IBM Journal of Research and Development
Planar spirals that match G2 Hermite data
Computer Aided Geometric Design
The generalised Cornu spiral and its application to span generation
Journal of Computational and Applied Mathematics - Special issue on computational methods in computer graphics
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
G2 curve design with a pair of Pythagorean Hodograph quintic spiral segments
Computer Aided Geometric Design
Computer-Aided Design
Transition between concentric or tangent circles with a single segment of G2 PH quintic curve
Computer Aided Geometric Design
An involute spiral that matches G2 Hermite data in the plane
Computer Aided Geometric Design
Applying inversion to construct planar, rational spirals that satisfy two-point G2 Hermite data
Computer Aided Geometric Design
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A convex G^2 Hermite interpolation problem of concentric curvature elements is considered in this paper. It is first proved that there is no spiral arc solution with turning angle less than or equal to @p and then, that any convex solution admits at least two vertices. The curvature and the evolute profiles of such an interpolant are analyzed. In particular, conditions for the existence of a G^2 convex interpolant with prescribed extremal curvatures are given.