Adding flexibility to piecewise quadratic curves and surfaces

Authors:
Nira Gruberger;David Levin;Charles K. Chui
Affiliations:
Department of Mathematics, Texas A&M University, College Station, TX, 77843-3368, USA;School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, Israel 69978;Department of Mathematics, Texas A&M University, College Station, TX, 77843-3368, USA
Venue:
Computer Aided Geometric Design
Year:
1993

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Abstract

Abstract: A simple method is presented for adding flexibility to quadratic Be'zier curves. The new curve is also piecewise quadratic with a doubled number of quadratic segments, but with the same number of inflection points and the same number of possible curvature discontinuities. In the case of convex control polygon, the new curve can be designed to beG^2. The generalization to surfaces is also presented.