Geometric Constraint Solving and Engineering Geometry
Geometric Constraint Solving
 X.S. Gao, Q. Lin, and G. Zhang,
A Ctree Decomposition Algorithm
for 2D and 3D Geometric Constraint Solving,
Computer Aided Design, 38(1), 113, 2006.

X.S. Gao and S. C. Chou,
Solving Geometric Constraint Systems,
I. A Global Propagation Approach,
Computer Aided Design,
Vol. 30, No. 1, 4754, 1998.

X.S. Gao and S. C. Chou,
Solving Geometric Constraint Systems,
II. A Symbolic Computational Approach,
Computer Aided Design,
Vol. 30, No.2, 115122, 1998.

X.S. Gao, K. Jiang, and C.C. Zhu,
Geometric Constraint Solving with Conics and Linkages,
Computer Aided Design,, 34(6), 421433, 2002.

J. Ge, S.C. Chou and X.S. Gao,
Geometric Constraint Satisfaction Using Optimization Methods,
Computer Aided Design, 31(14), 867879, 2000.

G.F. Zhang and X.S. Gao,
Wellconstrained Completion and
Decomposition for Underconstrained Geometric Constraint Problems,
16, International Journal of Computational Geometry &
Applications, 461478, 2006.

G.F. Zhang and X.S. Gao,
Spatial Geometric Constraint Solving Based
on kconnected Graph Decomposition, 973977, Proc. of The 21st
Annual ACM Symposium on Applied Computing, Dijon, France, ACM
Press, 2006.

X.S. Gao, C.M. Hoffmann and W. Yang,
Solving spatial basic geometric constraint configurations with locus intersection,
Computer Aided Design, 111122, 36(2), 2004.

X.S. Gao and G. Zhang,
Geometric Constraint Solving via Ctree Decomposition,
(Appendix)
ACM Solid Modelling 2003, 4555, Seattle, USA, ACM Press, New York, 2003.

X.S. Gao, C. Zhu, S.C. Chou, and J.X. Ge,
Automated Generation of Kempe Linkages for
Algebraic Curves and Surfaces,
Mechanism and Machine Theory, 36(9), 10191033, 2002.

X.S. Gao, C.M. Hoffmann and W. Yang,
Solving Basic Gometric Constraint Configurations with Locus Intersection,
Proc. ACM Solid Modelling 2002, 95104, ACM Press, New York, 2002.

X.S. Gao, L. Huang, and K, Jiang,
Geometric Constraint Solving with Geometric Transformation,
Science in China (Series F), 44(1), 5059, 2001.

X.S. Gao, L. Huang, and K, Jiang,
A Hybrid Method for Solving Geometric Constraint Problems
in Automated Deduction in Geometry,
J. RichterGebert and D. Wang (eds), 1625,
LNAI No. 2061, SpringerVerlag, Berlin, 2001.
Direct Kinematics of Stewart Platform
 X.S. Gao, D. Lei, Q. Liao, and G. Zhang,
Generalized Stewart Platforms and their Direct Kinematics,
IEEE Trans. Robotics, vol 21, 141151, 2005.
 G.F. Zhang and X.S. Gao,
Planar Generalized StewartGough Platforms
and their Direct Kinematics, ADG 2004, LNAI 3763, 198211,
SpringerVerlag, Berlin, 2006,.
Perspectivenpoint Problem

X.S. Gao, X. Hou, J. Tang and H. Chen,
Complete Solution Classification for the PerspectiveThreePoint Problem,
IEEE Tran. on PAMI, 930943, 25(8), 2003..
Here is the appendix to this paper
 X.S. Gao and J. Tang,
On the Probability of the Number of Solutions for the P4P Problem,
Journal of Mathematical Imaging and Vision, 25, 7986, 2006.