Automatic multivector differentiation and optimization

DOI10.1007/s00006-016-0722-6zbMath1367.65034OpenAlexW2525491949WikidataQ59519162 ScholiaQ59519162MaRDI QIDQ2361067

Olav Egeland, Lars Tingelstad

Publication date: 29 June 2017

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

Full work available at URL: https://doi.org/10.1007/s00006-016-0722-6

zbMATH Keywords

nonlinear optimizationrigid body motionautomatic differentiationgeometric algebra

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Free motion of a rigid body (70E15) Clifford algebras, spinors (15A66) Numerical differentiation (65D25)

Related Items (5)

An extended implementation framework for geometric algebra operations on systems of coordinate frames of arbitrary signature ⋮ Motor parameterization ⋮ Object detection in point clouds using conformal geometric algebra ⋮ Motor estimation using heterogeneous sets of objects in conformal geometric algebra ⋮ Foundations for strip adjustment of airborne laserscanning data with conformal geometric algebra

Uses Software

• CLUCalc
• Gaalop
• CUDA
• Gaigen
• Eigen
• OpenGL
• OpenCL
• GAviewer
• Versor
• DiffSharp
• Ceres Solver
• OpenPTrack
• GitHub
• GAME

Cites Work

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• New foundations for classical mechanics
• Composing surfaces with conformal rotors
• Gaalop—High Performance Parallel Computing Based on Conformal Geometric Algebra
• A New Approach to Differential Geometry using Clifford's Geometric Algebra
• Evaluating Derivatives
• Estimating Motors from a Variety of Geometric Data in 3D Conformal Geometric Algebra
• Calibration of Target Positions Using Conformal Geometric Algebra
• Fast Reverse-Mode Automatic Differentiation using Expression Templates in C++
• Computer Algebra and Geometric Algebra with Applications
• Motor algebra of 3D kinematics: The case of the hand-eye calibration

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