Abstract
Many algorithms for curves in Bézier representation can be understood and derived using symmetric polynomials. In this chapter, the relationship between univariate and symmetric multivariate polynomials is explained and the basic CAGD algorithms based on this relationship are presented. The most important algorithm is de Casteljaués. It has several applications and serves as an important theoretical tool.
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© 2002 Springer-Verlag Berlin Heidelberg
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Prautzsch, H., Boehm, W., Paluszny, M. (2002). Bézier techniques. In: Bézier and B-Spline Techniques. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04919-8_3
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DOI: https://doi.org/10.1007/978-3-662-04919-8_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07842-2
Online ISBN: 978-3-662-04919-8
eBook Packages: Springer Book Archive