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Quaternion and Clifford Fourier Transforms and Wavelets

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Cover of 'Quaternion and Clifford Fourier Transforms and Wavelets'

Table of Contents

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    Book Overview
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    Chapter 1 Quaternion Fourier Transform: Re-tooling Image and Signal Processing Analysis
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    Chapter 2 The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations
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    Chapter 3 Quaternionic Spectral Analysis of Non-Stationary Improper Complex Signals
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    Chapter 4 Quaternionic Local Phase for Low-level Image Processing Using Atomic Functions
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    Chapter 5 Bochner’s Theorems in the Framework of Quaternion Analysis
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    Chapter 6 Bochner–Minlos Theorem and Quaternion Fourier Transform
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    Chapter 7 Square Roots of –1 in Real Clifford Algebras
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    Chapter 8 A General Geometric Fourier Transform
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    Chapter 9 Clifford–Fourier Transform and Spinor Representation of Images
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    Chapter 10 Analytic Video (2D + t) Signals Using Clifford–Fourier Transforms in Multiquaternion Grassmann–Hamilton–Clifford Algebras
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    Chapter 11 Generalized Analytic Signals in Image Processing: Comparison, Theory and Applications
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    Chapter 12 Colour Extension of Monogenic Wavelets with Geometric Algebra: Application to Color Image Denoising
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    Chapter 13 Seeing the Invisible and Maxwell’s Equations
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    Chapter 14 A Generalized Windowed Fourier Transform in Real Clifford Algebra Cl 0,n
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    Chapter 15 The Balian–Low Theorem for the Windowed Clifford–Fourier Transform
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    Chapter 16 Sparse Representation of Signals in Hardy Space
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