Title
Exact solutions to Super Resolution on semi-algebraic domains in higher dimensions.
Abstract
We investigate the multi-dimensional super resolution problem on closed semi-algebraic domains for various sampling schemes such as Fourier or moments. We present a new semidefinite programming (SDP) formulation of the l1-minimization in the space of Radon measures in the multi-dimensional frame on semi-algebraic sets. While standard approaches have focused on SDP relaxations of the dual program (...
Year
DOI
Venue
2015
10.1109/TIT.2016.2619368
IEEE Transactions on Information Theory
Keywords
Field
DocType
Compressed sensing,Image resolution,Standards,Image reconstruction,Programming,Minimization,Radon
Mathematical optimization,Algebraic number,Fourier transform,Minification,Sampling (statistics),Gramian matrix,Superresolution,Mathematics,Semidefinite programming
Journal
Volume
Issue
ISSN
63
1
0018-9448
Citations 
PageRank 
References 
8
0.49
15
Authors
4
Name
Order
Citations
PageRank
Yohann de Castro1286.39
Fabrice Gamboa280.49
Didier Henrion3231.61
Jean B. Lasserre480.49