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Advances in Materials Science and Engineering
Volume 2015, Article ID 260587, 9 pages
http://dx.doi.org/10.1155/2015/260587
Research Article

Shape Designing of Engineering Images Using Rational Spline Interpolation

1Department of Information Science, College of Computing Sciences and Engineering, Kuwait University, Adailiya Campus, Kuwait
2Department of Mathematics, University of the Punjab, Lahore, Pakistan

Received 11 January 2015; Revised 17 February 2015; Accepted 17 February 2015

Academic Editor: Luigi Nicolais

Copyright © 2015 Muhammad Sarfraz et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In modern days, engineers encounter a remarkable range of different engineering problems like study of structure, structure properties, and designing of different engineering images, for example, automotive images, aerospace industrial images, architectural designs, shipbuilding, and so forth. This paper purposes an interactive curve scheme for designing engineering images. The purposed scheme furnishes object designing not just in the area of engineering, but it is equally useful for other areas including image processing (IP), Computer Graphics (CG), Computer-Aided Engineering (CAE), Computer-Aided Manufacturing (CAM), and Computer-Aided Design (CAD). As a method, a piecewise rational cubic spline interpolant, with four shape parameters, has been purposed. The method provides effective results together with the effects of derivatives and shape parameters on the shape of the curves in a local and global manner. The spline method, due to its most generalized description, recovers various existing rational spline methods and serves as an alternative to various other methods including v-splines, gamma splines, weighted splines, and beta splines.