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  • Generating Smooth B-Spline Curves Using Control-Point Interpolation
    Jing Liu, Kan-le Shi, Jun-hai Yong, He-jin Gu
    Journal of Computer-Aided Design & Computer Graphics 2010, In Press.


    Abstract: In order to overcome the problem resulted from non-uniform sampled data set, this paper presents a method to calculate unknown control points using given control points and knots to generate a smooth B-spline curve. It is based on the basis-function-maximum-value parameterization introduced in this paper. This method first parameterizes all control points; then regards given control points as data points to create a fit curve by interpolation; and finally obtains the unknown control points by evaluating the corresponding parameters directly, which improves the continuity and smoothness of the generated B-spline curve. The examples in the last section illustrate the feasibility of this method.
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