Cited By
View all- Cao JWang G(2011)Non-uniform B-spline curveswith multiple shape parametersJournal of Zhejiang University SCIENCE C10.1631/jzus.C100038112:10(800-808)Online publication date: 5-Oct-2011
Trigonometric polynomial uniform B-spline surface with shape parameter
Pages 1357 - 1363
Abstract
In this paper, we study in depth a new modeling method of the parameter curve and surface, i.e. uniform trigonometric polynomial B-spline surface with shape parameters. We have designed a series of algorithms. We also develop a Space Freedom Surface Modeling System under Microsoft Visual C++6.0 programmed circumstance, with some examples given as the application of the model. Through experiments, we present the range of change of the shape parameters in this model and discuss its effect on the surface when the controlling polygon remains constant.
References
[1]
Schoenberg I. J., On trigonometric spline interpolation. J. Math. Mech. 1964, 13 (5): 795--825.
[2]
Sánchez-Reyes, J., Harmonic rational Bézier curves, p-Bézier curves and trigonometric polynomials. Computer Aided Geometric Design, 1998, 15: 909--923.
[3]
Mainar E., Peña, J. M., Sánchez-Reyes J., Shape preserving alternatives to the rational Bézier model, Computer Aided Geometric Design, 2001, 18:37--60.
[4]
Han X. L., Quadratic trigonometric polynomial curves with a shape parameter. Computer Aided Geometric Design, 2002, 19(7): 503--512.
[5]
Zhang J. W., C-curves: An extension of cubic curves. Computer Aided Geometric Design, 1996, 13; 199--217
[6]
Zhang J W., Two different forms of C-B-Splines. Computer Aided Geometric Design, 1997, 14:31--41
[7]
Peña J M., Shape preserving representations for trigonometric polynomial curves. Computer Aided Geometric Design, 1997, 14:5--11
[8]
Lü Yonggang, Wang Guozhao, Yang Xunnian. Uniform trigonometric polynomial B-spline curves. Science in China (Series E), 2002, 32(2), 281~288. (in Chinese)
[9]
Ding Min, Wang Guozhao, T-Bézier Curves Based on Algebraic and Trigonometric Polynomials. Chinese Journal of Computers. 2004, 27(8): 1021~1026 (in Chinese)
[10]
Wang Guozhao, Chen Qinyu, Zhou Minghua, NUAT B-spline curves. Computer Aided Geometric Design. 2004, 21:193--205.
[11]
Wang wentao, Wang Guozhao. Trigonometric Polynomial Uniform B-Spline with Shape Parameter. Chinese Journal of Computer, 2005, 28(7): 1192~1198 (in Chinese)
Index Terms
- Trigonometric polynomial uniform B-spline surface with shape parameter
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Published In
November 2009
1479 pages
ISBN:9781605587103
DOI:10.1145/1655925
Copyright © 2009 ACM.
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Publication History
Published: 24 November 2009
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- Research-article
Funding Sources
- National Natural Science Foundation of China
- Beijing Nova Program
- Beijing Municipal Educational Committee's Science and Technology Development Plan Key Project
Conference
ICIS '09
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ICIS '09: The 2nd International Conference on Interaction Sciences: Information Technology, Culture and Human
November 24 - 26, 2009
Seoul, Korea
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View all- Cao JWang G(2011)Non-uniform B-spline curveswith multiple shape parametersJournal of Zhejiang University SCIENCE C10.1631/jzus.C100038112:10(800-808)Online publication date: 5-Oct-2011
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