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. INDICE: 1 Introduction 2 2 Quaternion Algebra 2 2.1 De nitions 2 2.2 Properties 2 2.3 Representations 2 2.4 Sub elds 2 2.5 Factorizations 2 3 Geometric Applications 2 3.1 Euclidian Geometry (3D and 4D) 3 3.2 Spherical Geometry 3 3.3 Projective Space (3D) 3 4 Quaternion Fourier Transforms 3 4.1 De nitions 3 4.2 Properties 3 4.3 Inter–relationships between forms 3 4.4 Operator Formulas (i.e, operator pairs) 3 4.5 Computational aspects 3 5 Signal and Image Processing 4 5.1 Generalized Convolution 4 5.2 Generalized Correlation 4 5.3 Hypercomplex extension 4 5.4 Quaternion spectral analysis of non–stationary improper complex signals 4
- ISBN: 978-1-84821-478-1
- Editorial: ISTE Ltd.
- Encuadernacion: Cartoné
- Páginas: 144
- Fecha Publicación: 02/06/2014
- Nº Volúmenes: 1
- Idioma: Inglés