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Blurring-Invariant Riemannian Metrics for Comparing Signals and Images
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BibTeX
@MISC{Zhang_blurring-invariantriemannian,
author = {Zhengwu Zhang and Eric Klassen and Anuj Srivastava},
title = {Blurring-Invariant Riemannian Metrics for Comparing Signals and Images},
year = {}
}
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Abstract
We propose a novel Riemannian framework for comparing signals and images in a manner that is invariant to their levels of blur. This framework uses a log-Fourier representation of signals/images in which the set of all possible Gaussian blurs of a signal, i.e. its orbits under semigroup action of Gaussian blur functions, is a straight line. Using a set of Riemannian metrics under which the group actions are by isometries, the orbits are compared via distances between orbits. We demonstrate this framework using a number of experimental results involving 1D signals and 2D images. 1.
