Abstract
The Bézier representation of triangular patches generalizes the univariate Bézier representation naturally. Except for the variation diminishing property, basically all properties of the Bézier representation of curves have a surface equivalent. The Bézier representation over triangles can be generalized further to Bézier representations over multi-dimensional simplices, see Chapter 19.
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© 2002 Springer-Verlag Berlin Heidelberg
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Prautzsch, H., Boehm, W., Paluszny, M. (2002). Bézier representation of triangular patches. In: Bézier and B-Spline Techniques. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04919-8_10
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DOI: https://doi.org/10.1007/978-3-662-04919-8_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07842-2
Online ISBN: 978-3-662-04919-8
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