Abstract

Coded aperture imaging (CAI) methods offer multidimensional and multispectral imaging capabilities with minimal resources than what is needed in a lens-based direct imager. In the CAI method, the light diffracted from an object is modulated by a coded mask, and the resulting intensity distribution is recorded. Most of the CAI techniques involve two steps: the recording of the point spread function (PSF) and object intensity under identical conditions and with the same coded mask. The image of the object is reconstructed by computationally processing the PSF and object intensity. The above recording and reconstruction procedure precludes the introduction of special beam characteristics in imaging, such as a direct imager. In this study, a postprocessing approach is developed, where synthetic PSFs capable of introducing special beam characteristics when processed with the object intensity are generated using an iterative algorithm. The method is applied to generate edge-enhanced images in both CAI as well as Fresnel incoherent correlation holography methods.

Highlights

  • A point object is mounted in the object plane, and the light from it is modulated by a coded mask (CM), and the resulting intensity distribution—point spread function (IPSF )—is recorded

  • An object is mounted at the same location as the point object, and with the same CM and identical conditions, a second intensity distribution is recorded

  • This output was transferred to every recorded object point when the synthetic IPSF was cross-correlated with the object intensity distribution

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Summary

Introduction

In CAI, two steps are necessary for imaging. A point object is mounted in the object plane, and the light from it is modulated by a coded mask (CM), and the resulting intensity distribution—point spread function (IPSF )—is recorded. An object is mounted at the same location as the point object, and with the same CM and identical conditions, a second intensity distribution is recorded. The two intensity distributions are processed in a computer to reconstruct the object information. Shift-invariant system, the object intensity (IO ) can be expressed as a convolution of the object function O with the PSF, IO = O⊗IPSF , where ‘⊗’ is a 2D convolutional operator. The image reconstruction is carried out by a cross-correlation given as IR = IO *IPSF , where ‘*’ is a 2D correlational operator

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