Early pioneering work on digital holography or computer-generated holograms (CGHs) was proposed by Goodman and Lawrence (Appl Phys Lett 11:77–79, 1967) and Lohmann and Paris (Appl Opt 6:1739–1748, 1967), and numerical hologram reconstruction was initiated by Kronrod and Yaroslavsky (Sov Phys Tech 17:329–332, 1972) in the early 1970s, followed by many other authors. Improved reconstructed images from CGH are obtained using an iterative operation (Nagashima in Opt Laser Tech 18:157–162, 1986). Recently, the possibilities of reconstructing the hologram structure and image from a digitally recorded speckle-gram without a reference beam have been considered separately by Hamed (Opt Eng 50:1–7, 2011) and Gorbatenko et al. (Opt Spectrosc 106:281–287, 2009). Additionally, improved reconstructed images from digital Fourier holograms have been attained using the superposition of reconstructed images obtained at multiple wavelengths (Takanori and Mitsukiyo in Appl Opt 47:D38–D43, 2008) and separately using two-step quadratic phase-shifting holography (Liu and Poon in Opt Lett 34:250–252, 2009), where neither the reference-wave intensity nor an object-wave intensity measurement is needed.