Analysis on Quality Evaluation Criteria for Spline Curves

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With the development of CAD/CAM, reverse engineering, geometric modeling, animation and computer graphics. In the past fifty years, many kinds of spline curve fitting methods have been produced. But, to authors knowledge, quality evaluation criterion about different spline curves are still not established and there is a lack of a comparing standard for analyzing different spline curves. Two spline curve fitting method comparing theorem is given and several various spline curves affecting factors are analyzed in this paper. Some comparable results are obtained by using the proposed quality evaluating theorem to different spline curves.

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99-103

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August 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] P. Les, T. Wayne. The NURBS Book (Second Edition) [M]. Springer-Verlag, New York, (1997).

Google Scholar

[2] F.R. David. An introduction to NURBS: with historical perspective [M]. Morgan Kaufmann Publishers, California, (2000).

Google Scholar

[3] X.X. Zhu. Free form curves and surfaces constructing technology (Fourth Edition) [M]. Sience Press, Bei Jing, (2008).

Google Scholar

[4] G.J. Wang, G.Z. Wang, J.M. Zhen. Computer aided Geometric Design [M]. Higher Education Press, Bei Jing, (2001).

Google Scholar

[5] G.E. Farin. Curves and Surfaces for CAGD: A Practical Guide (Fifth Edition) [M]. Morgan Kaufmann Publishers, California, (2001).

Google Scholar

[6] M.S. Floater, T. Surazhsky. Parameterization for curve interpolation. Topics in Multivariate Approximation and Interpolation. 12(2006) 39–54.

DOI: 10.1016/s1570-579x(06)80004-2

Google Scholar

[7] W. Lu. Curves with chord length parameterization. Computer Aided Geometric Design. 26(2009) 342–350.

DOI: 10.1016/j.cagd.2008.08.001

Google Scholar

[8] A. Kouibiaa, A.J. Lopez-Linares, M. Pasadas. Approximation of discontinuous curves and surfaces with tangent conditions. Journal of Computational and Applied Mathematics. 193(2006) 51–64.

DOI: 10.1016/j.cam.2005.02.021

Google Scholar

[9] Y.J. Yang, W. Zeng, H. Zhang, J.H. Yong, J.C. Paul. Projection of curves on B-spline surfaces using quadratic reparameterization. Graphical Models. 72(2010) 47–59.

DOI: 10.1016/j.gmod.2010.08.001

Google Scholar