2012Journal of Jilin University(Science Edition)Requires access

The Blending Problem of Multi-parametric Algebraic Surface Families

Minghao Guo

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Abstract

This paper is devoted to the blending problem of multi-parametric algebraic surface families.We extend the definition of geometric c ontinuity and the blending theory for algebraic surfaces to multi-parametric al gebraic surface families,and finally apply the comprehensive Grbner system method to blend multi-parametric algebraic surface families.Our results show that the computed blending surface families blend the input surface families precisely.

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This paper is devoted to the blending problem of multi-parametric algebraic surface families.We extend the definition of geometric c ontinuity and the blending theory for algebraic surfaces to multi-parametric al gebraic surface families,and finally apply the comprehensive Grbner system method to blend multi-parametric algebraic surface families.Our results show that the computed blending surface families blend the input surface families precisely.

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Available abstract

This paper is devoted to the blending problem of multi-parametric algebraic surface families.We extend the definition of geometric c ontinuity and the blending theory for algebraic surfaces to multi-parametric al gebraic surface families,and finally apply the comprehensive Grbner system method to blend multi-parametric algebraic surface families.Our results show that the computed blending surface families blend the input surface families precisely.

Key concepts: Algebraic surface, Parametric statistics, Algebraic number, Surface (topology), Real algebraic geometry, Mathematics, Dimension of an algebraic variety, Parametric surface

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