The aim of this paper is to improve the convergence rate of frame algorithm based on Richardson iteration and Chebyshev methods. Based on Richardson iteration method, we first square the existing convergence rate of frame algorithm which in turn the number of iterations would be bisected and increased speed of convergence is achieved. Afterward, by using Chebyshev polynomials, we improve this s...

Following the Bayesian paradigm for image restoration we show how smoothness constraints can be incorporated into the R-L method. We also examine different noise models and study their approximation by Gaussian models that are robust to detector errors.

Two approaches to the combination of robust variational deconvolution with positivity constraints are considered. The first approach modifies a standard robust variational deconvolution method by carrying out a gradient descent with respect to a multiplicative perturbation, which can also be considered as gradient descent in a hyperbolic metric. The second approach is based on the representatio...

Image deconvolution is an effective image restoration technique to improve the quality of digital microscopic images resulting from out-of-focus blur. To solve the severely ill-posed problem of traditional Richardson–Lucy method, considering the point spread difference of various directions, a new microscope image restoration method based on multiple defocused images of different aperture is pr...

This appendix outlines some of the more prevalent techniques for controlling and for detecting common method bias. These include (1) Harman’s single factor test (Podsakoff et al. 2003), (2) partial correlation technique (Podsakoff et al. 2003), (3) multitrait–multimethod (MMTM) (Shadish et al. 2002), (4) the correlation marker technique, (5) confirmatory factor analysis (CFA) marker technique (...

Amodification of theRichardson-Lucy iteration that reduces noise amplification in restored images is described.

We present an adaptively accelerated Lucy-Richardson (AALR) method for the restoration of an image from its blurred and noisy version. The conventional Lucy-Richardson (LR) method is nonlinear and therefore its convergence is very slow. We present a novel method to accelerate the existing LR method by using an exponent on the correction ratio of LR. This exponent is computed adaptively in each ...