Unified Convex Optimization Approach to Super-Resolution Based on Localized Kernels
Information Theory
2015-04-14 v3 math.IT
Abstract
The problem of resolving the fine details of a signal from its coarse scale measurements or, as it is commonly referred to in the literature, the super-resolution problem arises naturally in engineering and physics in a variety of settings. We suggest a unified convex optimization approach for super-resolution. The key is the construction of an interpolating polynomial based on localized kernels. We also show that the localized kernels act as the connecting thread to another wide-spread problem of stream of pulses.
Cite
@article{arxiv.1501.01825,
title = {Unified Convex Optimization Approach to Super-Resolution Based on Localized Kernels},
author = {Tamir Bendory and Shai Dekel and Arie Feuer},
journal= {arXiv preprint arXiv:1501.01825},
year = {2015}
}