Fast summation of functions on the rotation group

DOI10.1007/s11004-010-9281-xzbMath1221.65007OpenAlexW2003848858MaRDI QIDQ600861

Jürgen Prestin, Ralf Hielscher, Antje Vollrath

Publication date: 3 November 2010

Published in: Mathematical Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11004-010-9281-x

zbMATH Keywords

complexityalgorithmnumerical examplesfast Fourier transformerror boundsrotation groupkernel density estimationfast summationtexture analysiselectron back scattering diffraction

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15) Complexity and performance of numerical algorithms (65Y20) Numerical summation of series (65B10)

Related Items (5)

Kernel density estimation on the rotation group and its application to crystallographic texture analysis ⋮ Fast Global Optimization on the Torus, the Sphere, and the Rotation Group ⋮ Approximation on the rotation group SO(3) ⋮ Convolutions on the sphere: commutation with differential operators ⋮ A fast algorithm for nonequispaced Fourier transforms on the rotation group

Uses Software

• Matlab
• SOFT
• FFTW
• NFFT
• NFFT3

Cites Work

• Kernel-based methods for inversion of the Radon transform on SO(3) and their applications to texture analysis
• Stability results for approximation by positive definite functions on \(SO(3)\)
• A fast algorithm for nonequispaced Fourier transforms on the rotation group
• Interpolation by positive definite functions on locally compact groups with application to \(\text{SO} (3)\)
• FFTs on the rotation group
• Fast summation of radial functions on the sphere
• Using NFFT 3---A Software Library for Various Nonequispaced Fast Fourier Transforms
• Fast Summation at Nonequispaced Knots by NFFT
• Positive Zonal Functions on Spheres
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