CLC number: TP391

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Received: 2006-12-01

Revision Accepted: 2007-02-28

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PAN Yong-juan, WANG Guo-jin. Convexity-preserving interpolation of trigonometric polynomial curves with a shape parameter[J]. Journal of Zhejiang University Science A, 2007, 8(8): 1199-1209.

@article{title="Convexity-preserving interpolation of trigonometric polynomial curves with a shape parameter",

author="PAN Yong-juan, WANG Guo-jin",

journal="Journal of Zhejiang University Science A",

volume="8",

number="8",

pages="1199-1209",

year="2007",

publisher="Zhejiang University Press & Springer",

doi="10.1631/jzus.2007.A1199"

}

%0 Journal Article

%T Convexity-preserving interpolation of trigonometric polynomial curves with a shape parameter

%A PAN Yong-juan

%A WANG Guo-jin

%J Journal of Zhejiang University SCIENCE A

%V 8

%N 8

%P 1199-1209

%@ 1673-565X

%D 2007

%I Zhejiang University Press & Springer

%DOI 10.1631/jzus.2007.A1199

TY - JOUR

T1 - Convexity-preserving interpolation of trigonometric polynomial curves with a shape parameter

A1 - PAN Yong-juan

A1 - WANG Guo-jin

J0 - Journal of Zhejiang University Science A

VL - 8

IS - 8

SP - 1199

EP - 1209

%@ 1673-565X

Y1 - 2007

PB - Zhejiang University Press & Springer

ER -

DOI - 10.1631/jzus.2007.A1199

**Abstract: **In computer aided geometric design (CAGD), it is often needed to produce a convexity-preserving interpolating curve according to the given planar data points. However, most existing pertinent methods cannot generate convexity-preserving interpolating transcendental curves; even constructing convexity-preserving interpolating polynomial curves, it is required to solve a system of equations or recur to a complicated iterative process. The method developed in this paper overcomes the above drawbacks. The basic idea is: first to construct a kind of trigonometric polynomial curves with a shape parameter, and interpolating trigonometric polynomial parametric curves with

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