An operational calculus for the Euclidean motion group with applications in robotics and polymer science

DOI10.1007/BF02510697zbMath0974.22021MaRDI QIDQ5929341

Alexander B. Kyatkin, Gregory S. Chirikjian

Publication date: 19 December 2001

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59662

zbMATH Keywords

Fourier transformconvolution equationsharmonic analysismotion grouppartial differential equationunitary representations

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Kinematics of a rigid body (70B10) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (7)

PDE-based group equivariant convolutional neural networks ⋮ Spherical tensor algebra: a toolkit for 3D image processing ⋮ Multidimensional wave field signal theory: transfer function relationships ⋮ Fourier-Zernike series of compactly supported convolutions on \(SE(2)\) ⋮ Information-Theoretic Matrix Inequalities and Diffusion Processes on Unimodular Lie Groups ⋮ Algorithms for fast convolutions on motion groups ⋮ Fourier-Zernike series of convolutions on disks

Uses Software

• Algorithm 432

Cites Work

• Group-theoretical methods in image understanding
• Lie theory and special functions
• An analogue of the Paley-Wiener theorem for the euclidean motion group
• Helical Wormlike Chains in Polymer Solutions
• A Hessenberg-Schur method for the problem AX + XB= C
• Fredholm integral equations on the Euclidean motion group
• Efficient workspace generation for binary manipulators with many actuators
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
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