An upper bound of the Bezout number for piecewise algebraic curves

• Autores: Jinming Wu, Dianxuan Gong, Xiaolei Zhang
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 273, Nº 1, 2015, págs. 214-224
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.06.015
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• Resumen

  • A piecewise algebraic curve is a curve determined by the zero set of a bivariate spline function. Based on the discussion of the number of the zeros of homogeneous trigonometric splines with different smoothness and the common points of two piecewise algebraic curves over a star partition, a better upper bound of Bezout number of two piecewise algebraic curves over arbitrary triangulation is found. Moreover, upper bounds of the Bezout number BN(m, r; n, r;Ä) for piecewise algebraic curves over several special partitions such as rectangular partition, type-1 triangulation and type-2 triangulation are obtained.