795 citations · 1.3k across the 32 of their papers we have counts for
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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…
On stable reconstructions from nonuniform Fourier measurements
Ben Adcock, Milana Gataric, Anders C. Hansen
We consider the problem of recovering a compactly-supported function from a finite collection of pointwise samples of its Fourier transform taking nonuniformly. First, we show that…
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…
Beyond consistent reconstructions: optimality and sharp bounds for generalized sampling, and application to the uniform resampling problem
Ben Adcock, Anders C. Hansen, Clarice Poon
Generalized sampling is a recently developed linear framework for sampling and reconstruction in separable Hilbert spaces. It allows one to recover any element in any finite-dimens…