It is shown that a band-limited spectrum of a nonnegative object can be represented as the autoconvolution of a spectrum whose cutoff frequency is half of the band limit. This permits spectral-magnitude-only reconstruction with a nonnegativity constraint without a support constraint. A magnitude-only reconstruction method using a conjugate-gradient procedure is developed and is investigated by computer simulations.
© 1996 Optical Society of America
Original Manuscript: January 16, 1996
Published: July 1, 1996
Noriaki Miura and Naoshi Baba, "Image reconstruction from spectral magnitude under a nonnegativity constraint," Opt. Lett. 21, 979-981 (1996)