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Gardener's spline curve

Imre Juhasz

ANNALES MATHEMATICAE ET INFORMATICAE（2017）

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Abstract
In the well-known gardener's construction of the ellipse we replace the two foci by a finite set of points in the plane, that results in a G(1) spline curve that consists of elliptic arcs, if the set contains at least three non-collinear points. An algorithm is provided for the specification of these elliptic arcs, along with their control point based representation.
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Key words
Gardener's construction,spline curve,rational Bezier representation
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