Closed form of inverse Plücker correspondence in line geometry

DOI10.1007/s11425-017-9242-3zbMath1430.51030OpenAlexW2911741334MaRDI QIDQ2010464

Lei Dong, Changpeng Shao, Lei Huang, Hong-Bo Li

Publication date: 27 November 2019

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-017-9242-3

zbMATH Keywords

line geometry\(\mathrm{SL}(4)\)\(\mathrm{SO}(3, 3)\)inverse Plücker correspondencePlücker correspondence

Mathematics Subject Classification ID

Inverse problems in linear algebra (15A29) Line geometries and their generalizations (51M30) Orthogonal matrices (15B10)

Cites Work

• A Clifford algebraic approach to line geometry
• Gravitation and electrodynamics over SO(3,3)
• Computing perspective projections in 3-dimensions using rotors in the homogeneous and conformal models of Clifford algebra
• Projective geometry with Clifford algebra
• \(R(4, 4)\) as a computational framework for 3-dimensional computer graphics
• The Exterior Algebra and Central Notions in Mathematics
• Lie groups as spin groups
• Line Geometry in Terms of the Null Geometric Algebra over ℝ3,3, and Application to the Inverse Singularity Analysis of Generalized Stewart Platforms
• Computational line geometry

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