CLC number: TP391
On-line Access:
Received: 2003-02-27
Revision Accepted: 2003-07-07
Crosschecked: 0000-00-00
Cited: 1
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ZHENG Zhi-hao, WANG Guo-zhao. PH-spline approximation for Bézier curve and rendering offset[J]. Journal of Zhejiang University Science A, 2004, 5(3): 343-349.
@article{title="PH-spline approximation for Bézier curve and rendering offset",
author="ZHENG Zhi-hao, WANG Guo-zhao",
journal="Journal of Zhejiang University Science A",
volume="5",
number="3",
pages="343-349",
year="2004",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2004.0343"
}
%0 Journal Article
%T PH-spline approximation for Bézier curve and rendering offset
%A ZHENG Zhi-hao
%A WANG Guo-zhao
%J Journal of Zhejiang University SCIENCE A
%V 5
%N 3
%P 343-349
%@ 1869-1951
%D 2004
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2004.0343
TY - JOUR
T1 - PH-spline approximation for Bézier curve and rendering offset
A1 - ZHENG Zhi-hao
A1 - WANG Guo-zhao
J0 - Journal of Zhejiang University Science A
VL - 5
IS - 3
SP - 343
EP - 349
%@ 1869-1951
Y1 - 2004
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2004.0343
Abstract: In this paper, a G1, C1, C2 PH-spline is employed as an approximation for a given bézier curve within error bound and further renders offset which can be regarded as an approximate offset to the bézier curve. The errors between PH-spline and the bézier curve, the offset to PH-spline and the offset to the given bézier curve are also estimated. A new algorithm for constructing offset to the bézier curve is proposed.
[1] Bercovier, M., Jacobi, A., 1994. Minimization, constraints and composite Bézier curves.Computer Aided Geometric Design,11:533-563.
[2] Choi, H., Han, C.Y., 1999. Medial axis transform and offset curves by Minkowski Pythagorean hodograph curves.Computer-Aided Design,31:59-72.
[3] Coquillar, S., 1987. Computing offsets of B-spline curves.Compute-Aided Design,19(6):305-309.
[4] Farouki, R.T., 1990. Pythagorean-Hodograph Curve in Practical use. IBM Research Report.
[5] Farouki, R.T., 1994. The conformal mapZ
[6] Hoschek, J., Wissel, N., 1988. Optimal approximation conversion of spline curve and spline approximation of offset curves.Computer-Aided Design,20(8):475-483.
[7] Klass, R., 1983. An offset spline approximation for plane cubic spline.Computer Aided Design,15(4):297-299.
[8] Li, Y.M., 1998. Curve offsetting base on Legendre series.Computer Aided Geometric Design,12:711-720.
[9] Lü, W., 1995. Offset-rational parametric plane curves.Computer Aided Geometric Design,12:601-616.
[10] Moon, H.P., Farouki, R.T., 2001. Construction and shape analysis of PH quintic Hermite interpolants.Computer Aided Geometric Design,18:93-115.
[11] Tiller, W., Hanson, E.G., 1984. Offsets of dimensional profiles.IEEE Compute Graph & Application,l4:36-46.
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