IJPAM: Volume 49, No. 3 (2008)
FOR RECREATIONAL WATERSLIDES
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 surfaces
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 49
Issue: 3