2021
DOI: 10.1016/j.cagd.2021.101957
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Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using μ-basis

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Cited by 4 publications
(1 citation statement)
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“…Implicitization has been receiving increased attention in the past few years. Traditional implicitization approaches are based on the elimination theory (such as µ-basis [4], Gröbner bases [5,6], resultants [7] and moving curves and surfaces [8,9]), in which the implicitization problem is solved by the elimination of the parametric variables. However, high polynomial degrees of their outputs not only make this form computationally expensive and numerically unstable, but also cause self-intersections and unwanted branches in most cases.…”
Section: Related Workmentioning
confidence: 99%
“…Implicitization has been receiving increased attention in the past few years. Traditional implicitization approaches are based on the elimination theory (such as µ-basis [4], Gröbner bases [5,6], resultants [7] and moving curves and surfaces [8,9]), in which the implicitization problem is solved by the elimination of the parametric variables. However, high polynomial degrees of their outputs not only make this form computationally expensive and numerically unstable, but also cause self-intersections and unwanted branches in most cases.…”
Section: Related Workmentioning
confidence: 99%