Approximation of free-form curve - Airfoil shape

Chong, Perk Lin and Cheong, Khai Yip (2013) Approximation of free-form curve - Airfoil shape. Journal of Engineering Science and Technology, 8 (6). pp. 692-702. ISSN 1823-4690

Approximation of free-form curve - Airfoil shape.pdf - Published Version

Download (384kB) | Preview
Official URL:


Approximation of free-form shape is essential in numerous engineering applications, particularly in automotive and aircraft industries. Commercial CAD software for the approximation of free-form shape is based almost exclusively on parametric polynomial and rational parametric polynomial. The parametric curve is defined by vector function of one independent variable R(u) = (x(u), y(u), z(u)), where 0≤u≤1. Bézier representation is one of the parametric functions, which is widely used in the approximating of free-form shape. Given a string of points with the assumption of sufficiently dense to characterise airfoil shape, it is desirable to approximate the shape with Bézier representation. The expectation is that the representation function is close to the shape within an acceptable working tolerance. In this paper, the aim is to explore the use of manual and automated methods for approximating section curve of airfoil with Bézier representation.

Item Type: Article
Uncontrolled Keywords: Shape approximation, Parametric polynomial, Bézier representation, Free-form shape.
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Divisions: Faculty of Engineering, Science and Mathematics > School of Engineering and Quantity Surveying
Depositing User: Unnamed user with email
Date Deposited: 27 Jan 2016 08:37
Last Modified: 06 Oct 2016 05:53

Actions (login required)

View Item View Item