Blind image restoration as a convex optimization problem
نویسندگان
چکیده
In this paper, we consider the blind image restoration as a convex constrained problem and we propose to solve this problem by a conditional gradient method. Such a method is based on a Thikonov regularization technique and is obtained by an approximation of the blur matrix as a Kronecker product of two matrices given as a sum of a Toeplitz and a Hankel matrices. Numerical examples are given to show the efficiency of our proposed method.
منابع مشابه
PSO-Optimized Blind Image Deconvolution for Improved Detectability in Poor Visual Conditions
Abstract: Image restoration is a critical step in many vision applications. Due to the poor quality of Passive Millimeter Wave (PMMW) images, especially in marine and underwater environment, developing strong algorithms for the restoration of these images is of primary importance. In addition, little information about image degradation process, which is referred to as Point Spread Function (PSF...
متن کاملSparse Representation of a Blur Kernel for Blind Image Restoration
Blind image restoration is a non-convex problem which involves restoration of images from an unknown blur kernel. The factors affecting the performance of this restoration are how much prior information about an image and a blur kernel are provided and what algorithm is used to perform the restoration task. Prior information on images is often employed to restore the sharpness of the edges of a...
متن کاملWavelet-Constrained Image Restoration
Image restoration problems can naturally be cast as constrained convex programming problems in which the constraints arise from a priori information and the observation of signals physically related to the image to be recovered. In this paper, the focus is placed on the construction of constraints based on wavelet representations. Using a mix of statistical and convex-analytical tools, we propo...
متن کاملImage Restoration by Variable Splitting based on Total Variant Regularizer
The aim of image restoration is to obtain a higher quality desired image from a degraded image. In this strategy, an image inpainting method fills the degraded or lost area of the image by appropriate information. This is performed in such a way so that the obtained image is undistinguishable for a casual person who is unfamiliar with the original image. In this paper, different images are degr...
متن کاملA Set-Theoretic Blind Image Deconvolution Based on Hybrid Steepest Descent Method
Recently, Kundur and Hatzinakos showed that a linear restoration filter designed by using the almost obvious a priori knowledge on the original image, such as (i) nonnegativity of the true image and (ii) the smallest rectangle encompassing the original object, can realize a remarkable performance for a blind image deconvolution problem. In this paper, we propose a new set-theoretic blind image ...
متن کامل