A swarm intelligence based method is presented in this paper to solve the problem of parameterization of given set of planar and spatial data points, which may be uniformly or non-uniformly spaced, for least squares fitting with Bezier curves. The basic framework of the proposed method relies on fireworks algorithm. Performance of the proposed method is tested through several example curves of ...

In this paper we approximate a cylindrical helix by biconic and bi-quadratic Bezier curves. Each approximation method is G end-points interpolation of the helix. We present a sharp upper bound of the Hausdorff distance between the helix and each approximation curve. We also show that the error bound has the approximation order three and monotone increases as the length of the helix increases. A...

This paper has constructed a linear quadratic Bézier-like curve with two shape parameters. The proposed work is to design the Arabic fonts by using Bezier-like curves. focus of this study new functions and look at their application in designing fonts. Our procedures involve combination polynomial basis functions. rational non-rational are used modified as desired simply altering values paramete...

Shape optimization issues under vibroacoustic criteria within the specific mid high frequency range are under consideration in the present paper. The main objective of this research is to develop an adjoint formulation for the shape optimization using Simplified Energy Method (MES). This will allow to implement the method into numerical modeling of engineering applications, such as noise reduct...