Properties of Generalized Offset Curves and Surfaces
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/124240 |
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| _version_ | 1850169209259032576 |
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| author | Xuejuan Chen Qun Lin |
| author_facet | Xuejuan Chen Qun Lin |
| author_sort | Xuejuan Chen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a616ee13bb004c08b4ce9e16cd70528e |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a616ee13bb004c08b4ce9e16cd70528e2025-08-20T02:20:47ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/124240124240Properties of Generalized Offset Curves and SurfacesXuejuan Chen0Qun Lin1School of Science, Jimei University, Xiamen 361021, ChinaSchool of Mathematical Science, Xiamen University, Xiamen 361005, ChinaThis 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.http://dx.doi.org/10.1155/2014/124240 |
| spellingShingle | Xuejuan Chen Qun Lin Properties of Generalized Offset Curves and Surfaces Journal of Applied Mathematics |
| title | Properties of Generalized Offset Curves and Surfaces |
| title_full | Properties of Generalized Offset Curves and Surfaces |
| title_fullStr | Properties of Generalized Offset Curves and Surfaces |
| title_full_unstemmed | Properties of Generalized Offset Curves and Surfaces |
| title_short | Properties of Generalized Offset Curves and Surfaces |
| title_sort | properties of generalized offset curves and surfaces |
| url | http://dx.doi.org/10.1155/2014/124240 |
| work_keys_str_mv | AT xuejuanchen propertiesofgeneralizedoffsetcurvesandsurfaces AT qunlin propertiesofgeneralizedoffsetcurvesandsurfaces |