An adaptively accelerated Lucy-Richardson method for image deblurring
EURASIP Journal on Advances in Signal Processing
Blind watermark algorithm based on HVS and RBF neural network in DWT domain
WSEAS Transactions on Computers
Generalizing the Nonlocal-means to super-resolution reconstruction
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Blind and semi-blind deblurring of natural images
IEEE Transactions on Image Processing
Journal of Signal Processing Systems
Image deconvolution using incomplete Fourier measurements
International Journal of Imaging Systems and Technology
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We propose a novel nonparametric regression method for deblurring noisy images. The method is based on the local polynomial approximation (LPA) of the image and the paradigm of intersecting confidence intervals (ICI) that is applied to define the adaptive varying scales (window sizes) of the LPA estimators. The LPA-ICI algorithm is nonlinear and spatially adaptive with respect to smoothness and irregularities of the image corrupted by additive noise. Multiresolution wavelet algorithms produce estimates which are combined from different scale projections. In contrast to them, the proposed ICI algorithm gives a varying scale adaptive estimate defining a single best scale for each pixel. In the new algorithm, the actual filtering is performed in signal domain while frequency domain Fourier transform operations are applied only for calculation of convolutions. The regularized inverse and Wiener inverse filters serve as deblurring operators used jointly with the LPA-design directional kernel filters. Experiments demonstrate the state-of-art performance of the new estimators which visually and quantitatively outperform some of the best existing methods.