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Fair, G2- and C2-continuous circle splines for the interpolation of sparse data points

✍ Scribed by Carlo H. Séquin; Kiha Lee; Jane Yen

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 613 KB
Volume: 37
Category: Article
ISSN: 0010-4485
DOI: 10.1016/j.cad.2004.06.009

No coin nor oath required. For personal study only.

✦ Synopsis

This paper presents a carefully chosen curve blending scheme between circles, which is based on angles, rather than point positions. The result is a class of circle splines that robustly produce fair-looking G 2 -continuous curves without any cusps or kinks, even through rather challenging, sparse sets of interpolation points. With a simple reparameterization the curves can also be made C 2 -continuous. The same method is usable in the plane, on the sphere, and in 3D space.

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