Design of Three-order Cubic Non-Uniform B-Spline Curve with Multi-parameters

摘要：

We present a kind of third-order cubic non-uniform B-spline parametric curve, and give out the relationship between its de Boor control points and piecewise cubic Bezier control points. The curve has a number of characteristics similar to the second non-uniform B-spline curve such as: Cl continuity on the parameter variables, expression by a linear combination of three de Boor control points on each spline interval, affine invariance, and embracement of the secondary non-uniform B-spline curves. Its blending functions contain several shape parameters, with a clear geometric meaning, which can be used to control the shape or deformation of the curve. Some properties and conditions like convex hull and shape-preserving of the de Boor control polygon, etc., are discussed, and the impact of sbape parameter to the curve sbape is also described.

关键词： non-uniform B-spline curve blending function shape parameter affine invariance

作者: Wang Shuxun Ye Zhenglin Chen Zuoping

作者单位: College of Science Northwestem Polytechnical University,NWPU Xian, China Department of Mathematics College of Science Northwestem Polytechnical University,NWPU Xian, China Industrial Centre The Hong Kong Polytechnic University,PolyU Hong Kong,China

会议类型: 国际会议

会议名称: 2010 2nd International Conference on Signal Processing System(2010年信号处理系统国际会议 ICSPS 2010)

会议地点: 大连

会议语种:英文

页码: 505-510

在线出版日期: 2010-07-05（万方平台首次上网日期，不代表论文的发表时间）