Quaternion Fourier Transforms for Signal and Image Processing.
Title:
Quaternion Fourier Transforms for Signal and Image Processing.
Author:
Ell, Todd A.
ISBN:
9781118930922
Personal Author:
Edition:
1st ed.
Physical Description:
1 online resource (135 pages)
Contents:
Contents -- Title Page -- Copyright -- Nomenclature -- Preface -- Introduction -- I.1. Fourier analysis -- I.2. Quaternions -- I.3. Quaternion Fourier transforms -- I.4. Signal and image processing -- I.5. Other hypercomplex algebras -- I.6. Practical application -- I.7. Overview of the remaining chapters -- 1 Quaternion Algebra -- 1.1. Definitions -- 1.2. Properties -- 1.3. Exponential and logarithm of a quaternion -- 1.4. Representations -- 1.5. Powers of a quaternion -- 1.6. Subfields -- 2 Geometric Applications -- 2.1. Euclidean geometry (3D and 4D) -- 2.2. Spherical geometry -- 2.3. Projective space (3D) -- 3 Quaternion Fourier Transforms -- 3.1. 1D quaternion Fourier transforms -- 3.2. 2D quaternion Fourier transforms -- 3.3. Computational aspects -- 4 Signal And Image Processing -- 4.1. Generalized convolution -- 4.2. Generalized correlation -- 4.3. Instantaneous phase and amplitude of complex signals -- Bibliography -- Index.
Abstract:
Based on updates to signal and image processing technology made in the last two decades, this text examines the most recent research results pertaining to Quaternion Fourier Transforms. QFT is a central component of processing color images and complex valued signals. The book's attention to mathematical concepts, imaging applications, and Matlab compatibility render it an irreplaceable resource for students, scientists, researchers, and engineers.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
Genre:
Electronic Access:
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