795 citations · 1.4k across the 64 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…
New exponential variable transform methods for functions with endpoint singularities
Ben Adcock, Mark Richardson
The focus of this article is the approximation of functions which are analytic on a compact interval except at the endpoints. Typical numerical methods for approximating such funct…
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…