Calculating the rotor between conformal objects

DOI10.1007/s00006-019-1014-8zbMath1430.53041OpenAlexW2981426306MaRDI QIDQ2010552

Anthony Lasenby, H. Hadfield, Joan Lasenby

Publication date: 27 November 2019

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-019-1014-8

zbMATH Keywords

rotationsspherestranslationscirclesdilationsconformal geometric algebrainversionscovariant transformationslines, planesnoisy objectspoint pairs

Mathematics Subject Classification ID

Euclidean analytic geometry (51N20) Möbius geometries (51B10) Conformal structures on manifolds (53C18)

Related Items (7)

On factorization of multivectors in Cl(3,0), Cl(1,2) and Cl(0,3), by exponentials and idempotents ⋮ Computational aspects of geometric algebra products of two homogeneous multivectors ⋮ Using a graph transformer network to predict 3D coordinates of proteins via geometric algebra modelling ⋮ On factorization of multivectors in Cl(2,1)$$ Cl\left(2,1\right) $$, by exponentials and idempotents ⋮ Direct linear interpolation of geometric objects in conformal geometric algebra ⋮ Hyperquaternion conformal groups ⋮ A 1d up approach to conformal geometric algebra: applications in line fitting and quantum mechanics

Cites Work

• Generating fractals using geometric algebra
• Carrier method for the general evaluation and control of pose, molecular conformation, tracking, and the like
• Motor estimation using heterogeneous sets of objects in conformal geometric algebra
• \textit{REFORM:} rotor estimation from object resampling and matching
• Direct linear interpolation of geometric objects in conformal geometric algebra
• Estimating Motors from a Variety of Geometric Data in 3D Conformal Geometric Algebra
• Square Root and Logarithm of Rotors in 3D Conformal Geometric Algebra Using Polar Decomposition

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