## Image reconstruction from incomplete observations |

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### Contents

C Sanz and Thomas S Huang | 2 |

SUPPORTLIMITED SIGNAL AND IMAGE | 3 |

FOUR BASIC MODELS FOR EXTRAPOLATION | 9 |

Copyright | |

7 other sections not shown

### Common terms and phrases

2D sequence actual samples applied approach approximation ASSP assumed autocorrelation band-limited Band-Limited Signal compact operator computed cont convergence convex set defined defogged denotes discrete Fourier transform discrete-continuous discrete-discrete error error-reduction algorithm example extrapolation problem Fienup filter first-digit noise Fourier modulus ft-band-limited fuzzy set Gerchberg-Saxton algorithm given Hilbert spaces holography IEEE IEEE Trans Image Reconstruction image restoration interpolation iterative algorithm iterative procedure known Labeyrie Labeyrie intensity linear matrix maximum entropy membership function minimum-norm missing cone problem nonnegative norm number of iterations obtained operator optical phase information phase problem phase retrieval problem pixels polynomial Proc pseudoinverse recursion region of support result sample points satisfies second-digit noise Section shown in Figure Signal Reconstruction single intensity measurement solving space spatial speckle images speckle interferometry steepest descent steepest descent method Theorem two-dimensional two-step procedures unique solution vector visibility intensity z-transform zero