C-shaped G2 Hermite interpolation by rational cubic Bézier curve with conic precision

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)258-264
Journal / PublicationComputer Aided Geometric Design
Volume31
Issue number5
Publication statusPublished - Jun 2014

Abstract

We present a simple method for C-shaped G2 Hermite interpolation by a rational cubic Bézier curve with conic precision. For the interpolating rational cubic Bézier curve, we derive its control points according to two conic Bézier curves, both matching the G1 Hermite data and one end curvature of the given G2 Hermite data, and the weights are obtained by the two given end curvatures. The conic precision property is based on the fact that the two conic Bézier curves are the same when the given G2 Hermite data are sampled from a conic. Both the control points and weights of the resulting rational cubic Bézier curve are expressed in explicit form. © 2014 Elsevier B.V.

Research Area(s)

  • Conic precision, Rational conic Bézier curve, Rational cubic Bézier curve