Quaternion Fourier Transforms for Signal and Image Processing\n\nTodd A. Ell (Author), Nicolas Le Bihan (Author), Stephen J. Sangwine (Author)\n\n9781848214781, Wiley\n\nHardback, published 23 May 2014\n\n160 pages\n24.1 x 16.3 x 2 cm, 0.44 kg\n\nBased 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\u2019s attention to mathematical concepts, imaging applications, and Matlab compatibility render it an irreplaceable resource for students, scientists, researchers, and engineers.\n\nNomenclature ix \nPreface xi \nIntroduction xiii \nChapter 1. Quaternion algebra 1 \n1.1. Definitions 1 \n1.2. Properties 2 \n1.3. Exponential and logarithm of a quaternion 7 \n1.3.1. Exponential of a pure quaternion 7 \n1.3.2. Exponential of a full quaternion 9 \n1.3.3. Logarithm of a quat]