DocumentCode :
3499432
Title :
Implementation of Adjustably Developable Surfaces Using Duality Between Point and Plane Geometries
Author :
Yang, Junqing ; Zhou, Min ; Lv, Quanyi ; Song, Weijie
Author_Institution :
Dept. of Comput. Eng., Xi´´an Aerotechnical Coll., Xian
fYear :
2007
fDate :
21-25 Sept. 2007
Firstpage :
3084
Lastpage :
3087
Abstract :
An explicit and efficient method of computer-aided design for adjustably developable surfaces is proposed. It is based on the important idea of duality between plane and point geometries. The shapes of developable surfaces can be adjusted using a control parameter. We show that the techniques for the geometric design of developable surfaces in this paper have all the characteristics of existing approaches for curves design. Further, we present a new method of displaying control planes and the generating plane at physically and geometrically meaningful location relative to the resulting surface. The new algorithm can not only overcome the difficulties in representation of developable surfaces utilizing traditional approaches, but also resolve the problems in adjusting and controlling the shape of developable surfaces that often faced in Engineering.
Keywords :
curve fitting; duality (mathematics); surface fitting; adjustably developable surface; computer-aided design; control parameter; curve design; duality; plane geometry; point geometry; Character generation; Computational geometry; Computer aided manufacturing; Design automation; Design engineering; Educational institutions; Nonlinear equations; Shape control; Spline; Tin;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Wireless Communications, Networking and Mobile Computing, 2007. WiCom 2007. International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-1311-9
Type :
conf
DOI :
10.1109/WICOM.2007.766
Filename :
4340541
Link To Document :
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