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Erschienen in:
2010 | OriginalPaper | Buchkapitel
9. Piecewise Curves and Surfaces
verfasst von : Vladimir Rovenski
Erschienen in: Modeling of Curves and Surfaces with MATLAB®
Verlag: Springer New York
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Abstract
After an introductory section, in Section 9.2 we will consider Bézier curves. Then we will discuss the important notions of parametric C
k
- continuity and geometric C
k
-continuity of piecewise curves. Section 9.3 is devoted to (parametrically C
k
-continuous) Hermite interpolation and its applications to spline curves. In Section 9.4 we will study β-splines, which are geometrically C
k
-continuous. We will also briefly survey their particular case, B-splines, which are parametrically C
k
-continuous. In Sections 9.5 and 9.6 we will study similar problems for piecewise surfaces. Along the way we will create and apply several M-files that are given in Section A.4.