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CLC number: TP391
On-line Access: 2024-08-27
Received: 2023-10-17
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Two-order Hermite vector-interpolating subdivision schemes
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FAN Min, KANG Bao-sheng, ZHAO Hua. Two-order Hermite vector-interpolating subdivision schemes[J]. Journal of Zhejiang University Science A, 2006, 7(9): 1566-1571.
@article{title="Two-order Hermite vector-interpolating subdivision schemes",
author="FAN Min, KANG Bao-sheng, ZHAO Hua",
journal="Journal of Zhejiang University Science A",
volume="7",
number="9",
pages="1566-1571",
year="2006",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A1566"
}
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%T Two-order Hermite vector-interpolating subdivision schemes
%A FAN Min
%A KANG Bao-sheng
%A ZHAO Hua
%J Journal of Zhejiang University SCIENCE A
%V 7
%N 9
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A1566
TY - JOUR
T1 - Two-order Hermite vector-interpolating subdivision schemes
A1 - FAN Min
A1 - KANG Bao-sheng
A1 - ZHAO Hua
J0 - Journal of Zhejiang University Science A
VL - 7
IS - 9
SP - 1566
EP - 1571
%@ 1673-565X
Y1 - 2006
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2006.A1566
Abstract: A family of two-order Hermite vector-interpolating subdivision schemes is proposed and its convergence and continuity are analyzed. The iterative level can be estimated for given error. The sufficient conditions of C2 continuity are proved. geometric features of subdivision curves, such as line segments, cusps and inflection points, are obtained by appending some conditions to initial vectorial Hermite sequence. An algorithm is presented for generating geometric features. For an initial sequence of two-order Hermite elements from unit circle, the numerical error of the 4th subdivided level is O(10−4).
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