A concise quaternion geometry of rotations
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Publication:4651560
DOI10.1002/mma.560zbMath1085.15026OpenAlexW2024023251MaRDI QIDQ4651560
Ljudmila Meister, Helmut Schaeben
Publication date: 22 February 2005
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.560
rotationsgeometric objectscrystallographysphericalspherical Radon transformunit quaternionsspherical mean value theorem
Radon transform (44A12) Clifford algebras, spinors (15A66) Geometric constructions in real or complex geometry (51M15) Manifolds of mappings (58D15)
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General two-sided quaternion Fourier transform, convolution and mustard convolution ⋮ Quaternionic Wiener-Khinchine theorems and spectral representation of convolution with steerable two-sided quaternion Fourier transform ⋮ Kernel-based methods for inversion of the Radon transform on SO(3) and their applications to texture analysis ⋮ The quaternion domain Fourier transform and its properties ⋮ Generalized splines for Radon transform on compact Lie groups with applications to crystallography ⋮ The generalized totally geodesic Radon transform and its application to texture analysis ⋮ A new quaternion hyper-complex space with hyper argument and basic functions via quaternion dynamic equations ⋮ Group invariance of integrable Pfaffian systems ⋮ New applications of Clifford's geometric algebra
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