E-book
Quaternion and Clifford Fourier Transforms and Wavelets [electronic resource] / edited by Eckhard Hitzer, Stephen J. Sangwine.
Record details
- ISBN: 9783034806039
- Physical Description: XXVII, 338 p. 76 illus., 44 illus. in color. online resource.
- Publisher: Basel : Springer Basel : 2013.
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Electronic resources
| 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 Bochnerâs 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 Maxwellâs 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. |
