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Geometric Information and Rational Parametrization of Nonsingular Cubic Blending Surfaces
Joint Authors
Wu, Tieru
Zhang, Shugong
Guo, Minghao
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-18
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The techniques for parametrizing nonsingular cubic surfaces have shown to be of great interest in recent years.
This paper is devoted to the rational parametrization of nonsingular cubic blending surfaces.
We claim that these nonsingular cubic blending surfaces can be parametrized using the symbolic computation due to their excellent geometric properties.
Especially for the specific forms of these surfaces, we conclude that they must be F3, F4, or F5 surfaces, and a criterion is given for deciding their surface types.
Besides, using the algorithm proposed by Berry and Patterson in 2001, we obtain the uniform rational parametric representation of these specific forms.
It should be emphasized that our results in this paper are invariant under any nonsingular real projective transform.
Two explicit examples are presented at the end of this paper.
American Psychological Association (APA)
Guo, Minghao& Wu, Tieru& Zhang, Shugong. 2011. Geometric Information and Rational Parametrization of Nonsingular Cubic Blending Surfaces. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-464820
Modern Language Association (MLA)
Guo, Minghao…[et al.]. Geometric Information and Rational Parametrization of Nonsingular Cubic Blending Surfaces. Journal of Applied Mathematics No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-464820
American Medical Association (AMA)
Guo, Minghao& Wu, Tieru& Zhang, Shugong. Geometric Information and Rational Parametrization of Nonsingular Cubic Blending Surfaces. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-464820
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464820