Approximation of Free-form Surface – Airfoil Shape

Perk Lin Chong, K. Y. Cheong

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
JournalJournal of Engineering Science and Technology
Issue number6
Publication statusPublished - Dec 2013


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