Simplified Voronoi diagrams for motion planning of quadratically-solvable Gough-Stewart platforms

Cita com:
hdl:2117/19513
Document typeConference report
Defense date2012
PublisherSpringer
Rights accessOpen Access
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Abstract
The obstacles in Configuration Space of quadratically-solvable Gough-Stewart platforms, due to both kinematic singularities and collisions, can be uniformly represented by a Boolean combination of signs of 4×4 determinants involving the homogeneous coordinates of sets of four points. This Boolean combination
induces a measure of distance to obstacles in Configuration Space from which a
simplified Voronoi diagram can be derived. Contrary to what happens with standard Voronoi diagrams, this diagram is no longer a strong deformation retract of free space but, as Canny proved in 1987, it is still complete for motion planning. Its main advantage is that it has lower algebraic complexity than standard Voronoi diagrams based on the Euclidean metric.
CitationVaca, R.; Aranda, J.; Thomas, F. Simplified Voronoi diagrams for motion planning of quadratically-solvable Gough-Stewart platforms. A: International Symposium on Advances in Robot Kinematics. "Latest advances in robot kinematics". Innsbruck: Springer, 2012, p. 157-164.
ISBN978-94-007-4620-6
Collections
- Departament d'Enginyeria de Sistemes, Automàtica i Informàtica Industrial - Ponències/Comunicacions de congressos [1.571]
- IBEC - Institute for Bioengineering of Catalonia - Ponències/Comunicacions de congressos [75]
- ROBiri - Grup de Percepció i Manipulació Robotitzada de l'IRI - Ponències/Comunicacions de congressos [283]
- GRINS - Grup de Recerca en Robòtica Intel·ligent i Sistemes - Ponències/Comunicacions de congressos [73]
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