Share Email Print
cover

Optical Engineering

Image restoration based on generalized minimal residual methods with antireflective boundary conditions in a wavefront coding system
Author(s): Qin-Xiao Liu; Ting-yu Zhao; Wen-zi Zhang; Fei-hong Yu
Format Member Price Non-Member Price
PDF $20.00 $25.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

The point spread function (PSF) is asymmetric in a wavefront coding (WFC) system with cubic phase mask (CPM). The image formation of the WFC system is described as the generalized Sylvester matrix equation. With Tikhonov regularization, a global generalized minimal residual method (Gl-GMRES) algorithm is used to obtain the restored sharp image. For this large-scale, linear, and discrete, ill-posed problem, we introduce a Kronecker product approximation of the blurring operator to reduce the computation consumption. To eliminate ringing effect, four boundary conditions (BCs) are considered in the image restoration: periodic BCs, zero BCs, reflective BCs, and antireflective BCs. Analysis and numerical results show that the antireflective BCs provide better results than others. The experiment results show that the Gl-GMRES algorithm with antireflective BCs is more effective than the classic Wiener filter.

Paper Details

Date Published: 1 December 2008
PDF: 5 pages
Opt. Eng. 47(12) 127005 doi: 10.1117/1.3050348
Published in: Optical Engineering Volume 47, Issue 12
Show Author Affiliations
Qin-Xiao Liu, Zhejiang Univ. (China)
Ting-yu Zhao, Zhejiang Univ. (China)
Wen-zi Zhang, Zhejiang Univ. (China)
Fei-hong Yu, Zhejiang Univ. (China)


© SPIE. Terms of Use
Back to Top