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- Title
α extension of the cubic B-spline curve with given tangent polygon.
- Authors
Wang Cheng-wei
- Abstract
In order to α expansion of the cubic uniform B-spline curve tangent to the given polygon, in this paper, an algorithm for constructing α extension of the cubic uniform B-spine curve which is tangent to the given polygon is described. The control points of α extension of the cubic uniform B-spine curve to be constructed are computed simply by the vertices of the given polygon. The constructed curve is shape-preserving to the polygon.The local modification to α extension of the cubic uniform B-spine curve can be completed by simply adjusting the corresponding control parameters. Two examples are included.
- Subjects
SPLINE theory; TANGENT function; POLYGONS; VERTEX operator algebras; NUMERICAL solutions to equations
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2011, Vol 24, Issue 4, p542
- ISSN
1006-8341
- Publication type
Article