Abstract
Every polynomial curve segment can be represented by its so-called Bézier polygon. The curve and its Bézier polygon are closely related. They have common end points and end tangents, the curve segment lies in the convex hull of its Bézier polygon, etc. Furthermore, one of the fastest and numerically most stable algorithm used to render a polynomial curve is based on the Bézier representation.
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© 2002 Springer-Verlag Berlin Heidelberg
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Prautzsch, H., Boehm, W., Paluszny, M. (2002). Bézier representation. In: Bézier and B-Spline Techniques. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04919-8_2
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DOI: https://doi.org/10.1007/978-3-662-04919-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07842-2
Online ISBN: 978-3-662-04919-8
eBook Packages: Springer Book Archive