A circle-preserving C2 Hermite interpolatory subdivision scheme with tension control

Authors:
L. Romani
Affiliations:
Department of Mathematics and Applications, University of Milano-Bicocca, Via R. Cozzi 53, 20125 Milano, Italy
Venue:
Computer Aided Geometric Design
Year:
2010

Citing 4
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Abstract

We present a tension-controlled 2-point Hermite interpolatory subdivision scheme that is capable of reproducing circles starting from a sequence of sample points with any arbitrary spacing and appropriately chosen first and second derivatives. Whenever the tension parameter is set equal to 1, the limit curve coincides with the rational quintic Hermite interpolant to the given data and has guaranteed C^2 continuity, while for other positive tension values, continuity of curvature is conjectured and empirically shown by a wide range of experiments.