@inbook{d83c2463230e4adfac142de55b86e07f,
title = "Five good reasons for complex-valued transforms in image processing",
abstract = "In 1946, Dennis Gabor introduced the analytic signal for one-dimensional signals. This complexification of functions gives access to their amplitude and phase information and has since then given well-interpretable insight into the properties of the signals over time. However, complex-valued transforms still have not found their place in image processing, except for the Fourier transform and the Gabor transform, which both have proven their performance in many contexts. In this chapter, we give five reasons to consider more general complex transforms for image analysis. We discuss the challenges and advantages of those transforms.",
keywords = "Clifford algebra, Digital holography, Image processing task, Multiresolution analysis, Wavelet coefficient",
author = "Brigitte Forster",
note = "Publisher Copyright: {\textcopyright} 2014, Springer International Publishing Switzerland.",
year = "2014",
doi = "10.1007/978-3-319-08801-3_15",
language = "English",
series = "Applied and Numerical Harmonic Analysis",
publisher = "Springer International Publishing",
number = "9783319088006",
pages = "359--381",
booktitle = "Applied and Numerical Harmonic Analysis",
edition = "9783319088006",
}