The first contribution of this paper is the comparison of learned dictionary based approaches to inpainting and denoising of images in natural scenes, where emphasis is given on the use of complete and overcomplete dictionary learned by independent component analysis. The second contribution of the paper relates to the formulation of a problem of denoising an image corrupted by a salt and peppe...

We address the problem of surface inpainting, which aims to fill in holes or missing regions on a Riemann surface based on its surface geometry. In practical situation, surfaces obtained from range scanners often have holes or missing regions where the 3D models are incomplete. In order to analyze the 3D shapes effectively, restoring the incomplete shape by filling in the surface holes is neces...

Inpainting is the problem of filling-in holes in images. Considerable progress has been made by techniques that use the immediate boundary of the hole and some prior information on images to solve this problem. These algorithms successfully solve the local inpainting problem but they must, by definition, give the same completion to any two holes that have the same boundary, even when the rest o...

In 2001, Bertalmio, et. al. drew an analogy between the image intensity function for the image inpainting problem and the stream function in a two-dimensional (2D) incompressible fluid. An approximate solution to the inpainting problem is obtained by numerically approximating the steady state solution of the 2D NSE vorticity transport equation, and simultaneously solving the Poisson problem bet...

In a large number of spaceborne and airborne multi-detector spectrometer imagery, there commonly exist image stripes and random dead pixels. The techniques to recover the image from the contaminated one are called image destriping (for stripes) and image inpainting (for dead pixels). In order to constrain the solution space according to a priori knowledge, this paper presents a maximum a poster...

This paper addresses the problem of how to recover degraded images with partial image pixels being missing during transmission or damaged by impulsive noise. A wide range of image restoration tasks are covered in the mathematical model considered in this paper, e.g. image deblurring, image inpainting and super-resolution imaging. Based on the assumption that nature images are likely to have a s...

The purpose of this thesis is to discuss digital image resolution enhancement by variational methods and the associated computational issues. Two problems related to the basic zooming problem are also studied: super-resolution and quantized deconvolution. Digital zooming is important for mundane computing activities such as web browsing as well as sophisticated applications like satellite image...