Rationality of the Locus of Singularities of the General Gough--Stewart Platform

DOI10.1137/19M1253277zbMath1459.70005arXiv1904.01837OpenAlexW3080578518WikidataQ114615465 ScholiaQ114615465MaRDI QIDQ5125407

Seydou Moussa, Michel Coste

Publication date: 7 October 2020

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.01837

zbMATH Keywords

singularitiescubic surfaceparallel robot

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Kinematics of mechanisms and robots (70B15) Rationality questions in algebraic geometry (14E08)

Related Items (1)

Topology of the singularities of 3-RPR planar parallel robots

Cites Work

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• Stewart Gough platforms with non-cubic singularity surface
• Geometric characterization and parametric representation of the singularity manifold of a 6--6 Stewart platform manipulator
• Algebraic Geometry. I: Complex projective varieties.
• Parallel robots.
• The birationality of cubic surfaces over a given field
• Stewart-Gough platforms with simple singularity surface

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