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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2006 Springer Science+Business Media, Inc.
About this chapter
Cite this chapter
(2006). Subdivision Methods. In: Curves and Surfaces for Computer Graphics. Springer, New York, NY. https://doi.org/10.1007/0-387-28452-4_8
Download citation
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)