Abstract
Super-resolution is an important goal of many image acquisition systems. Here we demonstrate the possibility of achieving super-resolution with a single exposure by combining the well known optical scheme of double random phase encoding which has been traditionally used for encryption with results from the relatively new and emerging field of compressive sensing. It is shown that the proposed model can be applied for recovering images from a general image degrading model caused by both diffraction and geometrical limited resolution.
Highlights
Super resolution (SR) is being considered as one of the “holy grails” of optical imaging and image processing
It is evident that the Double random phase encoding (DRPE)-compressive sensing (CS) method resolves almost perfectly the finest details that are obviously lost with conventional imaging systems
We have shown that the well known double random phase encoding architecture which has been traditionally used for optical security can be successfully used for a new application, that is, super-resolution with a single exposure
Summary
Super resolution (SR) is being considered as one of the “holy grails” of optical imaging and image processing. The resolution of an imaging system is limited by its optical subsystem and by its digital sensing subsystem. Compressive sensing theory breaks the ShannonNyquist sampling paradigm by utilizing the fact that the image is sparse in some arbitrary representation basis Our approach permits both diffraction and geometrical SR. Double random phase encoding (DRPE) was originally developed for optical security [8]. We shall show that the DRPE process allows us to create a single exposure compressive imaging scheme, with lateral resolution gain. This is due to the fact that it implements a universal CS scheme, as demonstrated
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