CLC number: TP391.72
On-line Access:
Received: 2006-03-20
Revision Accepted: 2006-05-23
Crosschecked: 0000-00-00
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ZHANG Xing-wang, WANG Guo-jin. A new algorithm for designing developable Bézier surfaces[J]. Journal of Zhejiang University Science A, 2006, 7(12): 2050-2056.
@article{title="A new algorithm for designing developable Bézier surfaces",
author="ZHANG Xing-wang, WANG Guo-jin",
journal="Journal of Zhejiang University Science A",
volume="7",
number="12",
pages="2050-2056",
year="2006",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A2050"
}
%0 Journal Article
%T A new algorithm for designing developable Bézier surfaces
%A ZHANG Xing-wang
%A WANG Guo-jin
%J Journal of Zhejiang University SCIENCE A
%V 7
%N 12
%P 2050-2056
%@ 1673-565X
%D 2006
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A2050
TY - JOUR
T1 - A new algorithm for designing developable Bézier surfaces
A1 - ZHANG Xing-wang
A1 - WANG Guo-jin
J0 - Journal of Zhejiang University Science A
VL - 7
IS - 12
SP - 2050
EP - 2056
%@ 1673-565X
Y1 - 2006
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2006.A2050
Abstract: A new algorithm is presented that generates developable bézier surfaces through a bézier curve called a directrix. The algorithm is based on differential geometry theory on necessary and sufficient conditions for a surface which is developable, and on degree evaluation formula for parameter curves and linear independence for bernstein basis. No nonlinear characteristic equations have to be solved. Moreover the vertex for a cone and the edge of regression for a tangent surface can be obtained easily. Aumann’s algorithm for developable surfaces is a special case of this paper.
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