Quaternion and Clifford Fourier transforms and wavelets
Quaternion and Clifford Fourier and wavelet transformations generalize the classical theory to higher dimensions and are becoming increasingly important in diverse areas of mathematics, physics, computer science and engineering. This edited volume presents the state of the art in these hypercomplex...
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| Daljnji autori: | , |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Izdanje: | 1st ed. 2013. |
| Serija: | Trends in Mathematics
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| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Quaternion and Clifford Fourier transforms and wavelets, Eckhard Hitzer, Stephen J. Sangwine, editors, Basel, Birkhäuser, Springer, 2013, 1 vol. (XXVII-338 p.), Trends in mathematics, 978-3-0348-0602-2, Texte imprimé • Quaternion and Clifford Fourier Transforms and Wavelets, Texte imprimé, 9783034806046 • Quaternion and Clifford Fourier Transforms and Wavelets, Texte imprimé, 9783034807777 • Quaternion and Clifford Fourier transforms and wavelets, Eckhard Hitzer, Stephen J. Sangwine, editors, Basel, Birkhäuser, Springer, 2013, 1 vol. (XXVII-338 p.), Trends in mathematics, 978-3-0348-0602-2 |
Sadržaj:
- Preface.- History of Quaternion and Clifford-Fourier Transforms and Wavelets Part I: Quaternions.- 1 Quaternion Fourier Transform: Re-tooling Image and Signal Processing Analysis.- 2 The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations.- 3 Quaternionic Spectral Analysis of Non-Stationary Improper Complex Signals.- 4 Quaternionic Local Phase for Low-level Image Processing Using Atomic Functions.- 5 Bochner s Theorems in the Framework of Quaternion Analysis.- 6 Bochner-Minlos Theorem and Quaternion Fourier Transform Part II: Clifford Algebra.- 7 Square Roots of -1 in Real Clifford Algebras.- 8 A General Geometric Fourier Transform.- 9 Clifford-Fourier Transform and Spinor Representation of Images 10 Analytic Video (2D+t) Signals Using Clifford-Fourier Transforms in Multiquaternion Grassmann-Hamilton-Clifford Algebras 11 Generalized Analytic Signals in Image Processing: Comparison, Theory and Applications 12 Color Extension of Monogenic Wavelets with Geometric Algebra: Application to Color Image Denoising 13 Seeing the Invisible and Maxwell s Equations 14 A Generalized Windowed Fourier Transform in Real Clifford Algebra Cl_{0,n} 15 The Balian-Low theorem for the Windowed Clifford-Fourier Transform 16 Sparse Representation of Signals in Hardy Space. - Index