B-Spline Basis Functions
a high degree is required in order to satisfy a large number of constraints; e.g., (n − 1)-degree is needed to pass a polynomial Bézier curve through n data points. However, high degree curves are inefficient to process and are numerically unstable;
a high degree is required to accurately fit some complex shapes;
single-segment curves (surfaces) are not well-suited to interactive shape design; although Bézier curves can be shaped by means of their control points (and weights), the control is not sufficiently local.
KeywordsBasis Function Control Point Bezier Curve Piecewise Polynomial Function Polynomial Curf
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