6533b826fe1ef96bd1283d8a
RESEARCH PRODUCT
Variational multiframe restoration of images degraded by noisy (stochastic) blur kernels
Luminita A. VeseMiyoun JungAntonio Marquinasubject
Point spread functionSequenceMathematical optimizationApplied MathematicsComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION010103 numerical & computational mathematics02 engineering and technology01 natural sciencesImage (mathematics)Computational MathematicsComputer Science::Computer Vision and Pattern Recognition0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processingSegmentationMinification0101 mathematicsAlgorithmEnergy (signal processing)Image restorationDegradation (telecommunications)Mathematicsdescription
This article introduces and explores a class of degradation models in which an image is blurred by a noisy (stochastic) point spread function (PSF). The aim is to restore a sharper and cleaner image from the degraded one. Due to the highly ill-posed nature of the problem, we propose to recover the image given a sequence of several observed degraded images or multiframes. Thus we adopt the idea of the multiframe approach introduced for image super-resolution, which reduces distortions appearing in the degraded images. Moreover, we formulate variational minimization problems with the robust (local or nonlocal) L^1 edge-preserving regularizing energy functionals, unlike prior works dealing with stochastic point spread functions. Several experimental results on grey-scale/color images and on real static video data are shown, illustrating that the proposed methods produce satisfactory results. We also apply the degradation model to a segmentation problem with simultaneous image restoration.
year | journal | country | edition | language |
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2013-03-01 | Journal of Computational and Applied Mathematics |