[HTML][HTML] The Bezout number for linear piecewise algebraic curves

R Wang, S Wang - Computers & mathematics with applications, 2010 - Elsevier
R Wang, S Wang
Computers & mathematics with applications, 2010Elsevier
A piecewise algebraic curve is a curve determined by the zero set of a bivariate spline
function. This paper discusses the Bezout number, the maximum number of intersections
between two linear piecewise algebraic curves whose intersections are finite, on regular
triangulations. We give an upper bound of the Bezout number for linear piecewise algebraic
curves (BN (1, 0; 1, 0; Δ)) on the triangulation with an odd interior vertex. For the
triangulations which satisfy a vertex coloring condition, we compute the exact value of the …
A piecewise algebraic curve is a curve determined by the zero set of a bivariate spline function. This paper discusses the Bezout number, the maximum number of intersections between two linear piecewise algebraic curves whose intersections are finite, on regular triangulations. We give an upper bound of the Bezout number for linear piecewise algebraic curves (BN(1,0;1,0;Δ)) on the triangulation with an odd interior vertex. For the triangulations which satisfy a vertex coloring condition, we compute the exact value of the Bezout number BN(1,0;1,0;Δ).
Elsevier
顯示最佳搜尋結果。 查看所有結果