Multiscale Sharpening and Smoothing in Besov Spaces with Applications to Image Enhancement

Multiscale Sharpening and Smoothing in Besov Spaces with Applications to Image Enhancement

In this paper we use multiscale characteristics of wavelet decompositions and their relationship to smoothness spaces such as Besov spaces to derive a framework for smoothing and sharpening of signals and images. As a result, we derive a multiscale generalization of traditional techniques, such as unsharp masking, while using the smoothness parameter α in the Besov space Bα q (L p) to provide a...

Multiscale image sharpening adaptive to edge profile

Besov – Köthe Spaces and Applications Kwok -

We introduce and study the family of Besov–Köthe spaces which is a generalization of the Besov spaces, the Besov–Morrey spaces and the variable Besov spaces. As an application of the general results for the Besov–Köthe spaces, we identify a pre-dual of the Besov–Morrey space.

Multiscale Characterizations of Besov Spaces on Bounded Domains

The theory of wavelets and multiresolution analysis is usually developed on R. However, applications of wavelets to image processing and numerical methods for partial differential equations require multiresolution analysis on domains or manifolds in R. The study of multiresolution in these settings is just beginning. Building on the construction of multiresolution on intervals (and cubes in R )...

Color image enhancement based on perceptual sharpening

In this paper we present a sharpening operator for color images that is based on perceptual considerations about how human visual behaves for color scenes. Color contrast is an induction phenomenon of the visual system that varies the chromaticity of a color region depending on the color of its surround, provoking an enhanced perception of color scenes. This effect can be simulated by a sharpen...