An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition
An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition
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Publisher
Cairo, Egypt: Hindawi Limiteds
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Language
English
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Publisher
Cairo, Egypt: Hindawi Limiteds
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Contents
A piecewise algebraic curve is a curve defined by the zero set of a bivariate spline function. Given two bivariate spline spaces Smr (Δ) and Snt (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 f(x, y)=0 and g...
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Full title
An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition
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TN_cdi_doaj_primary_oai_doaj_org_article_cf33e51b732a422bbb8ac08a8d5906a1
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_cf33e51b732a422bbb8ac08a8d5906a1
Other Identifiers
ISSN
0161-1712
E-ISSN
1687-0425
DOI
10.1155/2012/473582
