Restoration of images of finite extent objects by a singular value decomposition technique
- 15 March 1982
- journal article
- Published by Optica Publishing Group in Applied Optics
- Vol. 21 (6) , 1073-1076
- https://doi.org/10.1364/ao.21.001073
Abstract
Extrapolation of the Fourier spectrum of an object of finite extent is treated as an algebraic restoration problem. Available samples of the spectrum or the image are modeled as arising due to a matrix transformation of the vector representing the object or the extrapolated part of the spectrum. A singular value decomposition of the matrix transformation is used to obtain a minimum norm estimate for the object. Simulation results for 1-D objects are presented.Keywords
This publication has 10 references indexed in Scilit:
- Restoration of arbitrary finite-energy optical objects from limited spatial and spectral informationJournal of the Optical Society of America, 1981
- Method for continuing Fourier spectra given by the fast Fourier transformJournal of the Optical Society of America, 1981
- Generalized Image Restoration by the Method of Alternating Orthogonal ProjectionsIEEE Transactions on Circuits and Systems, 1978
- An approach to band-limited signal extrapolation: The extrapolation matrixIEEE Transactions on Circuits and Systems, 1978
- A new algorithm in spectral analysis and band-limited extrapolationIEEE Transactions on Circuits and Systems, 1975
- Super-resolution through Error Energy ReductionOptica Acta: International Journal of Optics, 1974
- Restoration, Resolution, and NoiseJournal of the Optical Society of America, 1968
- Object Restoration in a Diffraction-Limited Imaging System*Journal of the Optical Society of America, 1966
- Image Evaluation and Restoration*†Journal of the Optical Society of America, 1966
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IBell System Technical Journal, 1961