Detecting stable scales in images via non-smooth K-functionals

Detecting stable scales in images via non-smooth K-functional

In image decompositions, one is interested in decomposing f into u+v where u and v have different features. In a variational approach, such a decomposition is achieved by solving the following variational problem inf (u,v)∈X1×X2 {tF1(u) + F2(v) : f = u+ v} , where F1 and F2 are positive functionals defined on some function spaces X1 and X2 respectively. Often the scale parameter t is fixed a pr...

Adaptive Image Dehazing via Improving Dark Channel Prior

The dark channel prior (DCP) technique is an effective method to enhance hazy images. Dark channel is an image with the same size as the hazy image which represents the haze severity in different places of the image. The DCP method suffers from two problems: it is incapable for removing haze from smooth regions, causing blocking effects on these areas; it cannot properly reduce a haze with a no...

A Representation for Characteristic Functionals of Stable Random Measures with Values in Sazonov Spaces

Equivalence of K-functionals and modulus of smoothness for fourier transform

In Hilbert space L2(Rn), we prove the equivalence between the mod-ulus of smoothness and the K-functionals constructed by the Sobolev space cor-responding to the Fourier transform. For this purpose, Using a spherical meanoperator.

Improving Dark Channel Prior for Single Image Dehazing

This paper proposes an improved dark channel prior for removing haze from images. Dark channel prior is an effective method for removing haze. Dark channel is an image in the same size as the hazy image which is obtained by dividing the RGB images into windows and for each window, the minimum of each R, G and B channels are calculated. Then again the minimum of these three values is calculated ...