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CORR
2011
Springer

Sparsity based sub-wavelength imaging with partially incoherent light via quadratic compressed sensing

7 years 9 months ago
Sparsity based sub-wavelength imaging with partially incoherent light via quadratic compressed sensing
: We demonstrate that sub-wavelength optical images borne on partially-spatially-incoherent light can be recovered, from their far-field or from the blurred image, given the prior knowledge that the image is sparse, and only that. The reconstruction method relies on the recently demonstrated sparsity-based sub-wavelength imaging. However, for partially-spatially-incoherent light, the relation between the measurements and the image is quadratic, yielding non-convex measurement equations that do not conform to previously used techniques. Consequently, we demonstrate new algorithmic methodology, referred to as quadratic compressed sensing, which can be applied to a range of other problems involving information recovery from partial correlation measurements, including when the correlation function has local dependencies. Specifically for microscopy, this method can be readily extended to white light microscopes with the additional knowledge of the light source spectrum. ©2011 Optical Soci...
Yoav Shechtman, Yonina C. Eldar, Alexander Szameit
Added 19 Aug 2011
Updated 19 Aug 2011
Type Journal
Year 2011
Where CORR
Authors Yoav Shechtman, Yonina C. Eldar, Alexander Szameit, Mordechai Segev
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