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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| Format: | Article |
| Language: | English |
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Hindawi Limited
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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doaj-cf33e51b732a422bbb8ac08a8d5906a12020-11-24T20:46:27ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/473582473582An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular PartitionFeng-Gong Lang0Xiao-Ping Xu1School of Mathematical Sciences, Ocean University of China, Qingdao, Shandong 266100, ChinaSchool of Mathematical Sciences, Ocean University of China, Qingdao, Shandong 266100, ChinaA 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.http://dx.doi.org/10.1155/2012/473582 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Feng-Gong Lang Xiao-Ping Xu |
| spellingShingle |
Feng-Gong Lang Xiao-Ping Xu An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Feng-Gong Lang Xiao-Ping Xu |
| author_sort |
Feng-Gong Lang |
| title |
An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition |
| title_short |
An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition |
| title_full |
An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition |
| title_fullStr |
An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition |
| title_full_unstemmed |
An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition |
| title_sort |
upper bound of the bezout number for piecewise algebraic curves over a rectangular partition |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2012-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2012/473582 |
| work_keys_str_mv |
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1716812579180904448 |