To predict meteorological conditions, it is essential to construct interpolating functions considering the nature of data. The paper addresses an algorithm for constructing a weighted cubic spline that preserves monotonicity implementation this shown through example wind velocity data interpolation when required maintain positivity values. Wind always takes positive values, and its minimum valu...

We present several Hermite-type interpolation methods for rational cubics. In case the input data come from a circular arc, the rational cubic will reproduce it. c © 2008 Elsevier Ltd. All rights reserved.

In this paper, planar parametric Hermite cubic interpolants with small curvature variation are studied. By minimization of an appropriate approximate functional, it is shown that a unique solution of the interpolation problem exists, and has a nice geometric interpretation. The best solution of such a problem is a quadratic geometric interpolant. The optimal approximation order 4 of the solutio...