This paper provides a new algorithm for solving inverse problems, based on the minimization of the L2 norm and on the control of the Total Variation. It consists in relaxing the role of the Total Variation in the classical Total Variation minimization approach, which permits us to get better approximation to the inverse problems. The numerical results on the deconvolution problem show that our ...

This paper considers the use of the anisotropic total variation seminorm to recover a two dimensional vector x ∈ CN×N from its partial Fourier coefficients, sampled along Cartesian lines. We prove that if (xk,j − xk−1,j)k,j has at most s1 nonzero coefficients in each column and (xk,j − xk,j−1)k,j has at most s2 nonzero coefficients in each row, then, up to multiplication by log factors, one can...

We present a novel deconvolution approach to accurately restore piecewise smooth signals from blurred data. The first stage uses Higher Order Total Variation restorations to obtain an estimate of the location of jump discontinuities from the blurred data. In the second stage the estimated jump locations are used to determine the local orders of a Variable Order Total Variation restoration. The ...

asian citrus psyllid, diaphorina citri kuwayama, is an important pest of citrus that transmits the bacterial pathogens responsible for citrus greening disease, also called huanglongbing. the aim of the current study was to investigate the shape variations of the forewing among the iranian geographic populations of d. citri, as well as one population from pakistan. the adult psyllids used in thi...

We consider total variation (TV) minimization for manifold-valued data. We propose a cyclic proximal point algorithm and a parallel proximal point algorithm to minimize TV functionals with -type data terms in the manifold case. These algorithms are based on iterative geodesic averaging which makes them easily applicable to a large class of data manifolds. As an application, we consider denoisin...

the purpose of this work was to develop once daily sustained release (sr) matrix tablets of naproxen, an anti-inflammatory agent. the tablets were prepared by wet granulation method along with hydrophilic matrix materials like methocel k 15m cr and methocel k 100m cr. the granules were evaluated for bulk density, angle of repose, compressibility index, total porosity and drug content. the table...