| Description |
1 online resource (xxvii, 338 pages) : illustrations |
| Series |
Trends in mathematics |
|
Trends in mathematics.
|
| Contents |
Quaternions. Quaternion Fourier Transform: Re-tooling Image and Signal Processing Analysis / Todd Anthony Ell -- The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations / Eckhard Hitzer, Stephen J. Sangwine -- Quaternionic Spectral Analysis of Non-Stationary Improper Complex Signals / Nicolas Le Bihan, Stephen J. Sangwine -- Quaternionic Local Phase for Low-level Image Processing Using Atomic Functions / E. Ulises Moya-Sánchez, E. Bayro-Corrochano -- Bochner's Theorems in the Framework of Quaternion Analysis / S. Georgiev, J. Morais -- Bochner-Minlos Theorem and Quaternion Fourier Transform / S. Georgiev [and others] |
|
Clifford Algebra. Square Roots of -1 in Real Clifford Algebras / Eckhard Hitzer, Jacques Helmstetter, Rafał Abłamowicz -- A General Geometric Fourier Transform / Roxana Bujack, Gerik Scheuermann, Eckhard Hitzer -- Clifford-Fourier Transform and Spinor Representation of Images / Thomas Batard, Michel Berthier -- Analytic Video (2D + t) Signals Using Clifford-Fourier Transforms in Multiquaternion Grassmann-Hamilton-Clifford Algebras / P.R. Girard [and others] -- Generalized Analytic Signals in Image Processing: Comparison, Theory and Applications / Swanhild Bernstein [and others] -- Colour Extension of Monogenic Wavelets with Geometric Algebra: Application to Color Image Denoising / Raphaël Soulard, Philippe Carré -- Seeing the Invisible and Maxwell's Equations / Swanhild Bernstein -- A Generalized Windowed Fourier Transform in Real Clifford Algebra Cl 0,n / Mawardi Bahri -- The Balian-Low Theorem for the Windowed Clifford-Fourier Transform / Yingxiong Fu, Uwe Kähler, Paula Cerejeiras -- Sparse Representation of Signals in Hardy Space / Shuang Li, Tao Qian |
| Summary |
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 book provides comprehensive insights into current developments and applications including their performance and evaluation |
| Analysis |
Mathematics |
|
Computer vision |
|
Matrix theory |
|
Fourier analysis |
|
Numerical analysis |
|
Number theory |
| Notes |
Also has print version |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed July 9, 2013) |
| Subject |
Quaternions.
|
|
Clifford algebras.
|
|
Fourier analysis.
|
|
Wavelets (Mathematics)
|
|
Mathematical Concepts
|
|
Fourier Analysis
|
|
MATHEMATICS -- Algebra -- Linear.
|
|
Cuaterniones
|
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Álgebras de Clifford
|
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Análisis de Fourier
|
|
Ondículas
|
|
Clifford algebras
|
|
Fourier analysis
|
|
Quaternions
|
|
Wavelets (Mathematics)
|
| Form |
Electronic book
|
| Author |
Hitzer, Eckhard
|
|
Sangwine, Stephen
|
| ISBN |
9783034806039 |
|
3034806035 |
|
