Cubic Uniform B-Spline Curve and Surface with Multiple Shape Parameters

Xi Wang; Cui Cui Gao; Chen Jiang

doi:10.4028/www.scientific.net/AMM.543-547.1860

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 543-547Cubic Uniform B-Spline Curve and Surface with...

Cubic Uniform B-Spline Curve and Surface with Multiple Shape Parameters

Abstract:

In order to construct B-spline curves with local shape control parameters, a class of polynomial basis functions with two local shape parameters is presented. Properties of the proposed basis functions are analyzed and the corresponding piecewise polynomial curve is constructed with two local shape control parameters accordingly. In particular, the G¹ continuous and the shapes of other segments of the curve can remain unchangeably during the manipulation on the shape of each segment on the curve. Numerical examples illustrate that the constructed curve fit to the control polygon very well. Furthermore, its applications in curve design is discussed and an extend application on surface design is also presented. Modeling examples show that the new curve is very valuable for the design of curves and surfaces.

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Periodical:

Applied Mechanics and Materials (Volumes 543-547)

Pages:

1860-1863

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.543-547.1860

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Online since:

March 2014

Authors:

Xi Wang*, Cui Cui Gao, Chen Jiang

Keywords:

Blending Functions, Cubic Uniform B-Spline, Curve Design, Extension, Local Shape Parameter

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* - Corresponding Author

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