Abstract
The Bézier curve can be constructed either as a weighted sum of control points or by the process of scaffolding. These are two very different approaches that lead to the same result. A third approach to curve and surface design, employing the process of refinement (also known as subdivision or corner cutting), is the topic of this chapter. Refinement is a general approach that can produce Bézier curves, B-spline curves, and other types of curves. Its main advantage is that it can easily be extended to surfaces.
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© 2006 Springer Science+Business Media, Inc.
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(2006). Subdivision Methods. In: Curves and Surfaces for Computer Graphics. Springer, New York, NY. https://doi.org/10.1007/0-387-28452-4_8
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DOI: https://doi.org/10.1007/0-387-28452-4_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-24196-8
Online ISBN: 978-0-387-28452-1
eBook Packages: Computer ScienceComputer Science (R0)