Projecting curves onto free-form surfaces
by Xiao-Ping Wang, Wei Wei, Wei-Zhong Zhang
International Journal of Computer Applications in Technology (IJCAT), Vol. 37, No. 2, 2010

Abstract: This paper presents simple methods of projecting a space curve onto a surface. Here, the parallel projection and the central projection are particularly considered. We derive the differential equations of the projection curve on both parametrically and implicitly defined surface. The projection curve is obtained by numerically solving the initial-value problem for a system of first-order Ordinary Differential Equations (ODEs) in the parametric domain associated with the surface representation for parametric case or in 3D space for implicit case. Some examples are also given to demonstrate that the presented methods are effective and potentially useful in computer-aided design.

Online publication date: Tue, 16-Mar-2010

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Computer Applications in Technology (IJCAT):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com