NDLI: A new approach to generation of ruled surfaces and its applications in engineering

Content Provider	Springer Nature Link
Author	Zha, X. F.
Copyright Year	1997
Abstract	Based on the Study displacive theory that there is a one-to-one correspondence between an oriented straight line in three-dimensional Euclidean space (E 3) and a dual point on the surface of a dual unit sphere (DUS) in three-dimensional dual space (D 3), this paper presents a new methodology for the generation of ruled surfaces by planning (fitting or interpolating) the motion locus of a point on the surface of a DUS and discusses its applications in engineering. Some geometric problems and an optimal generation model for ruled surfaces are dealt with in detail. The correctness and effectiveness of this methodology are illustrated by examples and application in practice.
Starting Page	155
Ending Page	163
Page Count	9
File Format	PDF
ISSN	02683768
Journal	The International Journal of Advanced Manufacturing Technology
Volume Number	13
Issue Number	3
e-ISSN	14333015
Language	English
Publisher	Springer-Verlag
Publisher Date	1997-01-01
Publisher Place	London
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Computer-aided geometric design (CAGD) Dual mapping approach Optimisation Ruled surfaces Computer-Aided Engineering (CAD, CAE) and Design Mechanical Engineering Industrial and Production Engineering Production/Logistics
Content Type	Text
Resource Type	Article
Subject	Industrial and Manufacturing Engineering Control and Systems Engineering Mechanical Engineering Computer Science Applications Software

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A new approach to generation of ruled surfaces and its applications in engineering