We discuss the construction of C 2 cubic spline quasi-interpolation schemes defined on a refined partition. These are reduced in terms degrees freedom compared to those existing literature. Namely, we provide rule for reducing them by imposing super-smoothing conditions while preserving full smoothness and precision. In addition, subdivision rules means blossoming. The derived designed express ...

Joint histogram of two images is required to uniquely determine the mutual information between the two images. It has been pointed out that, under certain conditions, existing joint histogram estimation algorithms like partial volume interpolation (PVI) and linear interpolation may result in different types of artifact patterns in the MI based registration function by introducing spurious maxim...

The aim of this paper presents an analysis of weighted quadratic trigonometric spline with two shape parameters which interpolate on function value. This interpolating is C continuous with quadratic denominator. Constrain control of this rational quadratic trigonometric spline is derived which force it be bound in the given region. Approximation property is discussed.

The problem of article is cubic spline-interpolation of functions having high gradient regions. It is shown that uniform grids are inefficient to be used. In case of piecewise-uniform grids, concentrated in the boundary layer, for cubic spline interpolation are announced asymptotically exact estimates on a class of functions with an exponential boundary layer. There are obtained results showing...

This paper presents a novel approach to multiresolution editing of a triangular mesh. The basic idea is to embed an editing area of a mesh onto a 2D rectangle and interpolate the user-specified editing information over the 2D rectangle. The result of the interpolation is mapped back to the editing area and then used to update the mesh. We adopt harmonic maps for the embedding and multilevel B-s...

abstract nowadays, solar energy as one of the most important sources of clean and free of damaging environmental effects energy are used in many cases including generation of electricity, heat and desalination of salt water. the purpose of this research is identification of high radiation areas as most suitable regions for these applications.to do this, cloudiness data of 120 synoptic stations ...

International Journal of Computer Mathematics Publication details, including instructions for authors and subscription information: http://www.informaworld.com/smpp/title~content=t713455451 Inverse spline-interpolation for numerically solving a piston problem with isothermic gas compression and constant velocity F. Criado a; T. Gachechiladez b; H. Meladze b a Department of Mathematics, Malaga U...

Consider a bicubic rectangular patch complex which surrounds an n-sided hole in R. Then the problem of filling the hole with n bicubic rectangular patches is studied.