2008 | OriginalPaper | Chapter
On Interpolation by Spline Curves with Shape Parameters
Authors : Miklós Hoffmann, Imre Juhász
Published in: Advances in Geometric Modeling and Processing
Publisher: Springer Berlin Heidelberg
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Interpolation of a sequence of points by spline curves generally requires the solution of a large system of equations. In this paper we provide a method which requires only local computation instead of a global system of equations and works for a large class of curves. This is a generalization of a method which previously developed for B-spline, NURBS and trigonometric CB-spline curves. Moreover, instead of numerical shape parameters we provide intuitive, user-friendly, control point based modification of the interpolating curve and the possibility of optimization as well.