IJPAM: Volume 51, No. 2 (2009)

Invited Lecture Delivered at
Fifth International Conference of Applied Mathematics
and Computing (Plovdiv, Bulgaria, August 12-18, 2008)


Kuang-Hua Chang
School of Aerospace and Mechanical Engineering
University of Oklahoma
865, Asp Avenue, Norman, OK 73019, USA
e-mail: khchang@ou.edu

Abstract.This paper presents a parametric surface construction method that is general for numerous engineering applications, including integration of topology and shape optimizations, modeling for bioengineering applications, and reverse engineering for air logistics support. The proposed method employs curve fitting and surface skinning using B-spline curves and surfaces, respectively. This method minimizes the ripple and twist of the surfaces constructed by aligning knot vector across sectional B-spline curves. The proposed method also allows the flexibility of choosing polynomial order and number of control points for support of applications with different requirements. In addition to a very brief presentation on the method itself, examples will be given to illustrate and demonstrate the advantage of the method.

Received: August 14, 2008

AMS Subject Classification: 70-02

Key Words and Phrases: computer-aided design, curve fitting, B-spline surfacess

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 51
Issue: 2