Algebraic solution for geometry from dimensional constraints
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
Mechanical theorem proving in geometries
Mechanical theorem proving in geometries
Enumeration problems in geometry, robotics and vision
Algorithms in algebraic geometry and applications
Decomposition plans for geometric constraint problems, part II: new algorithms
Journal of Symbolic Computation
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
Geometric constraint solving via C-tree decomposition
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Generalized Stewart-Gough platforms and their direct kinematics
IEEE Transactions on Robotics
Classification of direct kinematics to planar generalized Stewart platforms
Computational Geometry: Theory and Applications
| Hi-index | 0.00 |
In this paper, we introduce the concept of planar generalized Stewart platform (GSP) consisting of two rigid bodies connected with three constraints between three pairs of geometric primitives in the two rigid bodies respectively. This problem can be treated as a special but important class of geometric constraint solving problems. We show that there exist sixteen forms of planar GSPs. We also obtain the closed-form solutions of the direct kinematics for the planar GSPs. For a class of GSPs with two distance and one angular constraints, we may give pure geometric solutions based on ruler and compass constructions.