Algorithmic algebra
Mechanical theorem proving in geometries
Mechanical theorem proving in geometries
Enumeration problems in geometry, robotics and vision
Algorithms in algebraic geometry and applications
Statics and Kinematics with Applications to Robotics
Statics and Kinematics with Applications to Robotics
Parallel Robots
Automated Geometric Reasoning: Dixon Resultants, Gröbner Bases, and Characteristic Sets
Selected Papers from the International Workshop on Automated Deduction in Geometry
A C-tree decomposition algorithm for 2D and 3D geometric constraint solving
Computer-Aided Design
Planar generalized stewart platforms and their direct kinematics
ADG'04 Proceedings of the 5th international conference on Automated Deduction in Geometry
Generalized Stewart-Gough platforms and their direct kinematics
IEEE Transactions on Robotics
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This paper presents the classification of direct kinematics for the planar generalized Stewart platform (GSP) which consists of two rigid bodies connected by three constraints between three pairs of points or lines in the base and the moving platforms. For each of the sixteen forms of planar GSPs, we give the explicit conditions on the parameters for the GSPs to have a given number of real solutions.