Open AccessAnalysis and reduction of errors caused by Poisson noise for phase diversity technique
Author(s) -
Hongli Yu,
Chengliang Yang,
Zihao Xu,
Peiguang Zhang,
Huanyu Xu,
Zhaoliang Cao,
Quanquan Mu,
Xuan Li
Publication year - 2016
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.24.022034
Subject(s) - noise reduction , mean squared error , optics , noise (video) , sensitivity (control systems) , phase (matter) , poisson distribution , algorithm , preprocessor , root mean square , signal to noise ratio (imaging) , wavefront , reduction (mathematics) , range (aeronautics) , computer science , phase retrieval , mathematics , statistics , physics , artificial intelligence , materials science , fourier transform , image (mathematics) , electronic engineering , geometry , composite material , quantum mechanics , engineering , mathematical analysis
An effective method for reducing the sensitivity of phase diversity (PD) technique to Poisson noise is proposed. The denoising algorithm based on blocking-matching and 3D filtering is first introduced in the wavefront sensing field as a preprocessing stage. Then, the PD technique is applied to the denoised images. Results of the numerical simulations and experiments demonstrate that our approach is better than the traditional PD technique in terms of both the root-mean-square error (RMSE) of phase estimates and the structural similarity index metrics (SSIM). The RMSEs of phase estimates on synthetic data are decreased by approximately 40% across noise levels within the range of 58.7-18.8 dB in terms of peak signal-to-noise ratio (PSNR). Meanwhile, the overall decline range of SSIM is significantly decreased from 49% to 9%. The experiment and simulation results are in good agreement. The approach may be widely used in various domains, such as the measurements of intrinsic aberrations in optical systems and compensations for atmospheric turbulence.