An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition
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 piecewi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/473582 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |