Abstract

One algorithm proposed for recovering an object’s Fourier phase from the phase of its bispectrum is the least-squares solution of the overdetermined system of equations that relate the Fourier and bispectrum phases. Although the least-squares technique is robust with respect to noise, it fails when the bispectrum phase is known only modulo 2π. A technique is presented for unwrapping the modulo 2π bispectrum; one can then obtain an accurate least-squares phase solution. Simulations that demonstrate the technique and test sensitivity to noise are given.

© 1990 Optical Society of America

Least-squares Fourier phase estimation from the modulo 2π bispectrum phase

Christopher A. Haniff
J. Opt. Soc. Am. A 8(1) 134-140 (1991)

Least-squares phase recovery from the bispectrum phase: an algorithm for a two-dimensional object

Hiroaki Takajo and Tohru Takahashi
J. Opt. Soc. Am. A 8(7) 1038-1047 (1991)

Weighted-least-squares phase reconstruction from the bispectrum

Charles L. Matson
J. Opt. Soc. Am. A 8(12) 1905-1913 (1991)

Modulo 2π fringe orientation angle estimation by phase unwrapping with a regularized phase tracking algorithm

Juan Antonio Quiroga, Manuel Servin, and Francisco Cuevas
J. Opt. Soc. Am. A 19(8) 1524-1531 (2002)

Least-squares Fourier phase estimation from the modulo 2π bispectrum phase: erratum

Christopher A. Haniff
J. Opt. Soc. Am. A 8(9) 1517-1517 (1991)