78 citations · 113 across the 4 of their papers we have counts for
5 papers
On asymptotic structure in compressed sensing
Bogdan Roman, Anders Hansen, Ben Adcock
This paper demonstrates how new principles of compressed sensing, namely asymptotic incoherence, asymptotic sparsity and multilevel sampling, can be utilised to better understand u…
The quest for optimal sampling: Computationally efficient, structure-exploiting measurements for compressed sensing
Ben Adcock, Anders C. Hansen, Bogdan Roman
An intriguing phenomenon in many instances of compressed sensing is that the reconstruction quality is governed not just by the overall sparsity of the signal, but also on its stru…
A note on compressed sensing of structured sparse wavelet coefficients from subsampled Fourier measurements
Ben Adcock, Anders C. Hansen, Bogdan Roman
This note complements the paper "The quest for optimal sampling: Computationally efficient, structure-exploiting measurements for compressed sensing" [2]. Its purpose is to present…
Generalized sampling: stable reconstructions, inverse problems and compressed sensing over the continuum
Ben Adcock, Anders Hansen, Bogdan Roman +1
The purpose of this paper is to report on recent approaches to reconstruction problems based on analog, or in other words, infinite-dimensional, image and signal models. We describ…
Breaking the coherence barrier: A new theory for compressed sensing
Ben Adcock, Anders C. Hansen, Clarice Poon +1
This paper provides an extension of compressed sensing which bridges a substantial gap between existing theory and its current use in real-world applications. It introduces a mathe…