80 citations · 103 across the 9 of their papers we have counts for
7 papers · 1 filter
Reconstruction of optical vector-fields with applications in endoscopic imaging
Milana Gataric, George S. D. Gordon, Francesco Renna +3
We introduce a framework for the reconstruction of the amplitude, phase and polarisation of an optical vector-field using calibration measurements acquired by an imaging device wit…
Computing reconstructions from nonuniform Fourier samples: Universality of stability barriers and stable sampling rates
Ben Adcock, Milana Gataric, José Luis Romero
We study the problem of recovering an unknown compactly-supported multivariate function from samples of its Fourier transform that are acquired nonuniformly, i.e. not necessarily o…
A practical guide to the recovery of wavelet coefficients from Fourier measurements
Milana Gataric, Clarice Poon
In a series of recent papers (Adcock, Hansen and Poon, 2013, Appl. Comput. Harm. Anal. 45(5):3132-3167), (Adcock, Gataric and Hansen, 2014, SIAM J. Imaging Sci. 7(3):1690-1723) and…
Density theorems for nonuniform sampling of bandlimited functions using derivatives or bunched measurements
Ben Adcock, Milana Gataric, Anders C. Hansen
We provide sufficient density condition for a set of nonuniform samples to give rise to a set of sampling for multivariate bandlimited functions when the measurements consist of po…
Recovering piecewise smooth functions from nonuniform Fourier measurements
Ben Adcock, Milana Gataric, Anders C. Hansen
In this paper, we consider the problem of reconstructing piecewise smooth functions to high accuracy from nonuniform samples of their Fourier transform. We use the framework of non…
Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples
Ben Adcock, Milana Gataric, Anders C. Hansen
In this paper, we consider the problem of recovering a compactly supported multivariate function from a collection of pointwise samples of its Fourier transform taken nonuniformly.…
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…