Nonlinear Spectral Analysis via One-homogeneous Functionals - Overview and Future Prospects
October 05, 2015 Β· Declared Dead Β· π Journal of Mathematical Imaging and Vision
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Authors
Guy Gilboa, Michael Moeller, Martin Burger
arXiv ID
1510.01077
Category
math.SP
Cross-listed
cs.CV,
math.NA
Citations
31
Venue
Journal of Mathematical Imaging and Vision
Last Checked
3 months ago
Abstract
We present in this paper the motivation and theory of nonlinear spectral representations, based on convex regularizing functionals. Some comparisons and analogies are drawn to the fields of signal processing, harmonic analysis and sparse representations. The basic approach, main results and initial applications are shown. A discussion of open problems and future directions concludes this work.
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