Instabilities in the optimal regularization parameter relating to image recovery problems

JW Hilgers, WR Reynolds - JOSA A, 1992 - opg.optica.org
The reconstruction of an object from an image formed by an idealized optical system is
considered. The problem is well known to be ill posed, and so Tikhonov regularization is …

Least squares image restoration

K Von Der Heide - Optics Communications, 1979 - Elsevier
A general approach to the image restoration problem is presented on the basis of the
method of least squares. Inverse filtering, minimum mean-square-error restoration …

Noise histogram regularization for iterative image reconstruction algorithms

ST Thurman, JR Fienup - JOSA A, 2007 - opg.optica.org
We derive a regularization term for iterative image reconstruction algorithms based on the
histogram of the residual difference between a forward-model image of a given object …

Probabilistic regularization in inverse optical imaging

E De Micheli, GA Viano - JOSA A, 2000 - opg.optica.org
The problem of object restoration in the case of spatially incoherent illumination is
considered. A regularized solution to the inverse problem is obtained through a probabilistic …

Model-based image reconstruction by means of a constrained least-squares solution

MC Roggemann, DW Tyler - Applied optics, 1997 - opg.optica.org
The problem of the optimal use of object model information in image reconstruction is
addressed. A closed-form solution for the estimated object spectrum is derived with the …

Maximum-probable restoration of photon-limited images

BR Frieden - Applied optics, 1987 - opg.optica.org
We define a computer algorithm for obtaining physically maximum-probable estimates of
incoherent object scenes from their photon-count imges. The aim is to combine Bayesian …

[引用][C] Application of the Tichonov regularization algorithm to object restoration

R Barakat, E Blackman - Optics Communications, 1973 - Elsevier
h(x)= ft(xs)o(s)ds. Page 1 ~.otumc 9, number 3 OPTICS COMMUNICATIONS November 1973
APPLICATION OF THE TICHONOV REGULARIZATION ALGORITHM TO OBJECT …

Image restoration and resolution enhancement

CL Byrne, RM Fitzgerald, MA Fiddy, TJ Hall… - JOSA, 1983 - opg.optica.org
The ill-posed problem of restoring object information from finitely many measurements of its
spectrum can be solved by using the best approximation in Hilbert spaces appropriately …

On the regularization of linear inverse problems in Fourier optics

M Bertero, C De Mol, GA Viano - … Problems: Lectures presented at the RCP …, 2005 - Springer
On the regularization of linear inverse problems in Fourier optics Page 1 ON THE
REGULARIZATION OF LINEAR INVERSE PROBLEMS IN FOURIER OPTICS M. Bertero , C. De …

Restoration of optical objects using regularization

M Bertero, C De Mol, GA Viano - Optics letters, 1978 - opg.optica.org
Using the regularization theory for improperly posed problems, we discuss object restoration
beyond the diffraction limit in the presence of noise. Only the case of one-dimensional …