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A Blossoming Development of SplinesB-Splines

A Blossoming Development of Splines: B-Splines [Suppose we want to draw a complicated curve. We could use a high-degree Bézier curve, but there are several problems with this approach: We cannot represent cusps (well, not easily, anyway).It is expensive to evaluate high-degree Bézier curves.A large number of control points may be required to get the shape we want.The effect of modifying middle control points is diffuse, and they become less useful as shape parameters.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Blossoming Development of SplinesB-Splines

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Publisher
Springer International Publishing
Copyright
© Springer Nature Switzerland AG 2006
ISBN
978-3-031-79515-2
Pages
37 –59
DOI
10.1007/978-3-031-79516-9_3
Publisher site
See Chapter on Publisher Site

Abstract

[Suppose we want to draw a complicated curve. We could use a high-degree Bézier curve, but there are several problems with this approach: We cannot represent cusps (well, not easily, anyway).It is expensive to evaluate high-degree Bézier curves.A large number of control points may be required to get the shape we want.The effect of modifying middle control points is diffuse, and they become less useful as shape parameters.]

Published: Jan 1, 2006

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