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Line Geometry in Terms of the Null Geometric Algebra over ℝ3,3, and Application to the Inverse Singularity Analysis of Generalized Stewart Platforms

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Publication:4979429
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DOI10.1007/978-0-85729-811-9_13zbMath1291.51023OpenAlexW1001779774MaRDI QIDQ4979429

Lixian Zhang, Hong-Bo Li

Publication date: 23 June 2014

Published in: Guide to Geometric Algebra in Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-85729-811-9_13



Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Analytic geometry with other transformation groups (51N25)


Related Items (7)

3D oriented projective geometry through versors of \(\mathbb R^{3,3}\) ⋮ Matrices of \(\mathrm{SL}(4,\mathbb R)\) that are the product of two skew-symmetric matrices ⋮ Modeling 3D geometry in the Clifford algebra \(\mathbb R(4,4)\) ⋮ Automated theorem proving practice with null geometric algebra ⋮ A Clifford algebraic approach to line geometry ⋮ Closed form of inverse Plücker correspondence in line geometry ⋮ Affine spinor decomposition in three-dimensional affine geometry






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