Analytic Video (2D + t) Signals Using Clifford–Fourier Transforms in Multiquaternion Grassmann–Hamilton–Clifford Algebras

DOI10.1007/978-3-0348-0603-9_10zbMath1273.15024OpenAlexW40181147MaRDI QIDQ2847061

Romaric Pujol, Philippe Delachartre, Patrick Clarysse, Adrien Marion, Robert Goutte, Patrick R. Girard

Publication date: 4 September 2013

Published in: Quaternion and Clifford Fourier Transforms and Wavelets (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0603-9_10

zbMATH Keywords

numerical examplesClifford-Fourier transforms\((2\mathrm D+t)\) analytic video signalsClifford biquaternionsdiscrete fast Fourier transformsmultiquaternion Clifford algebras

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for discrete and fast Fourier transforms (65T50) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Clifford algebras, spinors (15A66)

Related Items

Applications of Clifford's geometric algebra ⋮ Differential Geometry Revisited by Biquaternion Clifford Algebra ⋮ Three‐dimensional generalized analytic signal associated with linear canonical transform in Clifford biquaternion domain

Cites Work

• The unified theory of \(n\)-dimensional complex and hypercomplex analytic signals
• The two-dimensional Clifford-Fourier transform
• Quaternion Fourier transform on quaternion fields and generalizations
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