This paper investigates the use of cascadic multiresolution methods for image deblurring. Iterations with a conjugate gradient-type method are carried out on each level, and terminated by a stopping rule based on the discrepancy principle. Prolongation is carried out by nonlinear edge-preserving operators, which are defined via PDEs associated with Perona–Malik or total variation-type models. C...

Cysts in the larynx are one of the least encountered benign laryngeal lesions. However, Myerson 1 claimed that laryngeal cysts occurred more frequently than described in the text books. Singh and Malik 2 had reported five cases which were diagnosed during a five years period. The present paper deals with eight cases of cysts of the larynx in different age groups with varying presenting problems...

Emily A. Oestreich, Huan Wang, Sundeep Malik, Katherine A. Kaproth-Joslin, Burns C. Blaxall , Grant G. Kelley**, Robert T. Dirksen, and Alan V. Smrcka From the Departments of Pharmacology and Physiology and the Cardiovascular Research Institute, University of Rochester School of Medicine, Rochester, New York 14642, Systems Biology Division, The Wistar Institute, Philadelphia, Pennsylvania, 1910...

This result was obtained also by N. Bari [1] using very different methods. The factor n in (1.1) cannot be replaced by any function tending to infinity more slowly. Namely, for each n exist polynomials P (t) of degree n such that the left side of (1.1) is ≤ Bn, where B is a constant of the same nature as A. Under only a little restriction on the zeros of P (z), M. A. Malik [4] found the followi...

We introduce the coarsening of finite element computational grid strategy into the method proposed by Kačur and Mikula in [11] for the numerical solution of the Perona–Malik model modified in the sense of Catté, Lions, Morel and Coll. It improves the efficiency of the method, while the solution tends to be more flat during the selective smoothing process applied to the image. The numerical appr...

Malik Muhammad Abdullah, 2, 3 Anurag, 1 Zoltan Jurek, 2 Sang-Kil Son, 2 and Robin Santra 2, 3 Center for Free-Electron Laser Science, DESY, Notkestrasse 85, 22607 Hamburg, Germany The Hamburg Centre for Ultrafast Imaging, Luruper Chaussee 149, 22761 Hamburg, Germany Department of Physics, University of Hamburg, Jungiusstrasse 9, 20355 Hamburg, Germany Department of Physics, Indian Insitute of T...

In this paper, the authors determine the coefficient bounds for functions in certain subclasses of analytic functions related with the conic regions, which are introduced by using the concept of bounded boundary and bounded radius rotations. The effect of certain integral operator on these classes has also been examined. Sarfraz Nawaz Malik, Mohsan Raza, Muhammad Arif and Saqib Hussain Let A be...

Resting State fMRI in the moving fetus: a robust framework for motion and spin history correction. Giulio Ferrazzi, Maria Kuklisova Murgasova, Tom Arichi, Joanna Allsop, Christina Malamateniou, Mary Rutherford, Shaihan Malik, Paul Aljabar, and Joseph V. Hajnal Center for the Developing Brain, King's College London, London, United Kingdom, Division of Imaging Sciences & Biomedical Engineering, K...

The analytic functions, mapping the open unit disk onto petal and oval type regions, introduced by Noor and Malik (Comput. Math. Appl. 62:2209-2217, 2011), are considered to define and study their associated close-to-convex functions. This work includes certain geometric properties like sufficiency criteria, coefficient estimates, arc length, the growth rate of coefficients of Taylor series, in...

S. J. Malik, S. Keihaninejad, A. Hammers, and J. V. Hajnal Robert Steiner MRI Unit, Imaging Sciences Department, MRC Clinical Sciences Centre, Hammersmith Hospital, Imperial College London, London, London, United Kingdom, Division of Neuroscience and Mental Health, Imperial College London, London, United Kingdom, Neurodis Foundation, CERMEP Imagerie du Vivant, Lyon, France, Robert Steiner MRI U...