Motor estimation using heterogeneous sets of objects in conformal geometric algebra

DOI10.1007/s00006-016-0692-8zbMath1410.70009OpenAlexW2440849017WikidataQ59513588 ScholiaQ59513588MaRDI QIDQ1695117

Olav Egeland, Lars Tingelstad

Publication date: 7 February 2018

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

Full work available at URL: https://doi.org/10.1007/s00006-016-0692-8

zbMATH Keywords

optimizationautomatic differentiationgeometric algebrarigid body motion estimation

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Methods of quasi-Newton type (90C53) Free motion of a rigid body (70E15) Clifford algebras, spinors (15A66)

Related Items

Motor parameterization ⋮ Calculating the rotor between conformal objects ⋮ \textit{REFORM:} rotor estimation from object resampling and matching

Uses Software

• Versor
• GitHub
• GAME

Cites Work

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• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• The 3D line motion matrix and alignment of line reconstructions
• Parameter estimation from uncertain data in geometric algebra
• New foundations for classical mechanics
• Automatic multivector differentiation and optimization
• Pose estimation in conformal geometric algebra. I: The stratification of mathematical spaces
• A Hitchhiker's guide to automatic differentiation
• The attitude control problem
• Estimating Motors from a Variety of Geometric Data in 3D Conformal Geometric Algebra
• Calibration of Target Positions Using Conformal Geometric Algebra
• Camera-Pose Estimation via Projective Newton Optimization on the Manifold
• Geometric Numerical Integration
• Computer Algebra and Geometric Algebra with Applications
• Motor algebra of 3D kinematics: The case of the hand-eye calibration