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dc.contributor.advisor Goldman, Ronald
dc.creatorSong, Ning
dc.date.accessioned 2018-12-03T18:32:25Z
dc.date.available 2018-12-03T18:32:25Z
dc.date.issued 2007
dc.identifier.urihttps://hdl.handle.net/1911/103668
dc.description.abstract This thesis defines the notion of a μ-basis for an arbitrary number of polynomials in one variable. The properties of these μ-bases are derived, and a straightforward algorithm is provided to calculate a μ-basis for any collection of univariate polynomials. Systems where base points are present are also discussed. μ-bases are then applied to solve implicitization, inversion and intersection problems for rational space curves. Next, a natural one to one correspondence is derived between the singular points of rational planar curves and the axial moving lines that follow these curves. This correspondence is applied together with μ-bases to compute and to analyze all the singular points of low degree rational planar curves.
dc.format.extent 88 pp
dc.language.iso eng
dc.subjectComputer science
Applied sciences
Mu-bases Planar curves
Univariate polynomials
dc.title Mu -bases and their applications in geometric modeling
dc.identifier.digital 304817983
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Computer Science
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.callno THESIS COMP.SCI. 2008 SONG
dc.identifier.citation Song, Ning. "Mu -bases and their applications in geometric modeling." (2007) Diss., Rice University. https://hdl.handle.net/1911/103668.


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