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Xiao-Shan Gao: [Publications] [Author Rank by year] [Co-authors] [Prefers] [Cites] [Cited by]

Publications of Author

  1. Lu Yang, Xiao-Shan Gao, Shang-Ching Chou, Jing-Zhong Zhang
    Automated Production of Readable Proofs for Theorems in Non-Euclidian Geometries. [Citation Graph (0, 0)][DBLP]
    Automated Deduction in Geometry, 1996, pp:171-188 [Conf]
  2. Xiao-Shan Gao
    Automated Geometry Diagram Construction and Engineering Geometry. [Citation Graph (0, 0)][DBLP]
    Automated Deduction in Geometry, 1998, pp:232-257 [Conf]
  3. Xiao-Shan Gao, Lei-Dong Huang, Kun Jiang
    A Hybrid Method for Solving Geometric Constraint Problems. [Citation Graph (0, 0)][DBLP]
    Automated Deduction in Geometry, 2000, pp:16-25 [Conf]
  4. Xiao-Shan Gao, Qiang Lin
    MMP/Geometer - A Software Package for Automated Geometric Reasoning. [Citation Graph (0, 0)][DBLP]
    Automated Deduction in Geometry, 2002, pp:44-66 [Conf]
  5. Gui-Fang Zhang, Xiao-Shan Gao
    Planar Generalized Stewart Platforms and Their Direct Kinematics. [Citation Graph (0, 0)][DBLP]
    Automated Deduction in Geometry, 2004, pp:198-211 [Conf]
  6. Shang-Ching Chou, Xiao-Shan Gao
    Ritt-Wu's Decomposition Algorithm and Geometry Theorem Proving. [Citation Graph (0, 0)][DBLP]
    CADE, 1990, pp:207-220 [Conf]
  7. Shang-Ching Chou, Xiao-Shan Gao
    Proving Geometry Statements of Constructive Type. [Citation Graph (0, 0)][DBLP]
    CADE, 1992, pp:20-34 [Conf]
  8. Shang-Ching Chou, Xiao-Shan Gao, Jing-Zhong Zhang
    An Introduction to Geometry Expert. [Citation Graph (0, 0)][DBLP]
    CADE, 1996, pp:235-239 [Conf]
  9. Nicholas Freitag McPhee, Shang-Ching Chou, Xiao-Shan Gao
    Mechanically Proving Geometry Theorems Using a Combination of Wu's Method and Collins' Method. [Citation Graph (0, 0)][DBLP]
    CADE, 1994, pp:401-415 [Conf]
  10. Ruyong Feng, Xiao-Shan Gao
    Polynomial General Solutions for First Order Autonomous ODEs. [Citation Graph (0, 0)][DBLP]
    IWMM/GIAE, 2004, pp:5-17 [Conf]
  11. Xiao-Shan Gao, Ming Li
    Construct Piecewise Hermite Interpolation Surface with Blending Methods. [Citation Graph (0, 0)][DBLP]
    GMP, 2002, pp:53-59 [Conf]
  12. Xiao-Shan Gao, Ming Li
    Rational Quadratic Approximation to Real Plane Algebraic Curves. [Citation Graph (0, 0)][DBLP]
    GMP, 2004, pp:93-102 [Conf]
  13. Jin-San Cheng, Xiao-Shan Gao, Ming Li
    Determining the Topology of Real Algebraic Surfaces. [Citation Graph (0, 0)][DBLP]
    IMA Conference on the Mathematics of Surfaces, 2005, pp:121-146 [Conf]
  14. J. M. Aroca, J. Cano, Ruyong Feng, Xiao-Shan Gao
    Algebraic general solutions of algebraic ordinary differential equations. [Citation Graph (0, 0)][DBLP]
    ISSAC, 2005, pp:29-36 [Conf]
  15. Shang-Ching Chou, Xiao-Shan Gao
    Methods for Mechanical Geometry Formula Deriving. [Citation Graph (0, 0)][DBLP]
    ISSAC, 1990, pp:265-270 [Conf]
  16. Shang-Ching Chou, Xiao-Shan Gao, Jing-Zhong Zhang
    Automated Geometry Theorem Proving by Vector Calculation. [Citation Graph (0, 0)][DBLP]
    ISSAC, 1993, pp:284-291 [Conf]
  17. Ruyong Feng, Xiao-Shan Gao
    Rational general solutions of algebraic ordinary differential equations. [Citation Graph (0, 0)][DBLP]
    ISSAC, 2004, pp:155-162 [Conf]
  18. Xiao-Shan Gao, Shang-Ching Chou
    Computations with Parametric Equations. [Citation Graph (0, 0)][DBLP]
    ISSAC, 1991, pp:122-127 [Conf]
  19. Xiao-Shan Gao, Shang-Ching Chou
    Solving Parametric Algebraic Systems. [Citation Graph (0, 0)][DBLP]
    ISSAC, 1992, pp:335-341 [Conf]
  20. Xiao-Shan Gao, Mingbo Zhang
    Decomposition of differential polynomials with constant coefficients. [Citation Graph (0, 0)][DBLP]
    ISSAC, 2004, pp:175-182 [Conf]
  21. Xiao-Shan Gao, Chun-Ming Yuan
    Resolvent systems of difference polynomial ideals. [Citation Graph (0, 0)][DBLP]
    ISSAC, 2006, pp:101-108 [Conf]
  22. Shang-Ching Chou, Xiao-Shan Gao
    Automated Reasoning in Differential Geometry and Mechanics Using Characteristic Method. [Citation Graph (0, 0)][DBLP]
    IWAR, 1992, pp:1-12 [Conf]
  23. Xiao-Shan Gao
    An Introduction to Wu's Method of Mechanical Geometry Theorem Proving. [Citation Graph (0, 0)][DBLP]
    IWAR, 1992, pp:13-22 [Conf]
  24. Shang-Ching Chou, Xiao-Shan Gao, Jing-Zhong Zhang
    Automated Production of Traditional Proofs for Constructive Geometry Theorems [Citation Graph (0, 0)][DBLP]
    LICS, 1993, pp:48-56 [Conf]
  25. Xiao-Shan Gao, Dominique Michelucci, Pascal Schreck
    Editorial message: technical track on geometric computing and reasoning. [Citation Graph (0, 0)][DBLP]
    SAC, 2006, pp:962- [Conf]
  26. Gui-Fang Zhang, Xiao-Shan Gao
    Spatial geometric constraint solving based on k-connected graph decomposition. [Citation Graph (0, 0)][DBLP]
    SAC, 2006, pp:979-983 [Conf]
  27. Xiao-Shan Gao, Christoph M. Hoffmann, Wei-Qiang Yang
    Solving spatial basic geometric constraint configurations with locus intersection. [Citation Graph (0, 0)][DBLP]
    Symposium on Solid Modeling and Applications, 2002, pp:95-104 [Conf]
  28. Xiao-Shan Gao, Gui-Fang Zhang
    Geometric constraint solving via C-tree decomposition. [Citation Graph (0, 0)][DBLP]
    Symposium on Solid Modeling and Applications, 2003, pp:45-55 [Conf]
  29. Xiao-Shan Gao, Gui-Fang Zhang
    Classification and Solving of Merge Patterns in Geometric Constraint Solving. [Citation Graph (0, 0)][DBLP]
    Shape Modeling International, 2003, pp:89-98 [Conf]
  30. Xinchao Zhao, Xiao-Shan Gao
    A Hybrid Genetic Algorithm Based on Simulated Annealing and Applications to Optimization and SAT Problems. [Citation Graph (0, 0)][DBLP]
    SNPD, 2004, pp:12-18 [Conf]
  31. Xiao-Shan Gao, Shang-Ching Chou
    On the Parameteriation of Algebraic Curves. [Citation Graph (0, 0)][DBLP]
    Appl. Algebra Eng. Commun. Comput., 1992, v:3, n:, pp:27-38 [Journal]
  32. Jing-Zhong Zhang, Shang-Ching Chou, Xiao-Shan Gao
    Automated Production of Traditional Proofs for Theorems in Euclidean Geometry. [Citation Graph (0, 0)][DBLP]
    Ann. Math. Artif. Intell., 1995, v:13, n:1-2, pp:109-138 [Journal]
  33. Xiao-Shan Gao, Shang-Ching Chou
    Solving geometric constraint systems. I. A global propagation approach. [Citation Graph (0, 0)][DBLP]
    Computer-Aided Design, 1998, v:30, n:1, pp:47-54 [Journal]
  34. Xiao-Shan Gao, Shang-Ching Chou
    Solving geometric constraint systems. II. A symbolic approach and decision of Rc-constructibility. [Citation Graph (0, 0)][DBLP]
    Computer-Aided Design, 1998, v:30, n:2, pp:115-122 [Journal]
  35. Xiao-Shan Gao, Christoph M. Hoffmann, Wei-Qiang Yang
    Solving spatial basic geometric constraint configurations with locus intersection. [Citation Graph (0, 0)][DBLP]
    Computer-Aided Design, 2004, v:36, n:2, pp:111-122 [Journal]
  36. Xiao-Shan Gao, Kun Jiang, Chang-Cai Zhu
    Geometric constraint solving with conics and linkages. [Citation Graph (0, 0)][DBLP]
    Computer-Aided Design, 2002, v:34, n:6, pp:421-433 [Journal]
  37. Xiao-Shan Gao, Qiang Lin, Gui-Fang Zhang
    A C-tree decomposition algorithm for 2D and 3D geometric constraint solving. [Citation Graph (0, 0)][DBLP]
    Computer-Aided Design, 2006, v:38, n:1, pp:1-13 [Journal]
  38. Jian-Xin Ge, Shang-Ching Chou, Xiao-Shan Gao
    Geometric constraint satisfaction using optimization methods. [Citation Graph (0, 0)][DBLP]
    Computer-Aided Design, 1999, v:31, n:14, pp:867-879 [Journal]
  39. Xiao-Shan Gao, Ming Li
    Rational quadratic approximation to real algebraic curves. [Citation Graph (0, 0)][DBLP]
    , 2004, v:, n:, pp:805-828 [Journal]
  40. Eng-Wee Chionh, Xiao-Shan Gao, Liyong Shen
    Inherently improper surface parametric supports. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 2006, v:23, n:8, pp:629-639 [Journal]
  41. Jimin Wang, Xiao-Shan Gao
    An algorithm for solving partial differential parametric systems. [Citation Graph (0, 0)][DBLP]
    Discrete Applied Mathematics, 2004, v:136, n:1, pp:105-116 [Journal]
  42. Xinchao Zhao, Xiao-Shan Gao
    Affinity genetic algorithm. [Citation Graph (0, 0)][DBLP]
    J. Heuristics, 2007, v:13, n:2, pp:133-150 [Journal]
  43. Xiao-Shan Gao, Shang-Ching Chou
    On the normal parametrization of curves and surfaces. [Citation Graph (0, 0)][DBLP]
    Int. J. Comput. Geometry Appl., 1991, v:1, n:2, pp:125-136 [Journal]
  44. Xiao-Shan Gao, Dominique Michelucci
    Guest Editors' Foreword. [Citation Graph (0, 0)][DBLP]
    Int. J. Comput. Geometry Appl., 2006, v:16, n:5-6, pp:377-378 [Journal]
  45. Gui-Fang Zhang, Xiao-Shan Gao
    Well-constrained Completion and Decomposition for under-constrained Geometric Constraint Problems. [Citation Graph (0, 0)][DBLP]
    Int. J. Comput. Geometry Appl., 2006, v:16, n:5-6, pp:461-478 [Journal]
  46. Xiao-Shan Gao
    Transcendental Functions and Mechanical Theorem Proving in Elemantary Geometries. [Citation Graph (0, 0)][DBLP]
    J. Autom. Reasoning, 1990, v:6, n:4, pp:403-417 [Journal]
  47. Shang-Ching Chou, Xiao-Shan Gao
    Automated Reasoning in Differential Geometry and Mechanics Using the Characteristic Set Method. Part I. An Improved Version of Ritt-Wu's Decomposition Algorithm. [Citation Graph (0, 0)][DBLP]
    J. Autom. Reasoning, 1993, v:10, n:2, pp:161-172 [Journal]
  48. Shang-Ching Chou, Xiao-Shan Gao
    Automated Reasoning in Differential Geometry and Mechanics Using the Characteristic Set Method. Part II. Mechanical Theorem Proving. [Citation Graph (0, 0)][DBLP]
    J. Autom. Reasoning, 1993, v:10, n:2, pp:173-189 [Journal]
  49. Shang-Ching Chou, Xiao-Shan Gao
    Automated Generation of Readable Proofs with Geometric Invariants I. Multiple and Shortest Proof Generation. [Citation Graph (0, 0)][DBLP]
    J. Autom. Reasoning, 1996, v:17, n:3, pp:325-347 [Journal]
  50. Shang-Ching Chou, Xiao-Shan Gao, Jing-Zhong Zhang
    A Deductive Database Approach to Automated Geometry Theorem Proving and Discovering. [Citation Graph (0, 0)][DBLP]
    J. Autom. Reasoning, 2000, v:25, n:3, pp:219-246 [Journal]
  51. Shang-Ching Chou, Xiao-Shan Gao, Jing-Zhong Zhang
    Automated Production of Traditional Proofs in Solid Geometry. [Citation Graph (0, 0)][DBLP]
    J. Autom. Reasoning, 1995, v:14, n:2, pp:257-291 [Journal]
  52. Shang-Ching Chou, Xiao-Shan Gao, Jing-Zhong Zhang
    Automated Generation of Readable Proofs with Geometric Invariants. [Citation Graph (0, 0)][DBLP]
    J. Autom. Reasoning, 1996, v:17, n:3, pp:349-370 [Journal]
  53. Xiao-Shan Gao, Hangfei Chen
    New Algorithms for the Perspective-Three-Point Problem. [Citation Graph (0, 0)][DBLP]
    J. Comput. Sci. Technol., 2001, v:16, n:3, pp:194-207 [Journal]
  54. Ming Li, Xiao-Shan Gao, Jin-San Cheng
    Generating Symbolic Interpolants for Scattered Data with Normal Vectors. [Citation Graph (0, 0)][DBLP]
    J. Comput. Sci. Technol., 2005, v:20, n:6, pp:861-874 [Journal]
  55. Wen-tsun Wu, Xiao-Shan Gao
    Automated Reasoning and Equation Solving with the Characteristic Set Method. [Citation Graph (0, 0)][DBLP]
    J. Comput. Sci. Technol., 2006, v:21, n:5, pp:756-764 [Journal]
  56. Arjeh M. Cohen, Xiao-Shan Gao, Nobuki Takayama
    Editorial. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 2004, v:38, n:4, pp:1167-1168 [Journal]
  57. Xiao-Shan Gao
    Implicitization of differential rational parametric equations. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 2003, v:36, n:5, pp:811-824 [Journal]
  58. Ruyong Feng, Xiao-Shan Gao
    A polynomial time algorithm for finding rational general solutions of first order autonomous ODEs. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 2006, v:41, n:7, pp:739-762 [Journal]
  59. Xiao-Shan Gao, Shang-Ching Chou
    Implicitization of Rational Parametric Equations. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 1992, v:14, n:5, pp:459-470 [Journal]
  60. Xiao-Shan Gao, Shang-Ching Chou
    A Zero Structure Theorem for Differential Parametric Systems. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 1993, v:16, n:6, pp:585-595 [Journal]
  61. Xiao-Shan Gao, Xiaorong Hou, Jianliang Tang, Hang-Fei Cheng
    Complete Solution Classification for the Perspective-Three-Point Problem. [Citation Graph (0, 0)][DBLP]
    IEEE Trans. Pattern Anal. Mach. Intell., 2003, v:25, n:8, pp:930-943 [Journal]
  62. Jin-San Cheng, Xiao-Shan Gao, Chee-Keng Yap
    Complete numerical isolation of real zeros in zero-dimensional triangular systems. [Citation Graph (0, 0)][DBLP]
    ISSAC, 2007, pp:92-99 [Conf]
  63. Ming Li, Xiao-Shan Gao, Shang-Ching Chou
    Quadratic approximation to plane parametric curves and its application in approximate implicitization. [Citation Graph (0, 0)][DBLP]
    The Visual Computer, 2006, v:22, n:9-11, pp:906-917 [Journal]

  64. Ambient Isotopic Meshing for Implicit Algebraic Surfaces with Singularities. [Citation Graph (, )][DBLP]


  65. Decomposition of Differential Polynomials. [Citation Graph (, )][DBLP]


  66. Root isolation for bivariate polynomial systems with local generic position method. [Citation Graph (, )][DBLP]


  67. Special track on Geometric Constraints and Reasoning: editorial message. [Citation Graph (, )][DBLP]


  68. Topology determination and isolation for implicit plane curves. [Citation Graph (, )][DBLP]


  69. Properties of Ascending Chains for Partial Difference Polynomial Systems. [Citation Graph (, )][DBLP]


  70. A Modified Van der Waerden Algorithm to Decompose Algebraic Varieties and Zero-Dimensional Radical Ideals. [Citation Graph (, )][DBLP]


  71. Decomposition of ordinary differential polynomials. [Citation Graph (, )][DBLP]


  72. Ambient Isotopic Meshing of Implicit Algebraic Surface with Singularities [Citation Graph (, )][DBLP]


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