High-resolution image recovery from image-plane arrays, using convex projections
Journal of the Optical Society of America APublished 1 November 1989
Henry Stark, Peyma Oskoui
Citations721
SJR quartileQ2
SJR score0.38
SNIP0.80
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
It is shown that readily obtained prior knowledge can be used to obtain good-quality imagery with reduced data and the effect of noise on the reconstruction process is considered.
Abstract
We consider the problem of reconstructing remotely obtained images from image-plane detector arrays. Although the individual detectors may be larger than the blur spot of the imaging optics, high-resolution reconstructions can be obtained by scanning or rotating the image with respect to the detector. As an alternative to matrix inversion or least-squares estimation [Appl. Opt. 26, 3615 (1987)], the method of convex projections is proposed. We show that readily obtained prior knowledge can be used to obtain good-quality imagery with reduced data. The effect of noise on the reconstruction process is considered.
Keywords
Computer ScienceMedicineEngineering
Remote Sensing Digital Image Analysis
2,700 Citations2005John A. Richards, Xiuping Jia
IEEE Transactions on Nuclear ScienceThe Fourier reconstruction of a head section
2,168 Citations1974L. A. Shepp, B. F. Logan
The authors compare the Fourier algorithm and a search algorithm using a simulated phantom to speed the search algorithm by using fewer interactions leaves decreased resolution in the region just inside the skull which could mask a subdural hematoma.
IEEE Transactions on Circuits and SystemsA new algorithm in spectral analysis and band-limited extrapolation
1,058 Citations1975A. Papoulis
A new algorithm is proposed for computing the transform of a band-limited function using only the fast Fourier transform (FFT) and it is shown that they can be controlled by early termination of the iteration.
IEEE Transactions on Medical ImagingImage Restoration by the Method of Convex Projections: Part 1ߞTheory
1,021 Citations1982Dante C. Youla, H. Webb
This paper exploits the properties of projection operators Pi onto a closed convex set in Hilbert space to develop several iterative algorithms for image restoration from partial data which permit any number of nonlinear constraints of a certain type to be subsumed automatically.
Optica Acta International Journal of OpticsSuper-resolution through Error Energy Reduction
980 Citations1974R.W. Gerchberg
A computational procedure is devised which must reduce a defined ‘error energy’ which is implicit in the truncated spectrum and it is demonstrated that by so doing, resolution well beyond the diffraction limit is attained.
Journal of the Optical Society of AmericaIterative convolution backprojection algorithms for image reconstruction from limited data
145 Citations1983Barry P. Medoff, William R. Brody +2 more
A new operator framework is presented that treats all types of limited-data image-reconstruction problems in a unified way and derives iterative convolution backprojection algorithms that make no restrictions on the location of missing line integrals.
IEEE Transactions on Medical ImagingTomographic Image Reconstruction from Incomplete View Data by Convex Projections and Direct Fourier Inversion
129 Citations1984M. Ibrahim Sezan, Henry Stark
An algorithm is designed and applied which interpolates/extrapolates the missing Fourier domain information by POCS and reconstructs an image by DFM and a simulated human thorax cross section is restored and reconstructed.
Journal of Mathematical Analysis and ApplicationsAn iterative method for the extrapolation of band-limited functions
121 Citations1981Arnold Lent, Heang K. Tuy
IEEE Transactions on Medical ImagingTomographic image reconstruction using the theory of convex projections
104 Citations1988Peyma Oskoui-Fard, H. Stärk
It is shown that a special set of convex projections duplicates the result of the algebraic reconstruction technique (ART), and use of a priori information enhances the quality of the results, especially when partial data have been used, in which case ART fails.
Applied OpticsImage reconstruction from multiple 1-D scans using filtered localized projection
16 Citations1987B. Roy Frieden, Hartmut H. Aumann
The method of filtered localized projection (FLP) is applied, using a linear array, to simulated data for staggered parallel scans and to multiple scan directions and effects of noise and limitations of the approach are discussed.
Journal of the Optical Society of AmericaConcatenation of characteristic functions in Hamiltonian optics
8 Citations1982Mark Andrews