Piecewise Curves and Surfaces

Part of the Springer Undergraduate Texts in Mathematics and Technology book series (SUMAT)

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.


Surface Patch Spline Curve Hermite Interpolation Spline Surface Quadratic Spline 
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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceUniversity of HaifaHaifaIsrael

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