Abstract Parametric interpolatory curves play a vital part in geometric modeling. Cubic Catmull–Rom spline is well-known tool for constructing parametric curves, but it cannot be modified once its control points are fixed. We propose novel quartic with free parameters to tackle this issue. The owns shape adjustability based on inheriting the features of cubic spline. Some modeling examples show...

In this paper, a new methodology is developed for knots placement for cubic spline approximation, using Simulated Annealing. It is not necessary to convert the problem into a discrete combinatorial optimization problem, as presented in other paradigms inspired in genetic algorithm or artificial immune systems, and therefore, removing the constrain of combinatorial optimization problem in the pr...

A new dimension of image compression using random pixels of irregular sampling and image reconstruction using cubic-spline interpolation techniques proposed in this paper. It also covers the wide field of multimedia communication concerned with multimedia messaging (MMS) and image transfer through mobile phones and tried to find a mechanism to transfer images with minimum bandwidth requirement....

This paper presents a method for lossy compression of digital video data by parametric line and Natural cubic spline approximation. The method estimates the variation of pixel values in the temporal dimension by taking group of pixels together as keyblocks and interpolating them in Euclidean space. Break and fit criterion is used to minimize the number of keyblocks required for encoding and dec...

This paper aims to obtain approximate solutions of the one-dimensional nonlinear Klein-Gordon equation by employing Cubic B-spline wavelets. Our scheme uses the Galerkin method and approximates the solution in the terms of cubic B-spline scaling and wavelet functions. These wavelets are applied as testing and weighting functions. Because of some properties of these wavelets such as having compa...

We construct cubic spline approximations of a circle which are four times continuously differentiable and converge with order six.