The Blending Problem of Multi-parametric Algebraic Surface Families
Minghao Guo
Abstract
Minghao Guo
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.
Key concepts: Algebraic surface, Parametric statistics, Algebraic number, Surface (topology), Real algebraic geometry, Mathematics, Dimension of an algebraic variety, Parametric surface