Matches in SemOpenAlex for { <https://semopenalex.org/work/W4288309620> ?p ?o ?g. }
Showing items 1 to 61 of
61
with 100 items per page.
- W4288309620 abstract "Voronoi cells of varieties encode many features of their metric geometry. We prove that each Voronoi or Delaunay cell of a plane curve appears as the limit of a sequence of cells obtained from point samples of the curve. We use this result to study metric features of plane curves, including the medial axis, curvature, evolute, bottlenecks, and reach. In each case, we provide algebraic equations defining the object and, where possible, give formulas for the degrees of these algebraic varieties. We show how to identify the desired metric feature from Voronoi or Delaunay cells, and therefore how to approximate it by a finite point sample from the variety." @default.
- W4288309620 created "2022-07-28" @default.
- W4288309620 creator A5002246290 @default.
- W4288309620 creator A5014453109 @default.
- W4288309620 date "2019-06-26" @default.
- W4288309620 modified "2023-09-30" @default.
- W4288309620 title "Voronoi Cells in Metric Algebraic Geometry of Plane Curves" @default.
- W4288309620 doi "https://doi.org/10.48550/arxiv.1906.11337" @default.
- W4288309620 hasPublicationYear "2019" @default.
- W4288309620 type Work @default.
- W4288309620 citedByCount "0" @default.
- W4288309620 crossrefType "posted-content" @default.
- W4288309620 hasAuthorship W4288309620A5002246290 @default.
- W4288309620 hasAuthorship W4288309620A5014453109 @default.
- W4288309620 hasBestOaLocation W42883096201 @default.
- W4288309620 hasConcept C129782007 @default.
- W4288309620 hasConcept C134306372 @default.
- W4288309620 hasConcept C162324750 @default.
- W4288309620 hasConcept C176217482 @default.
- W4288309620 hasConcept C17825722 @default.
- W4288309620 hasConcept C195065555 @default.
- W4288309620 hasConcept C198043062 @default.
- W4288309620 hasConcept C21547014 @default.
- W4288309620 hasConcept C24881265 @default.
- W4288309620 hasConcept C2524010 @default.
- W4288309620 hasConcept C28719098 @default.
- W4288309620 hasConcept C33923547 @default.
- W4288309620 hasConcept C43809302 @default.
- W4288309620 hasConcept C68010082 @default.
- W4288309620 hasConcept C9376300 @default.
- W4288309620 hasConceptScore W4288309620C129782007 @default.
- W4288309620 hasConceptScore W4288309620C134306372 @default.
- W4288309620 hasConceptScore W4288309620C162324750 @default.
- W4288309620 hasConceptScore W4288309620C176217482 @default.
- W4288309620 hasConceptScore W4288309620C17825722 @default.
- W4288309620 hasConceptScore W4288309620C195065555 @default.
- W4288309620 hasConceptScore W4288309620C198043062 @default.
- W4288309620 hasConceptScore W4288309620C21547014 @default.
- W4288309620 hasConceptScore W4288309620C24881265 @default.
- W4288309620 hasConceptScore W4288309620C2524010 @default.
- W4288309620 hasConceptScore W4288309620C28719098 @default.
- W4288309620 hasConceptScore W4288309620C33923547 @default.
- W4288309620 hasConceptScore W4288309620C43809302 @default.
- W4288309620 hasConceptScore W4288309620C68010082 @default.
- W4288309620 hasConceptScore W4288309620C9376300 @default.
- W4288309620 hasLocation W42883096201 @default.
- W4288309620 hasOpenAccess W4288309620 @default.
- W4288309620 hasPrimaryLocation W42883096201 @default.
- W4288309620 hasRelatedWork W1568423349 @default.
- W4288309620 hasRelatedWork W1588722399 @default.
- W4288309620 hasRelatedWork W2040798369 @default.
- W4288309620 hasRelatedWork W2050109994 @default.
- W4288309620 hasRelatedWork W2356870869 @default.
- W4288309620 hasRelatedWork W2609006132 @default.
- W4288309620 hasRelatedWork W2954088401 @default.
- W4288309620 hasRelatedWork W4224330095 @default.
- W4288309620 hasRelatedWork W4288309620 @default.
- W4288309620 hasRelatedWork W1898853828 @default.
- W4288309620 isParatext "false" @default.
- W4288309620 isRetracted "false" @default.
- W4288309620 workType "article" @default.