FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W48487988> ?p ?o ?g. }

• W48487988 abstract "It is of increasing contemporary interest to preserve ambient isotopy during geometric modeling. Bezier curves are pervasive in computer aided geometric design, as one of the fundamental computational representations for geometric modeling. For Bezier curves, subdivision algorithms create control polygons as piecewise linear (PL) approximations that converge under Hausdorff distance. A natural question is whether subdivision produces topologically reliable PL approximations. Here we focus upon ambient isotopy and prove that sufficiently many subdivisions produce a control polygon ambient isotopic to the Bezier curve. We also derive closed-form formulas to compute the number of subdivision iterations to ensure ambient isotopic equivalence in the resulting approximation. This work relies upon explicitly constructing homeomorphism and ambient isotopy, which provides more algorithmic efficiency than only showing the existence of these equivalence relations." @default.
• W48487988 created "2016-06-24" @default.
• W48487988 creator A5011684155 @default.
• W48487988 creator A5027994945 @default.
• W48487988 creator A5070278946 @default.
• W48487988 date "2012-11-02" @default.
• W48487988 modified "2023-09-27" @default.
• W48487988 title "Topology during Subdivision of Bezier Curves II: Ambient Isotopy" @default.
• W48487988 cites W101934341 @default.
• W48487988 cites W111427416 @default.
• W48487988 cites W139388551 @default.
• W48487988 cites W1535880330 @default.
• W48487988 cites W154763828 @default.
• W48487988 cites W1551207461 @default.
• W48487988 cites W1600752240 @default.
• W48487988 cites W1965432148 @default.
• W48487988 cites W1986748775 @default.
• W48487988 cites W1986838382 @default.
• W48487988 cites W2003173111 @default.
• W48487988 cites W2027786882 @default.
• W48487988 cites W2038875318 @default.
• W48487988 cites W2048175633 @default.
• W48487988 cites W2066021481 @default.
• W48487988 cites W2076208318 @default.
• W48487988 cites W2103027746 @default.
• W48487988 cites W2112144158 @default.
• W48487988 cites W2140016427 @default.
• W48487988 cites W2140258961 @default.
• W48487988 cites W2325575424 @default.
• W48487988 cites W2570266333 @default.
• W48487988 cites W2610588712 @default.
• W48487988 cites W3098122359 @default.
• W48487988 cites W626736314 @default.
• W48487988 cites W633227097 @default.
• W48487988 cites W1447142418 @default.
• W48487988 hasPublicationYear "2012" @default.
• W48487988 type Work @default.
• W48487988 sameAs 48487988 @default.
• W48487988 citedByCount "1" @default.
• W48487988 countsByYear W484879882012 @default.
• W48487988 crossrefType "posted-content" @default.
• W48487988 hasAuthorship W48487988A5011684155 @default.
• W48487988 hasAuthorship W48487988A5027994945 @default.
• W48487988 hasAuthorship W48487988A5070278946 @default.
• W48487988 hasConcept C10728891 @default.
• W48487988 hasConcept C114614502 @default.
• W48487988 hasConcept C118615104 @default.
• W48487988 hasConcept C126042441 @default.
• W48487988 hasConcept C134306372 @default.
• W48487988 hasConcept C143392562 @default.
• W48487988 hasConcept C164660894 @default.
• W48487988 hasConcept C166957645 @default.
• W48487988 hasConcept C184720557 @default.
• W48487988 hasConcept C190694206 @default.
• W48487988 hasConcept C202444582 @default.
• W48487988 hasConcept C206423108 @default.
• W48487988 hasConcept C2524010 @default.
• W48487988 hasConcept C2778876713 @default.
• W48487988 hasConcept C2780069185 @default.
• W48487988 hasConcept C33923547 @default.
• W48487988 hasConcept C40319758 @default.
• W48487988 hasConcept C41008148 @default.
• W48487988 hasConcept C76155785 @default.
• W48487988 hasConcept C95457728 @default.
• W48487988 hasConceptScore W48487988C10728891 @default.
• W48487988 hasConceptScore W48487988C114614502 @default.
• W48487988 hasConceptScore W48487988C118615104 @default.
• W48487988 hasConceptScore W48487988C126042441 @default.
• W48487988 hasConceptScore W48487988C134306372 @default.
• W48487988 hasConceptScore W48487988C143392562 @default.
• W48487988 hasConceptScore W48487988C164660894 @default.
• W48487988 hasConceptScore W48487988C166957645 @default.
• W48487988 hasConceptScore W48487988C184720557 @default.
• W48487988 hasConceptScore W48487988C190694206 @default.
• W48487988 hasConceptScore W48487988C202444582 @default.
• W48487988 hasConceptScore W48487988C206423108 @default.
• W48487988 hasConceptScore W48487988C2524010 @default.
• W48487988 hasConceptScore W48487988C2778876713 @default.
• W48487988 hasConceptScore W48487988C2780069185 @default.
• W48487988 hasConceptScore W48487988C33923547 @default.
• W48487988 hasConceptScore W48487988C40319758 @default.
• W48487988 hasConceptScore W48487988C41008148 @default.
• W48487988 hasConceptScore W48487988C76155785 @default.
• W48487988 hasConceptScore W48487988C95457728 @default.
• W48487988 hasLocation W484879881 @default.
• W48487988 hasOpenAccess W48487988 @default.
• W48487988 hasPrimaryLocation W484879881 @default.
• W48487988 hasRelatedWork W1444138660 @default.
• W48487988 hasRelatedWork W151414339 @default.
• W48487988 hasRelatedWork W1594267047 @default.
• W48487988 hasRelatedWork W1779884702 @default.
• W48487988 hasRelatedWork W1969985130 @default.
• W48487988 hasRelatedWork W1994930564 @default.
• W48487988 hasRelatedWork W1996070913 @default.
• W48487988 hasRelatedWork W2002598109 @default.
• W48487988 hasRelatedWork W2040900886 @default.
• W48487988 hasRelatedWork W2076006312 @default.
• W48487988 hasRelatedWork W2145474716 @default.
• W48487988 hasRelatedWork W2223141336 @default.
• W48487988 hasRelatedWork W2254557822 @default.

• next