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...
Đã lưu trong:
| Tác giả khác: | , |
|---|---|
| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Phiên bản: | 1st ed. 2013. |
| Loạt: | Trends in Mathematics
|
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
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 |
| LEADER | 05230nam a22003737a 4500 | ||
|---|---|---|---|
| 001 | 946509 | ||
| 008 | 130704q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN170489272 | ||
| 020 | |a 9783034806039 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.7 | ||
| 245 | 0 | 0 | |a Quaternion and Clifford Fourier transforms and wavelets |c edited by Eckhard Hitzer, Stephen J. Sangwine. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Trends in Mathematics |x 2297-024X | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 transformations. The Clifford algebras unify Hamilton s quaternions with Grassmann algebra. A Clifford algebra is a complete algebra of a vector space and all its subspaces including the measurement of volumes and dihedral angles between any pair of subspaces. Quaternion and Clifford algebras permit the systematic generalization of many known concepts. This book provides comprehensive insights into current developments and applications including their performance and evaluation. Mathematically, it indicates where further investigation is required. For instance, attention is drawn to the matrix isomorphisms for hypercomplex algebras, which will help readers to see that software implementations are within our grasp. It also contributes to a growing unification of ideas and notation across the expanding field of hypercomplex transforms and wavelets. The first chapter provides a historical background and an overview of the relevant literature, and shows how the contributions that follow relate to each other and to prior work. The book will be a valuable resource for graduate students as well as for scientists and engineers | ||
| 700 | 1 | |a Hitzer, Eckhard. |4 pbd | |
| 700 | 1 | |a Sangwine, Stephen J., |c électronicien. |4 pbd | |
| 776 | 0 | |0 171518969 |t Quaternion and Clifford Fourier transforms and wavelets |f Eckhard Hitzer, Stephen J. Sangwine, editors |c Basel |n Birkhäuser |n Springer |d 2013 |p 1 vol. (XXVII-338 p.) |s Trends in mathematics |z 978-3-0348-0602-2 |b Texte imprimé | |
| 776 | 0 | |t Quaternion and Clifford Fourier Transforms and Wavelets |b Texte imprimé |z 9783034806046 | |
| 776 | 0 | |t Quaternion and Clifford Fourier Transforms and Wavelets |b Texte imprimé |z 9783034807777 | |
| 776 | 0 | |0 171518969 |t Quaternion and Clifford Fourier transforms and wavelets |f Eckhard Hitzer, Stephen J. Sangwine, editors |c Basel |n Birkhäuser |n Springer |d 2013 |p 1 vol. (XXVII-338 p.) |s Trends in mathematics |z 978-3-0348-0602-2 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-0348-0603-9 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-D2XMB358-C |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747829829 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-0348-0603-9 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750847158 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-0348-0603-9 |z Accès INSA CVL | |
| 997 | |0 946509 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||