Matches in SemOpenAlex for { <https://semopenalex.org/work/W1971343670> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W1971343670 endingPage "175" @default.
- W1971343670 startingPage "153" @default.
- W1971343670 abstract "A functionF(x,y,t)that assigns to each parametertan algebraic curveF(x,y,t)=0is called a moving curve. A moving curveF(x,y,t)is said to follow a rational curvex=x(t)/w(t),y=y(t)/w(t)ifF(x(t)/w(t), y(t)/w(t),t)is identically zero. A new technique for finding the implicit equation of a rational curve based on the notion of moving conics that follow the curve is investigated. For rational curves of degree 2nwith no base points the method of moving conics generates the implicit equation as the determinant of ann×nmatrix, where each entry is a quadratic polynomial inxandy, whereas standard resultant methods generate the implicit equation as the determinant of a 2n× 2nmatrix where each entry is a linear polynomial inxandy. Thus implicitization using moving conics yields more compact representations for the implicit equation than standard resultant techniques, and these compressed expressions may lead to faster evaluation algorithms. Moreover whereas resultants fail in the presence of base points, the method of moving conics actually simplifies, because when base points are present some of the moving conics reduce to moving lines." @default.
- W1971343670 created "2016-06-24" @default.
- W1971343670 creator A5001964228 @default.
- W1971343670 creator A5056483408 @default.
- W1971343670 creator A5086134113 @default.
- W1971343670 date "1997-02-01" @default.
- W1971343670 modified "2023-09-28" @default.
- W1971343670 title "Implicitizing Rational Curves by the Method of Moving Algebraic Curves" @default.
- W1971343670 cites W1488976814 @default.
- W1971343670 cites W1992373021 @default.
- W1971343670 cites W2007778702 @default.
- W1971343670 cites W2022637219 @default.
- W1971343670 cites W2043775053 @default.
- W1971343670 cites W2045615359 @default.
- W1971343670 cites W2053508523 @default.
- W1971343670 cites W2064044318 @default.
- W1971343670 cites W2232657515 @default.
- W1971343670 doi "https://doi.org/10.1006/jsco.1996.0081" @default.
- W1971343670 hasPublicationYear "1997" @default.
- W1971343670 type Work @default.
- W1971343670 sameAs 1971343670 @default.
- W1971343670 citedByCount "75" @default.
- W1971343670 countsByYear W19713436702012 @default.
- W1971343670 countsByYear W19713436702013 @default.
- W1971343670 countsByYear W19713436702014 @default.
- W1971343670 countsByYear W19713436702015 @default.
- W1971343670 countsByYear W19713436702018 @default.
- W1971343670 countsByYear W19713436702019 @default.
- W1971343670 countsByYear W19713436702020 @default.
- W1971343670 countsByYear W19713436702021 @default.
- W1971343670 countsByYear W19713436702022 @default.
- W1971343670 crossrefType "journal-article" @default.
- W1971343670 hasAuthorship W1971343670A5001964228 @default.
- W1971343670 hasAuthorship W1971343670A5056483408 @default.
- W1971343670 hasAuthorship W1971343670A5086134113 @default.
- W1971343670 hasBestOaLocation W19713436701 @default.
- W1971343670 hasConcept C108598597 @default.
- W1971343670 hasConcept C114614502 @default.
- W1971343670 hasConcept C118615104 @default.
- W1971343670 hasConcept C129844170 @default.
- W1971343670 hasConcept C134306372 @default.
- W1971343670 hasConcept C207043602 @default.
- W1971343670 hasConcept C2524010 @default.
- W1971343670 hasConcept C33923547 @default.
- W1971343670 hasConcept C42058472 @default.
- W1971343670 hasConcept C90119067 @default.
- W1971343670 hasConcept C9376300 @default.
- W1971343670 hasConceptScore W1971343670C108598597 @default.
- W1971343670 hasConceptScore W1971343670C114614502 @default.
- W1971343670 hasConceptScore W1971343670C118615104 @default.
- W1971343670 hasConceptScore W1971343670C129844170 @default.
- W1971343670 hasConceptScore W1971343670C134306372 @default.
- W1971343670 hasConceptScore W1971343670C207043602 @default.
- W1971343670 hasConceptScore W1971343670C2524010 @default.
- W1971343670 hasConceptScore W1971343670C33923547 @default.
- W1971343670 hasConceptScore W1971343670C42058472 @default.
- W1971343670 hasConceptScore W1971343670C90119067 @default.
- W1971343670 hasConceptScore W1971343670C9376300 @default.
- W1971343670 hasIssue "2-3" @default.
- W1971343670 hasLocation W19713436701 @default.
- W1971343670 hasOpenAccess W1971343670 @default.
- W1971343670 hasPrimaryLocation W19713436701 @default.
- W1971343670 hasRelatedWork W1610984693 @default.
- W1971343670 hasRelatedWork W1971343670 @default.
- W1971343670 hasRelatedWork W2327029135 @default.
- W1971343670 hasRelatedWork W2330386763 @default.
- W1971343670 hasRelatedWork W2603499936 @default.
- W1971343670 hasRelatedWork W2755215523 @default.
- W1971343670 hasRelatedWork W2789030339 @default.
- W1971343670 hasRelatedWork W3206990529 @default.
- W1971343670 hasRelatedWork W4307783561 @default.
- W1971343670 hasRelatedWork W4307982529 @default.
- W1971343670 hasVolume "23" @default.
- W1971343670 isParatext "false" @default.
- W1971343670 isRetracted "false" @default.
- W1971343670 magId "1971343670" @default.
- W1971343670 workType "article" @default.