We give a recipe for deriving local spline approximation methods which reproduce the whole spline space. The methods are obtained by solving a series of local approximation problems. Examples of speci c quadratic and cubic approximation methods are given. x

The problem of Discrete C2 Rational Cubic Spline has been proposed and Error bound obtained. Method have unique representation.

The non-polynomial spline method is proposed to solve a singular boundary value problems. Some model problems are solved and the numerical results are compared with B-spline approximation and the exact solution. Results obtained by the method indicate the method is simple and effective. Key–Words: Singular point; Singular two-point boundary value problems; Cubic spline

This paper presents an alternative approach for removing striping patterns of Hyperion hyperspectral imagery. In this study, a cubic spline-based curve-fitting algorithm was used to estimate gray values of striping pixels in an image. The idea is to treat each line of a Hyperion image as a piece-wise spline curve in each spectral band. After identifying pixels affected by the striping noises, t...