Abstract
Just as univariate polynomials, multivariate polynomials correspond uniquely to symmetric multiaffine polynomials. With symmetric polynomials, it is a simple task to derive algorithms which evaluate, degree elevate, reparametrize, or subdivide a triangular surface in Bézier representation. The generalization of the techniques described for univariate polynomials in Chapter 3 is straightforward.
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© 2002 Springer-Verlag Berlin Heidelberg
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Prautzsch, H., Boehm, W., Paluszny, M. (2002). Bézier techniques for triangular patches. In: Bézier and B-Spline Techniques. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04919-8_11
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DOI: https://doi.org/10.1007/978-3-662-04919-8_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07842-2
Online ISBN: 978-3-662-04919-8
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