On interpolation by spline curves with shape parameters

Authors:
Miklós Hoffmann;Imre Juhász
Affiliations:
Institute of Mathematics and Computer Science, Károly Eszterházy College, Eger, Hungary;Department of Descriptive Geometry, University of Miskolc, Hungary
Venue:
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Year:
2008

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Abstract

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 Bspline, 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.