A. Tijini et P. Sablonniere, APPROXIMATION OF CONVEX CONTOURS BY CUBIC, QUADRATIC OR CONVEX C-1 PERIODIC PARAMETRIZED SPLINES, Modelisation mathematique et analyse numerique, 32(6), 1998, pp. 729-746
Given a closed convex polygonal curve of the plane, we construct param
eterized periodical and convex (quadratic or cubic) spline curves of c
lass C-1 which interpolate to the vertices of the polygon and preserve
its convexity. (C) Elsevier, Paris.