. A-Splines: Local Interpolation and Approximation using $C^k$-Continuous Piecewise Real Algebraic Curves(with C. L. Bajaj), CAGD 16(1999) 557-578. ( ps file)
  73. C1 Interpolation on Shells, J. on Numerical Methods and the Computer Application, 20:1(1999), 35-45.
  74. C1 Modeling of Surface Data by Rational Functions, Mathematica Numerica Sinica, 19:4(1997), 431-437.
  75. Implicit Curves and Surfaces in CAGD, J. on Numerical Methods and the Computer Application, 18:2(1997), 114-124.
  76. Piecewise Rational Approximation of Real Algebraic Curve (with C. L. Bajaj), J. Comp. Math.,15:1 (1997), 55-71.
  77. "Modeling and Visualization of and C1 and C2 Scattered Function Data on Curved Surfaces"(with C. Bajaj), Proc. of 2nd Pacific Conference on Computer Graphics and Applications, PAC94, Beijing China, 19 - 29.
  78. "Reconstructing Surfaces and Functions on Surfaces from Unorganized Three-Dimensional Data"(with C. Bajaj, F. Bernardini), Algorithmica, 19(1997), 243-261.
  79. Spline Approximations of Real Algebraic Surfaces(with C. L. Bajaj), Journal of Symbolic Computing, Special Issue on Parametric Algebraic Curves and Applications(1997) 23, 315-333.
  80. Interactive Shape Control and Rapid Display of A-Patches (with C. L. Bajaj and J.Chen), Eurographics International Workshop on Implicit Surfaces, Grenoble, France(1995), 197-215.
  81. Data Fitting with Cubic A-splines(with C. Bajaj), Proc. of Computer Graphics International, CGI94, pp. 338--346, Melbourne, Australia, World Scientific Publishing, (1996).
  82. C1 and C2 Reconstruction of Surfaces and Scalar Fields (with C. Bajaj, F. Bernardini and J. Chen), Fourth SIAM Conference on Geometric Design, November 6-9, 1995, Nashville, Tennessee.
  83. Adaptive Reconstruction of Surfaces and Scalar Fields from Scattered Trivariate Data(with F. Bernardini and C. Bajaj), Fourth SIAM Conference on Geometric Design, November 6-9, 1995, Nashville, Tennessee.
  84. Approximation of Polyhedron with $C^2$ A-Patches (with C. Bajaj and J. Chen), report on Fourth SIAM Conference on Geometric Design, November 6-9, 1995, Nashville, Tennessee.
  85. Modeling with Cubic A-Patches, (with C. Bajaj and J. Chen), ACM Transactions on Graphics, 14:2(1995), 103-133. ( pdf file)
  86. Automatic Reconstruction of Surfaces and Scalar Fields from 3D Scans (with C. Bajaj and F. Bernardini), Computer Graphics Proceedings(1995), Annual Conference series, Proceedings of SIGGRAPH95, ACM SIGGRAPH95, 109-118. ( pdf file)
  87. Sparse Smooth Connection between Bezier B-spline Curves(with C. Bajaj), Graphics Gems V, edited by Alan Paeth, Academic Press, New York, (1995).
  88. Constructive Solid Geometry on a MIMD Distributed-Memory Machines (with C. Bajaj, T. Dey) {\em Proceedings: Set-theoretic Solid Modeling Techniques and Applications, CSG94}, Information Geometers Press, Winchester, U.K. 1994, 213-223
  89. Evaluation of Elementary Functions For Variable Precision (with J. K. Li), J. on Numerical Methods and the Computer Application (in Chinese), 15:3(1994), 161-171. Chinese J. of Numerical Mathmatics and Applications (in English), 17:1(1995), 13--24.
  90. Modeling Scattered Function Data on Curved Surface(with C. Bajaj), in Fundamentals of Computer Graphics, Proceedings of the Second Pacific Conference on Computer Graphics and Applications, Pacific Graphics'94, pp. 19-32, Beijing, China(1994).
  91. Distributed Volume Modeling and Collaborative Visualization(with C. Bajaj,Schikore, D.), Proc. of Fifth Eurographics Workshop on Visualization in Scientific Computing, Rostock, Germany, (1994).
  92. Scientific Problem Solving in a Distributed and Collaborative Multimedia Environment(with Anupam, V., Bajaj, C., Bernardini, F., Cutchin, S., Chen, J., Schikore, D., Zhang, P., Zhang, W), Mathematics and Computers in Simulation, 36(1994), 433-442.
  93. Free-Form Surface Design with A-Patches(with C. Bajaj and Chen, J.), Proc. of Graphics Interface'94, (1994), 174--181. Vancouver, Canada, Canadian Information Processing Society, in press.
  94. Rational Spline Approximations of Real Algebraic Curves and Surfaces(with C. Bajaj), Advances in Computational Mathematics, edited by H.P. Dikshit and C. Michelli, World Scientific Publishing Co., Approximations and Decomposition Series, (1994), 73--85.
  95. Converting a Rational Curve to a Standard Rational Bezier Representation(with C. Bajaj), Graphics Gems IV, edited by P. Heckbert, {\sf Academic Press}, New York, (1994), 256--260.
  96. NURBS Approximation of Surface/Surface Intersection Curves(with C. Bajaj), Advances in Computational Mathematics, 2, 1, (1994) 1 - 21.
  97. Square Matrix Pade Approximation and Convergence Acceleration of Sequences(with Zhuang Guo zhong), J. Comput. Math. 11:3(1993), 225--235.
  98. Convergence Acceleration of Vector sequences by Vector Pade Approximations(with Zhuang Guo zhong), J. Comput. Math. 11:1(1993), 77--86.
  99. Matrix Pade Approximation:Recursive Computations (with A. Bultheel), J. Comput. Math. 10:3(1992), 254-262.
  100. The Rational Interpolation for Stieltjes Functions, J. Comput. Math. 10:2(1992), 181-193.
  101. Multivariate Pade Approximation and its application in solving systems of nonlinear equations, J. Comput. Math. 8:4(1991), 342-352.
  102. Multiple Precision FORTRAN, Software Industry, 3(1990).
  103. Matrix Pade Approximation: Definitions and Properties (with A. Bultheel), Lin. Algebra and Appl. 137/138(1990), 67-136.
  104. ``Introduction to Pade Approximation''(a book in Chinese, with Xu Xian--yu and Li Jia--kai), Shanghai Science & Technology Press, 1990.
  105. On the Problem of best Rational Approximation with Interpolating Constraints (II), (with Li Jia--kai), J. Comput. Math., 8:3(1990), 241--251.
  106. On the Problem of best Rational Approximation with Interpolating Constraints (I), (with Li Jia--kai), J. Comput. Math., 8:3(1990), 233--240.
  107. Existence and uniqueness of matrix Pade approximants, J. Comput. Math., 8:1(1990), 65--74.
  108. Generalized Matrix Pade Approximants, (with Li Jia--kai), Approximation Theory and its Applications, 5:4(1989), 47--60.
  109. The Problem of Matrix Pade Approximation (with A. Bultheel), Proceedings of International Symposium on "Approximation, Optimization and Computing:Theory and Applications". 1989, Dalian, China. A.G.Law and C.L. Wang(eds), pages 217-220.
  110. The Optimal Design for the Generation of Elementary Functions---Software tool, (with Li Jia--kai), J. on Numerical Methods and the Computer Application, 10:1(1989).
  111. Adaptive Remes Algorithm for best Polynomial Approximation, (Chinese, with Li Jia--kai), J. on Numerical Methods and the Computer Application. 10:3(1989), 157--166.
  112. On the Problem of Trigonometric Interpolation, J. Graduate School, Academia Sinica, 5:2(1988), 1--14.
  113. Rational Interpolation on a Curve, Mathematica Numerica Sinica (in Chinese), 10:1 (1988), 68-77. Chinese J. Num. Math. and Appl. (in English), 10:2(1988), 61-71.
  114. Generalized QD Algorithm for Rational Interpolation, J. on Numerical Methods and the Computer Application, 9:1(1988).
  115. On the Cardinalities of Interpolating Restricted Ranges, (with Li Jia--kai), J. Comput. Math., 5:3 (1987),210-214.
  116. The Continuity of the Rational Interpolating Operator, Mathematica Numerica Sinica, 7:1(1985),106-111.
  117. On the Solvability of Rational Hermite--interpolation Problem (with Li Jia--kai), J. Comput. Math. 3:3(1985), 238-251.
  118. Existence of Rational Interpolation Functions and an Open Problem of P. Turan, J. Comput. Math. 2:2(1984),170-179.
  119. The Generation of High Precision Elementary Functions (with others), Applied Mathematics and Mathematics of Computation, 6(1983),.
  120. Algorithm and Implementation of Arbitrarily High Precision Arithmetic, J. on Numerical Methods and the Computer Application, 4:4(1983),229-240.