1 December 2008 Image restoration based on generalized minimal residual methods with antireflective boundary conditions in a wavefront coding system
Author Affiliations +
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.
© (2008) Society of Photo-Optical Instrumentation Engineers (SPIE)
Qin-Xiao Liu, Ting-yu Zhao, Wen-zi Zhang, Fei-hong Yu, "Image restoration based on generalized minimal residual methods with antireflective boundary conditions in a wavefront coding system," Optical Engineering 47(12), 127005 (1 December 2008). https://doi.org/10.1117/1.3050348 . Submission:
JOURNAL ARTICLE
5 PAGES


SHARE
Back to Top