title: Algorithm for reconstructing wide space-bandwidth information in parallel two-step phase-shifting digital holography.
abstract: We propose an image-reconstruction algorithm of parallel phase-shifting digital holography (PPSDH) which is a technique of single-shot phase-shifting interferometry. In the conventional algorithms in PPSDH, the residual 0th-order diffraction wave and the conjugate images cannot be removed completely and a part of space-bandwidth information is discarded. The proposed algorithm can remove these residual images by modifying the calculation of phase-shifting interferometry and by using Fourier transform technique, respectively. Then, several types of complex amplitudes are derived from a recorded hologram according to the directions in which the neighboring pixels used for carrying out the spatial phase-shifting interferometry are aligned. Several distributions are Fourier-transformed and wide space-bandwidth information of the object wave is obtained by selecting the spectrum among the Fourier-transformed images in each region of the spatial frequency domain and synthesizing a Fourier-transformed image from the spectrum.
authors.affiliation: Graduate School of Science and Technology, Kyoto Institute of Technology, Matsugasaki, Sakyo-ku, Kyoto, 606-8585, Japan.
authors.forename: Tatsuki
authors.initials: T
authors.lastname: Tahara
authors.forename: Yuki
authors.initials: Y
authors.lastname: Shimozato
authors.forename: Peng
authors.initials: P
authors.lastname: Xia
authors.forename: Yasunori
authors.initials: Y
authors.lastname: Ito
authors.forename: Yasuhiro
authors.initials: Y
authors.lastname: Awatsuji
authors.forename: Kenzo
authors.initials: K
authors.lastname: Nishio
authors.forename: Shogo
authors.initials: S
authors.lastname: Ura
authors.forename: Osamu
authors.initials: O
authors.lastname: Matoba
authors.forename: Toshihiro
authors.initials: T
authors.lastname: Kubota
mesh_terms: D000465:Algorithms; D006696:Holography / Q000379:methods*; D007089:Image Enhancement / Q000379:methods; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D007368:Interferometry / Q000379:methods*; D012815:Signal Processing, Computer-Assisted