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An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition

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  • Feng-Gong Lang
  • Xiao-Ping Xu

Abstract

A piecewise algebraic curve is a curve defined by the zero set of a bivariate spline function. Given two bivariate spline spaces (Δ) over a domain D with a partition Δ, the Bezout number BN( m,r;n,t ;Δ) is defined as the maximum finite number of the common intersection points of two arbitrary piecewise algebraic curves (Δ). In this paper, an upper bound of the Bezout number for piecewise algebraic curves over a rectangular partition is obtained.

Suggested Citation

  • Feng-Gong Lang & Xiao-Ping Xu, 2012. "An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-12, August.
    • Handle: RePEc:hin:jijmms:473582
    DOI: 10.1155/2012/473582
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