An interpolation subspline scheme related to B-spline techniques

Author

Röschel, O.

Author_Institution

Inst. of Geometry, Tech. Univ. Graz, Austria

fYear

1997

fDate

23-27 Jun 1997

Firstpage

131

Lastpage

136

Abstract

We construct (integral) interpolating subspline curves for given data points and the knot vector. The algorithm is very close to B spline approximation. The idea is to blend interpolating Lagrangian splines using B spline techniques. Everything is connected in an affinely invariant way with the control points and the knot vector. We are able to show that our scheme produces high quality subsplines, which include known procedures like Overhauser or quintic interpolation schemes. In addition we may sweep to B splines and return in a very lucid way. Examples show the power of the method. The given procedure allows generalisations to rational subsplines and to tensor product interpolating surfaces

Keywords

computational geometry; interpolation; splines (mathematics); B spline approximation; B spline techniques; control points; data points; high quality subsplines; integral interpolating subspline curves; interpolating Lagrangian splines; interpolation subspline scheme; knot vector; quintic interpolation schemes; rational subsplines; tensor product interpolating surfaces; Approximation algorithms; Geometry; Interpolation; Lagrangian functions; Polynomials; Spline; Tensile stress;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Graphics International, 1997. Proceedings

Conference_Location

Hasselt and Diepenbeek

Print_ISBN

0-7695-0185-0

Type

conf

DOI

10.1109/CGI.1997.601292

Filename

601292