Closed-form object restoration from limited spatial and spectral information
- 1 November 1981
- journal article
- Published by Optica Publishing Group in Optics Letters
- Vol. 6 (11) , 522-524
- https://doi.org/10.1364/ol.6.000522
Abstract
Given only a portion of an arbitrary finite-energy [L2(−∞, ∞)] image and a portion of that image's spectrum, we present a closed-form method by which the entire image can be reconstructed. The algorithm is a basic augmentation of a recently proposed iterative restoration algorithm presented by Stark et al. [J. Opt. Soc. Am. 71, 635 (1981); Opt. Lett. 6, 259 (1981)]. Experimental results are presented.Keywords
This publication has 9 references indexed in Scilit:
- Closed form bandlimited image extrapolationApplied Optics, 1981
- Is it possible to restore an optical object from its low-pass spectrum and its truncated image?Optics Letters, 1981
- Restoration of arbitrary finite-energy optical objects from limited spatial and spectral informationJournal of the Optical Society of America, 1981
- Some mathematical considerations in dealing with the inverse problemIEEE Transactions on Antennas and Propagation, 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
- Discrete Hilbert transform filteringIEEE Transactions on Acoustics, Speech, and Signal Processing, 1977
- 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