title: Applications of fractional transforms to object reconstruction from in-line holograms.
abstract: We propose a method for the digital reconstruction of an object whose diffraction pattern has been recorded on a hologram. The fractional Fourier transform is used for the object reconstruction. To determine the position of the object, the fractional order is scanned. The fractional cosine and fractional Hartley transforms are also employed for object reconstruction. These two transforms are real valued and allow the reconstruction to be done with lower computing complexity. Simulations and experimental results are presented.
authors.affiliation: Department of Physics, Capital Normal University, Beijing 100037, China. yz7254@hotmail.com
authors.forename: Yan
authors.initials: Y
authors.lastname: Zhang
authors.forename: Giancarlo
authors.initials: G
authors.lastname: Pedrini
authors.forename: Wolfgang
authors.initials: W
authors.lastname: Osten
authors.forename: Hans J
authors.initials: HJ
authors.lastname: Tiziani