Geometric Information and Rational Parametrization of Nonsingular Cubic Blending Surfaces | Zendy

Minghao Guo | Zendy; Tieru Wu | Zendy; Shugong Zhang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Geometric Information and Rational Parametrization of Nonsingular Cubic Blending Surfaces

Author(s) -

Minghao Guo,

Tieru Wu,

Shugong Zhang

Publication year - 2011

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2011/349315

Subject(s) - invertible matrix , parametrization (atmospheric modeling) , mathematics , rational surface , pure mathematics , invariant (physics) , computation , parametric statistics , surface (topology) , representation (politics) , algebra over a field , geometry , algorithm , physics , mathematical physics , statistics , plasma , quantum mechanics , politics , political science , law , radiative transfer

The techniques for parametrizing nonsingular cubic surfaces have shown tobe 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 3, 4, or5 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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research