Abstract
The computation of the Bezout number, the maximum number of intersection points between two piecewise algebraic curves whose common points are finite, is considered. A piecewise algebraic curve is a curve determined by a bivariate spline function. It is found that the maximum number of intersections depends not only on the degrees and the differentiability of the spline functions, but also on the structure of the partition on which the spline functions are defined.
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Shi, X., Wang, R. The Bezout Number for Piecewise Algebraic Curves. BIT Numerical Mathematics 39, 339–349 (1999). https://doi.org/10.1023/A:1022350131468
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DOI: https://doi.org/10.1023/A:1022350131468