Name
Abstract | ||
|---|---|---|
Algebraic methods in connection with classical multidimensional geometry have proven to be very efficient in the computation of direct and inverse kinematics of mechanisms as well as the explanation of strange, pathological behavior. In this paper, we give an overview of the results achieved within the last few years using the algebraic geometric method, geometric preprocessing, and numerical analysis. We provide the mathematical and geometrical background, like Study's parametrization of the Euclidean motion group, the ideals belonging to mechanism constraints, and methods to solve polynomial equations. The methods are explained with different examples from mechanism analysis and synthesis. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1017/S0263574707003530 | Robotica |
Keywords | Field | DocType |
algebraic method,different example,geometric preprocessing,geometrical background,numerical analysis,classical multidimensional geometry,mechanism constraint,mechanism analysis,Euclidean motion group,algebraic geometric method | Algebraic number,Inverse kinematics,Algebra,Control theory,Mechanism synthesis,Overconstrained mechanism,Mechanism analysis,Constraint manifold,Engineering,Computation | Journal |
Volume | Issue | ISSN |
25 | 6 | 0263-5747 |
Citations | PageRank | References |
3 | 0.60 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. Husty | 1 | 4 | 0.97 |
| Martin Pfurner | 2 | 7 | 2.73 |
| Hans-Peter Schröcker | 3 | 60 | 13.17 |
| Katrin Brunnthaler | 4 | 4 | 0.97 |