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math.OC2020★ 10 cited
Adaptive Superresolution in Deconvolution of Sparse Peaks
Alexandra Koulouri, Pia Heins, Martin Burger
The aim of this paper is to investigate superresolution in deconvolution driven by sparsity priors. The observed signal is a convolution of an original signal with a continuous ker…
math.OC2014★ 4 cited
Locally Sparse Reconstruction Using the -Norm
Pia Heins, Michael Moeller, Martin Burger
This paper discusses the incorporation of local sparsity information, e.g. in each pixel of an image, via minimization of the -norm. We discuss the basic propertie…