The Image Restoration/Reconstruction Problem
نویسنده
چکیده
This lecture reviews the image restoration/reconstruction problem in its general setting. We ̄rst discuss linear methods for solving the problem of image deconvolution, i.e. the case in which the data is a convolution of a point-spread function and an underlying unblurred image. Next, non-linear methods are introduced in the context of Bayesian estimation, including MaximumLikelihood and Maximum Entropy methods. Finally, the successes and failures of these methods are discussed along with some of the roots of these problems and the suggestion that these di±culties might be overcome by new (e.g. pixon-based) image reconstruction methods.
منابع مشابه
Image 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 کاملBayesian Super-Resolution Image Reconstruction using an `1 prior
This paper deals with the problem of high-resolution (HR) image reconstruction, from a set of degraded, undersampled, shifted and rotated images, under the Bayesian paradigm, utilizing a variational approximation. Bayesian methods rely on image models that encapsulate prior image knowledge and avoid the ill-posedness of the image restoration problems. In this paper a new prior based on the `1 n...
متن کاملSuper-resolution Reconstruction of an Image
This paper presents a generalization of restoration theory for the problem of SuperResolution Reconstruction (SRR) of an image. In the SRR problem, a set of low quality images is given, and a single improved quality image which fuses their information is required. We present a model for this problem, and show how the classic restoration theory tools ML, MAP and POCS can be applied as a solution...
متن کاملMAP-Based Image Super-resolution Reconstruction
From a set of shifted, blurred, and decimated image , super-resolution image reconstruction can get a high-resolution image. So it has become an active research branch in the field of image restoration. . In general, super-resolution image restoration is an ill-posed problem. Prior knowledge about the image can be combined to make the problem well-posed, which contributes to some regularization...
متن کاملApplications of the Moore-Penrose Inverse in Digital Image Restoration
This paper presents a fast computational method that finds application in a broad scientific field such as digital image restoration. The proposed method provides a new approach to the problem of image reconstruction by using the Moore-Penrose inverse. The resolution of the reconstructed image remains at a very high level but the main advantage of the method was found on the computational load ...
متن کامل