75 citations · 211 across the 27 of their papers we have counts for
6 papers · 1 filter
Beyond Wiener's Lemma: Nuclear Convolution Algebras and the Inversion of Digital Filters
Julien Fageot, Michael Unser, John Paul Ward
A convolution algebra is a topological vector space that is closed under the convolution operation. It is said to be inverse-closed if each element of w…
Angular Accuracy of Steerable Feature Detectors
Zsuzsanna Püspöki, Arash Amini, Julien Fageot +2
The detection of landmarks or patterns is of interest for extracting features in biological images. Hence, algorithms for finding these keypoints have been extensively investigated…
Compactly-Supported Smooth Interpolators for Shape Modeling with Varying Resolution
Daniel Schmitter, Julien Fageot, Anaïs Badoual +2
In applications that involve interactive curve and surface modeling, the intuitive manipulation of shapes is crucial. For instance, user interaction is facilitated if a geometrical…
The Domain of Definition of the Lévy White Noise
Julien Fageot, Thomas Humeau
It is possible to construct Lévy white noises as generalized random processes in the sense of Gel'fand and Vilenkin, or as an independently scattered random measures introduced by…
Gaussian and Sparse Processes Are Limits of Generalized Poisson Processes
Julien Fageot, Virginie Uhlmann, Michael Unser
The theory of sparse stochastic processes offers a broad class of statistical models to study signals. In this framework, signals are represented as realizations of random processe…
The n-term Approximation of Periodic Generalized Lévy Processes
Julien Fageot, Michael Unser, John Paul Ward
In this paper, we study the compressibility of random processes and fields, called generalized Lévy processes, that are solutions of stochastic differential equations driven by …