Representation Method and Degree Selection of Class A Surfaces for Auto-Body

Jia Chuan Xu; Shang Peng Gao; Yong Fu Yin

doi:10.4028/www.scientific.net/AMR.156-157.451

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 156-157Representation Method and Degree Selection of...

Representation Method and Degree Selection of Class A Surfaces for Auto-Body

Abstract:

To represent curves and surfaces unified, many commercial soft-wares adopt non-uniform rational B-spline (NURBS) as the method. The NURBS method includes Bézier, B-spline and so forth. In surfaces smoothing Class A surfaces of auto-body are a kind of surfaces that have high desire. While different representing methods can fit curves and surfaces with prodigiously different qualities and efficiency. So the representing methods and degree selection of curves and surfaces for auto-body are fundamental issues that auto-body engineers must be solved. Based on analyzing the character of Bézier and B-spline representing methods, Bézier method is adopted to represent Class A surfaces of auto-body according to the desire of auto-body surfaces. At the same time, the degree of curves and surfaces for auto-body is limited between 2nd-7th according to the oscillation of high degree curves and surfaces and continuity desire. The example verified that the Bézier method can improve the quality and efficiency.

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Periodical:

Advanced Materials Research (Volumes 156-157)

Pages:

451-455

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.156-157.451

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Online since:

October 2010

Authors:

Jia Chuan Xu, Shang Peng Gao, Yong Fu Yin

Keywords:

Auto-Body, Class A Surface, Degree Selection, Representing Method

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References

[1] Shi Fazhong. Computer Aided Geometric Design and NURBS. Beijing: Beijing University of Aeronautics and Astronautics Press, 1994, 2. in Chinese.

Google Scholar

[2] de Casteljau P. Outillages methods calcul. Technical Report, A. Citioёn, Paris, (1959).

Google Scholar

[3] Schoenberg I. On spline function. In Shisha O. ed. Inequalities, Academic Press, New York, (1967).

Google Scholar

[4] de Boor C. On calculation with B-splines. Journal of approximation theory, 1972, 6(1): 50-62.

Google Scholar

[5] Cox MG. The numerical evaluation of B-splines. Journal of Institute of Mathematics and Its Application, 1972, 10: 134-149.

Google Scholar

[6] Xu Jiachuan, Lei Yucheng, Hong Yingwu, Huang Haibo. Evaluating Method for Class A Surfaces in Reverse Engineering. Automobile technology, 2007. 4: 4-8, in Chinese.

Google Scholar

[7] David Kincaid, Ward Cheney. Numerical analysis: mathematics of scientific computing (3rd Edition). Thomson Learning Inc. (2003).

Google Scholar