Journal for Geometry and Graphics, Vol. 1, No. 2, pp. 91 - 103 (1997)

Subdivision of Linear Corner Cutting Curves

Günter Aumann

Mathematisches Institut II, Universität Karlsruhe,
D-76128 Karlsruhe, Germany,

Abstract: The most important properties of Bézier and B-spline curves are the convex hull property, the affine invariance, the possibility to subdivide and the variation diminishing property. Therefore it would be of great interest to have a larger class of point controlled curves with the same properties. It is known that all corner cutting curves have the first two properties. In this paper we deal with the subdivision of corner cutting curves, especially of linear corner cutting curves. For uniformly tangent corner cutting curves (a subclass which contains B-spline curves) we present a simple method for computing the control points of the new curves.

Keywords: Corner cutting, Bézier curves, B-spline curves, subdivision

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