Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jsc.2007.07.011
DC FieldValue
dc.title0/0 Simplifies implicitization
dc.contributor.authorChionh, E.-W.
dc.date.accessioned2013-07-04T07:43:51Z
dc.date.available2013-07-04T07:43:51Z
dc.date.issued2008
dc.identifier.citationChionh, E.-W. (2008). 0/0 Simplifies implicitization. Journal of Symbolic Computation 43 (6-7) : 475-489. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jsc.2007.07.011
dc.identifier.issn07477171
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/39538
dc.description.abstractA base point of a surface rational parametrization maps to an indeterminate surface point (0/0,0/0,0/0). A quotient resultant becomes indeterminate when it specializes to 0/0. These double anomalies seem hazardous to implicitization. But surprisingly, when they do happen simultaneously, the implicitization result may become simpler. This desirable situation arises when base points are due to a corner-cut parametric monomial support and the corresponding quotient resultant is indeterminate due to the collinearity of corner control vertices. The simplification effect is quite substantial: the implicit polynomial is an a priori known maximal minor from the numerator determinant of the quotient resultant, consequently not only the implicitization determinant is shrunk but division is avoided altogether. © 2007 Elsevier Ltd. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.jsc.2007.07.011
dc.sourceScopus
dc.subjectBase points
dc.subjectCorner cutting
dc.subjectDixon resultants
dc.subjectExposed points
dc.subjectImplicitization
dc.subjectQuotient resultants
dc.typeArticle
dc.contributor.departmentCOMPUTER SCIENCE
dc.description.doi10.1016/j.jsc.2007.07.011
dc.description.sourcetitleJournal of Symbolic Computation
dc.description.volume43
dc.description.issue6-7
dc.description.page475-489
dc.identifier.isiut000255803000007
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