Open Access
2014 Properties of Generalized Offset Curves and Surfaces
Xuejuan Chen, Qun Lin
J. Appl. Math. 2014: 1-13 (2014). DOI: 10.1155/2014/124240


This paper proposes a definition of generalized offsets for curves and surfaces, which have the variable offset distance and direction, by using the local coordinate system. Based on this definition, some analytic properties and theorems of generalized offsets are put forward. The regularity and the topological property of generalized offsets are simply given by representing the generalized offset as the standard offset. Some examples are provided as well to show the applications of generalized offsets. The conclusions in this paper can be taken as the foundation for further study on extending the standard offset.


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Xuejuan Chen. Qun Lin. "Properties of Generalized Offset Curves and Surfaces." J. Appl. Math. 2014 1 - 13, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131329
MathSciNet: MR3214497
Digital Object Identifier: 10.1155/2014/124240

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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