Abstract
The surfaces described in this chapter are obtained by transforming a curve. They are not generated as interpolations or approximations of points or vectors and are con- sequently different from the surfaces described in previous chapters. A reader who wishes a full understanding of this chapter should be familiar with the important three- dimensional transformations (rotation, translation, scaling, reflection, and shearing)and how they are described mathematically by a 4 × 4 transformation matrix. This mate- rial is available in most texts on computer graphics, but the next paragraph is a short summary, for those who only need a refresher.
Keywords
- Control Point
- Transformation Matrix
- Rotation Matrix
- Surface Patch
- NURBS Curve
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 2006 Springer Science+Business Media, Inc.
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(2006). Sweep Surfaces. In: Curves and Surfaces for Computer Graphics. Springer, New York, NY. https://doi.org/10.1007/0-387-28452-4_9
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DOI: https://doi.org/10.1007/0-387-28452-4_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-24196-8
Online ISBN: 978-0-387-28452-1
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