B-Spline Basis Functions

  • Piegl L
  • Tiller W
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Abstract

Curves consisting of just one polynomial or rational segment are often inadequate. Their shortcomings are: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.

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APA

Piegl, L., & Tiller, W. (1995). B-Spline Basis Functions (pp. 47–79). https://doi.org/10.1007/978-3-642-97385-7_2

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