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Part of the book series: Mathematics and Visualization ((MATHVISUAL))

Abstract

Most algorithms for curves in Bézier representation have a generalized form for splines. One of the most important spline algorithms is knot insertion. It can be used for degree elevation, the de Boor algorithm and subdivision. In particular, de Casteljau’s algorithm can be understood as a special multiple knot insertion.

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© 2002 Springer-Verlag Berlin Heidelberg

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Prautzsch, H., Boehm, W., Paluszny, M. (2002). B-spline techniques. In: Bézier and B-Spline Techniques. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04919-8_6

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  • DOI: https://doi.org/10.1007/978-3-662-04919-8_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07842-2

  • Online ISBN: 978-3-662-04919-8

  • eBook Packages: Springer Book Archive

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