0000000000384541

AUTHOR

Curtis R. Vogel

showing 1 related works from this author

Quasi-Newton approach to nonnegative image restorations

2000

Abstract Image restoration, or deblurring, is the process of attempting to correct for degradation in a recorded image. Typically the blurring system is assumed to be linear and spatially invariant, and fast Fourier transform (FFT) based schemes result in efficient computational image restoration methods. However, real images have properties that cannot always be handled by linear methods. In particular, an image consists of positive light intensities, and thus a nonnegativity constraint should be enforced. This constraint and other ways of incorporating a priori information have been suggested in various applications, and can lead to substantial improvements in the reconstructions. Neverth…

DeblurringMathematical optimizationNumerical AnalysisAlgebra and Number TheoryPrinciple of maximum entropyFast Fourier transformCirculant matrixBlock Toeplitz matrixConjugate gradient methodReal imageQuasi-Newton methodImage restorationConjugate gradient methodRegularizationA priori and a posterioriQuasi-Newton methodDiscrete Mathematics and CombinatoricsGeometry and TopologyImage restorationMathematicsLinear Algebra and its Applications
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