Fair, G(2)- and C-2-continuous circle splines for the interpolation of sparse data points
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. (C) 2004 Elsevier Ltd. All rights reserved.
circle splines cad curves and surfaces geometric modeling sparse data interpolation