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

Yajuan Li; Chongyang Deng; Weiyin Ma

doi:10.1016/j.cagd.2014.03.002

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 journal › peer-review

Overview

4 Scopus Citations

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Author(s)

Yajuan Li
Chongyang Deng
Weiyin Ma

Related Research Unit(s)

Department of Mechanical and Biomedical Engineering

Detail(s)

Original language	English
Pages (from-to)	258-264
Journal / Publication	Computer Aided Geometric Design
Volume	31
Issue number	5
Publication status	Published - Jun 2014

Link(s)

DOI	DOI https://doi.org/10.1016/j.cagd.2014.03.002 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84900872498&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(fd44069a-958e-4970-ab23-5aeec5779ad6).html

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.