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doi:10.1016/0010-4485(92)90080-T 
Copyright © 1992 Published by Elsevier Science Ltd.
Procedural interpolation with geometrically continuous cubic splines
Received 27 November 1990;
revised 30 December 1991.
Available online 28 February 2003.
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Abstract
A local interpolation method for curves in
2 or
3 offering G1 continuity is described. A curve is represented as a union of geometrically continuous cubic Bézier segments between each pair of adjacent vertices. At each interpolation point, the procedure determines a tangent direction and two derivative magnitudes on either side of the vertex. The method uses an intuitive geometric, rule-based approach to find a ‘good’ default solution that produces pleasing-looking results even for highly irregular sets of data Various spline properties and their relevance to the method are also discussed.
Author Keywords: procedural interpolation; pleasing splines; geometric continuity
