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Journal of Dynamical Systems and Geometric Theories cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Open Access Article

The exchange variations between bezier directrix curves of two developable ruled surfaces

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pp. 103–114Vol. 13Issue 2July 2015DOI: 10.1080/1726037X.2015.1076225XML
Received:
07 Feb 2015
Accepted:
23 Mar 2015
Published Online:
24 Nov 2015
Article type:
Article
Language:
EN
Article no.:
1726037X.2015.1076225
Pages:
103–114

Abstract

Developable ruled surfaces and Bezier curves axe widely used in Computer Aided Geometric Deisgn (CAGD). A ruled surface is a surface generated by sweeping a line through space, or more specifically, sweeping a line along a directrix curve. A developable ruled surface is a surface where the surface normal at all points along a given ruling is constant. If the generators and directrix curve of a developable ruled surface are known, operations with these surfaces and designs of them are much simplified.

Keywords

Subject Classifications

53A0453A0549K05

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