Open AccessEnhancing diffraction-limited images using properties of the point spread function
Author(s) -
Alex Small,
Ilko K. Ilev,
Victor Chernomordik,
Amir Gandjbakhche
Publication year - 2006
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.14.003193
Subject(s) - point spread function , diffraction , optics , pixel , tikhonov regularization , image resolution , point (geometry) , ptychography , computer science , physics , algorithm , inverse problem , mathematics , geometry , mathematical analysis
We propose an algorithm to enhance diffraction-limited images based on pixel-to-pixel correlations introduced by the finite width of the Point Spread Function (PSF). We simulate diffraction-limited images of point sources by convolving the PSF of a diffraction-limited lens with simulated images, and enhance the blurred images with our algorithm. Our algorithm reduces the PSF width, increases the contrast, and reveals structure on a length scale half of that resolvable in the unenhanced image. Our enhanced images compare favorably with images enhanced by conventional Tikhonov regularization.