Proceedings ArticleDOI
Space object imaging through the turbulent atmosphere
James R. Fienup
- Vol. 0149, pp 72-81
TLDR
In this paper, an image processing technique that uses interferometer data (the modulus of the Fourier transform) to reconstruct diffraction limited images is discussed, which is an iterative method that finds a real, non-negative object that agrees with the modulus data.Abstract:
For telescopes operating at optical wavelengths, the turbulence of the atmosphere limits the resolution of space objects to about one second of arc, although the diffraction limit of the largest telescopes is many times as fine. We discuss an image processing technique that uses interferometer data (the modulus of the Fourier transform) to reconstruct diffraction limited images. Data from a stellar speckle interferometer or from an amplitude interferometer can be used. The processing technique is an iterative method that finds a real, non-negative object that agrees with the Fourier modulus data. For complicated two-dimensional objects, the solutions found by this technique are surprisingly unique. New results are shown for simulated speckle interferometer data having realistic noise present.© (1978) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.read more
Citations
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Journal ArticleDOI
Phase-retrieval stagnation problems and solutions
James R. Fienup,C. C. Wackerman +1 more
TL;DR: The iterative Fourier-transform algorithm has been demonstrated to be a practical method for reconstructing an object from the modulus of its Fourier transform (i.e., solving the problem of recovering phase from a single intensity measurement).
Journal ArticleDOI
Signal reconstruction from phase or magnitude
TL;DR: In this article, a set of conditions under which a sequence is uniquely specified by the phase or samples of the phase of its Fourier transform was developed. But these conditions are distinctly different from the minimum or maximum phase conditions, and are applicable to both one-dimensional and multidimensional sequences.
Journal ArticleDOI
Motion artifact correction in MRI using generalized projections
TL;DR: An algorithm that suppresses translational motion artifacts in magnetic resonance imaging (MRI) by using post processing on a standard spin-warp image by using an iterative algorithm of generalized projections is presented.
Journal ArticleDOI
Performance of a simulated-annealing algorithm for phase retrieval
TL;DR: The full power of the simulated-annealing algorithm with large arrays appears to be limited by present-day computers rather than by its numerical performance, but it is believed that this combination may constitute an efficient method for phase retrieval.
Journal ArticleDOI
Reconstruction of multidimensional signals from zero crossings
TL;DR: T theoretical results that state conditions under which multidimensional band-limited signals are uniquely specified to within a scale factor with this information are developed.
References
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Journal Article
A practical algorithm for the determination of phase from image and diffraction plane pictures
TL;DR: In this article, an algorithm is presented for the rapid solution of the phase of the complete wave function whose intensity in the diffraction and imaging planes of an imaging system are known.
Journal ArticleDOI
Reconstruction of an object from the modulus of its Fourier transform.
TL;DR: A digital method for solving the phase-retrieval problem of optical-coherence theory: the reconstruction of a general object from the modulus of its Fourier transform, which should be useful for obtaining high-resolution imagery from interferometer data.
Journal Article
Correlation between photons in two coherent beams of light
R. H. Brown,R. Q. Twiss +1 more
Journal ArticleDOI
The Question of Phase Retrieval in Optics
TL;DR: In this article, it was shown that the phase information is irretrievably lost in the squaring operation required to obtain the intensity from the amplitude distribution in the image of a star formed by a lens.
Journal ArticleDOI
Method for Computing Kinoforms that Reduces Image Reconstruction Error.
Neal C. Gallagher,Bede Liu +1 more
TL;DR: Numerical results indicate that images produced by this method offer considerable reduction in the error when compared with images produced from kinoforms made with the random phase method.