Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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DEGREE ELEVATION OF NURBS CURVES BY WEIGHTED BLOSSOM

  • Published : 2002.12.01

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Abstract

An a1gorithmic approach to degree elevation of NURBS curves is presented. The new algorithms are based on the weighted blossoming process and its matrix representation. The elevation method is introduced that consists of the following steps: (1) decompose the NURBS curve into piecewise rational Bezier curves, (b) elevate the degree of each rational Bezier piece, and (c) compose the piecewise rational Bezier curves into NURBS curve.

Keywords

References

  1. Knot Insertion and Deletion Algorithms for B-spline Curves and Surface An Introduction to Blossoming P.J.Barry;R.N.Goldman(ed.);T.Lyche(ed.)
  2. Curves and surfaces for computer aided geometric design: A practical guide G.Farin
  3. The NURBS Book L.Piegl;W.Tiller