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Department of Pure Mathematics and Mathematical Statistics

Research Interests: Computational and statistical analysis for image and signal processing.

Publications

Sparse principal component analysis via axis-aligned random projections
M Gataric, T Wang, RJ Samworth
– Journal of the Royal Statistical Society: Series B (Statistical Methodology)
(2020)
82,
329
Characterizing Optical Fiber Transmission Matrices Using Metasurface Reflector Stacks for Lensless Imaging without Distal Access
GSD Gordon, M Gataric, AGCP Ramos, R Mouthaan, C Williams, J Yoon, TD Wilkinson, SE Bohndiek
– Physical Review X
(2019)
91,
041050
Reconstruction of optical vector-fields with applications in endoscopic imaging
M Gataric, GSD Gordon, F Renna, AGCP Ramos, MP Alcolea, SE Bohndiek
– IEEE Trans. Med. Imaging
(2019)
38,
955
Density Theorems for Nonuniform Sampling of Bandlimited Functions Using Derivatives or Bunched Measurements
B Adcock, M Gataric, AC Hansen
– Journal of Fourier Analysis and Applications
(2017)
23,
1311
Computing reconstructions from nonuniform Fourier samples: Universality of stability barriers and stable sampling rates
B Adcock, M Gataric, JL Romero
– Applied and Computational Harmonic Analysis
(2017)
46,
226
Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples
B Adcock, M Gataric, AC Hansen
– Applied and Computational Harmonic Analysis
(2017)
42,
508
Practical guide to the recovery of wavelet coefficients from fourier measurements
M Gataric, C Poon
– SIAM Journal on Scientific Computing
(2016)
38,
a1075
Stable nonuniform sampling with weighted Fourier frames and recovery in arbitrary spaces
B Adcock, M Gataric, AC Hansen
– 2015 INTERNATIONAL CONFERENCE ON SAMPLING THEORY AND APPLICATIONS (SAMPTA)
(2015)
105
Recovering piecewise smooth functions from nonuniform fourier measurements
B Adcock, M Gataric, AC Hansen
(2015)
106,
117
On Stable Reconstructions from Nonuniform Fourier Measurements.
B Adcock, M Gataric, A Hansen
– SIAM J. Imaging Sciences
(2014)
7,
1690
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