Improved depth resolution by single-exposure in-line compressive holography

Abstract

A single-exposure in-line (SEOL) holography is a digital holographic setup that has been used in the study of cell identification. In this paper we demonstrate improved three-dimensional performance of the SEOL holography setup by applying the principles of the recently introduced compressive-sensing theory. This, along with proper modeling of the sensing process, enables improved depth-resolution features, especially when considering noisy environments. We then study and demonstrate that by using the proper reference and object-beam amplitude partition, the compressive SEOL holography setup is found to be almost ideal. This occurs since it allows the recovery of low-signal-to-noise-ratio objects and rapid acquisition rate associated with the off-axis holography setup, combined with the high resolution and field of view associated with the in-line holography setup.

Experimental evaluation of inline free-space holography systems

“…When r 1, we obtain a maximum value for the term C, which indicates that the intensity of reference wave and the object wave should be the same, to achieve the highest accuracy with minimum influence of shot noise, in keeping with the theoretical results presented here [35][36][37]. In order to experimentally prove the argument above, we again contrast the recovered intensity and direct measured intensity as we did in Fig.…”

Hurdles in the implementation of compressive sensing for imaging and ways to overcome them

“…25 it is also explained that in the particular case of Fresnel holography the random sampling density should be patterned rather than uniformly distributed over the sensor plane. Compressive Fresnel holography was used for imaging behind occluded objects 26 and for improved focusing in digital holographic microscopy 27 . For reviews on compressive digital holography theory and applications the reader is referred to Refs.…”

Optimization of the object function matrix to improve the reconstruction speed and quality in compressive holography

“…Subsequently, compressive holography was introduced in different applications such as in-line digital holography [9,10], off-axis digital holography [11][12][13] and 4f amplified in-line holography [14] and has been used for different goals including the construction of the two live water cyclopses [15], partially occluded object recovery [16] and multiple-image encryption [17,18]. Compared with traditional back-propagation reconstruction in digital holography, compressive holography reconstruction can improve the axial resolution and quality of the reconstructed image [19][20][21].…”