Properties of Generalized Offset Curves and Surfaces | Zendy

Xuejuan Chen | Zendy; Qun Lin | Zendy

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Properties of Generalized Offset Curves and Surfaces

Author(s) -

Xuejuan Chen,

Qun Lin

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/124240

Subject(s) - offset (computer science) , mathematics , coordinate system , topology (electrical circuits) , mathematical analysis , computer science , geometry , combinatorics , programming language

This paper proposes a definition of generalized offsets for curves and surfaces, which have the variable offset distance and direction, by usingthe 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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