Abstract

Howard’s minimum-negativity-constraint extrapolation algorithm is shown to be a special case of signal recovery by means of alternating convex set projections. Previously derived results in this richly developed field of analysis [ Appl. Opt. 25, 1670 ( 1986); J. Opt. Soc. Am. 71, 819 ( 1981)] are applied immediately to establish strong convergence for the extrapolation algorithm.

© 1988 Optical Society of America

Fast algorithm for implementing the minimum-negativity constraint for Fourier spectrum extrapolation. Part 2

Samuel J. Howard
Appl. Opt. 27(15) 3190-3196 (1988)

Convergence of electromagnetic field components across discontinuous permittivity profiles

Partha P. Banerjee and John M. Jarem
J. Opt. Soc. Am. A 17(3) 491-492 (2000)

Optical microscope tomography. II. Nonnegative constraint by a gradient-projection method

O. Nakamura, S. Kawata, and S. Minami
J. Opt. Soc. Am. A 5(4) 554-561 (1988)

Convergence of electromagnetic field components across discontinuous permittivity profiles: comment

Lifeng Li
J. Opt. Soc. Am. A 19(7) 1443-1444 (2002)

Fast algorithm for implementing the minimum-negativity constraint for Fourier spectrum extrapolation

Samuel J. Howard
Appl. Opt. 25(10) 1670-1675 (1986)