Abstract
In this chapter we combine the concepts of Sections 1.4 and 1.5 of Chapter 1 and those of Chapter 3 to obtain NonUniform Rational B-Spline (NURBS) curves and surfaces. We present definitions and general properties and derive formulas and algorithms for the derivatives of NURBS curves and surfaces in terms of their nonrational counterparts. The earliest published works on NURBS are [Vers75; Till83]. A more recent survey can be found in [Pieg91a].
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© 1997 Springer-Verlag Berlin Heidelberg
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Piegl, L., Tiller, W. (1997). Rational B-spline Curves and Surfaces. In: The NURBS Book. Monographs in Visual Communication. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59223-2_4
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DOI: https://doi.org/10.1007/978-3-642-59223-2_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-61545-3
Online ISBN: 978-3-642-59223-2
eBook Packages: Springer Book Archive