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New extensions of quadratic uniform B-spline curves and their applications. (Chinese. English summary) Zbl 1265.65020
Summary: A class of polynomial basis functions of degree 3 and degree 4 with two parameters \(\lambda_i,\mu_i\) is presented, which are the extensions of the uniform quadratic B-spline basis functions and can be extended to the case of degree \(n\). Based on these blending functions, a method of generating piecewise polynomial curves with two parameters is given. The properties of the basis functions and the geometric meaning of the parameters are discussed. The examples of the curve design show that these new curves provide a very effective method for curve design.
MSC:
65D17 Computer-aided design (modeling of curves and surfaces)
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