Abstract
B-spline methods for curves and surfaces were first proposed in the 1940s but were seriously developed only in the 1970s, by several researchers, most notably R. Riesenfeld. They have been studied extensively, have been considerably extended since the 1970s, and much is currently known about them. The designation „B“ stands for Basis, so the full name of this approach to curve and surface design is the basis spline. This chapter discusses the important types of B-spline curves and surfaces, including the most versatile one, the nonuniform rational B-spline (NURBS, Section 7.14)
Keywords
- Weight Function
- Control Point
- Tangent Vector
- Joint Point
- Control Polygon
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© 2006 Springer Science+Business Media, Inc.
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(2006). B-Spline Approximation. In: Curves and Surfaces for Computer Graphics. Springer, New York, NY. https://doi.org/10.1007/0-387-28452-4_7
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DOI: https://doi.org/10.1007/0-387-28452-4_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-24196-8
Online ISBN: 978-0-387-28452-1
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