Multi-dimensional Imaging

Chapter 4Multi-dimensional Imaging by Compressive Digital Holography

Yair Rivenson¹, Adrian Stern², Joseph Rosen¹ and Bahram Javidi³

¹Department of Electrical and Computer Engineering, Ben-Gurion University of the Negev, Israel

²Department of Electro-Optics Engineering, Ben-Gurion University of the Negev, Israel

³Department of Electrical and Computer Engineering, University of Connecticut, USA

4.1 Introduction

Unlike standard imaging, digital holography allows an indirect way to capture the complex field amplitude of a wavefront originating from an object. This provides three-dimensional (3D) information on the object recorded in a single two-dimensional (2D) recording device. Currently, digital holography is captured using a semiconductor based device and often reconstructed using numerical means on a computer. This type of holography is referred to as Digital Holography (DH) [1]. Digital holography is used in many areas including 3D imaging, digital holographic microscopy, aberration correction, holographic interferometry, and object surface and tomographic imaging.

During the last few years, holography was successfully combined with the rapidly growing signal acquisition-reconstruction scheme known as compressive sensing (CS) [2–5]. With introduction of CS, a theory that introduced a dramatic breakthrough in signal acquisition, implementations in optics were pursued. Shortly, research groups working on the implementation of the CS principle in optics realized that holography ...