Properties of Generalized Offset Curves and Surfaces. (21st May 2014)

• Record Type: Journal Article
• Authors: Chen, Xuejuan; Lin, Qun
• Other Names: Rokicki Jacek Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-05-21
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/124240
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : 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.