A convexity preserving interpolation problem is analyzed from a geometrical point of view. A dualization of the usual Bézier techniques allows us to define ...
A scheme for generating plane curves which interpolates given data is described. A curve is obtained by patching together rational cubics and straight-line ...
This algorithm can be used to define a rational convexity preserving interpolant. We also describe some particular dual Bézier curves which are particularly ...
Oct 22, 2024 · The problem of interpolation by a convex curve to the vertices of a convex polygon is considered. A natural 1-parameter family ofC algebraic ...
Apr 13, 2020 · The regression/smoothing algorithm guarantees C2 and convexity but not going through each data points. The Bezier curve construction I supply in ...
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1992 [CAGD] Dual Bézier curves and convexity preserving interpolation. 1 ... In-Citations: 1997 [CAGD] - A new family of convex splines for data interpolation.
The main result of this paper gives the necessary and sufficient conditions for the Abel matrices to preserve the convexity of sequences.
An Analysis of Tension Methods for Convexity-Preserving Interpolation
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Dual Bézier curves and convexity preserving interpolation · J. Carnicer ... 1994. This paper is concerned with the problem of strict convexity preserving ...
[3] Carnicer, J. M., Dual Bézier curves and convexity preserving interpolation, Comput. Aided. Geom. Design 9 (1992), 435–445. [4] Carnicer, J. M., Rational ...
Dual Bézier curves and convexity preserving interpolation. Computer Aided Geometric Design, Vol. 9, No. 6 | 1 Dec 1992. Convexity preserving interpolation and ...