Matches in SemOpenAlex for { <https://semopenalex.org/work/W4307062020> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W4307062020 abstract "We investigate the ray-length distributions for two different rectangular versions of Gilbert's tessellation. In the full rectangular version, lines extend either horizontally (with east- and west-growing rays) or vertically (north- and south-growing rays) from seed points which form a Poisson point process, each ray stopping when another ray is met. In the half rectangular version, east and south growing rays do not interact with west and north rays. For the half rectangular tessellation we compute analytically, via recursion, a series expansion for the ray-length distribution, whilst for the full rectangular version we develop an accurate simulation technique, based in part on the stopping-set theory of Zuyev, to accomplish the same. We demonstrate the remarkable fact that plots of the two distributions appear to be identical when the intensity of seeds in the half model is twice that in the full model. Our paper explores this coincidence mindful of the fact that, for one model, our results are from a simulation (with inherent sampling error). We go on to develop further analytic theory for the half-Gilbert model using stopping-set ideas once again, with some novel features. Using our theory, we obtain exact expressions for the first and second moment of ray length in the half-Gilbert model. For all practical purposes, these results can be applied to the full-Gilbert model as much better approximations than those provided by Mackissack and Miles." @default.
- W4307062020 created "2022-10-23" @default.
- W4307062020 creator A5005349239 @default.
- W4307062020 creator A5036899505 @default.
- W4307062020 creator A5040402081 @default.
- W4307062020 date "2012-01-27" @default.
- W4307062020 modified "2023-09-24" @default.
- W4307062020 title "Full and Half Gilbert Tessellations with Rectangular Cells" @default.
- W4307062020 doi "https://doi.org/10.48550/arxiv.1201.5780" @default.
- W4307062020 hasPublicationYear "2012" @default.
- W4307062020 type Work @default.
- W4307062020 citedByCount "0" @default.
- W4307062020 crossrefType "posted-content" @default.
- W4307062020 hasAuthorship W4307062020A5005349239 @default.
- W4307062020 hasAuthorship W4307062020A5036899505 @default.
- W4307062020 hasAuthorship W4307062020A5040402081 @default.
- W4307062020 hasBestOaLocation W43070620201 @default.
- W4307062020 hasConcept C100906024 @default.
- W4307062020 hasConcept C105795698 @default.
- W4307062020 hasConcept C110121322 @default.
- W4307062020 hasConcept C11413529 @default.
- W4307062020 hasConcept C121332964 @default.
- W4307062020 hasConcept C121864883 @default.
- W4307062020 hasConcept C127313418 @default.
- W4307062020 hasConcept C134306372 @default.
- W4307062020 hasConcept C142724271 @default.
- W4307062020 hasConcept C143724316 @default.
- W4307062020 hasConcept C151730666 @default.
- W4307062020 hasConcept C16757284 @default.
- W4307062020 hasConcept C168773036 @default.
- W4307062020 hasConcept C177264268 @default.
- W4307062020 hasConcept C179254644 @default.
- W4307062020 hasConcept C199360897 @default.
- W4307062020 hasConcept C204787440 @default.
- W4307062020 hasConcept C2524010 @default.
- W4307062020 hasConcept C2779832538 @default.
- W4307062020 hasConcept C28719098 @default.
- W4307062020 hasConcept C33923547 @default.
- W4307062020 hasConcept C41008148 @default.
- W4307062020 hasConcept C43817857 @default.
- W4307062020 hasConcept C71924100 @default.
- W4307062020 hasConcept C74650414 @default.
- W4307062020 hasConceptScore W4307062020C100906024 @default.
- W4307062020 hasConceptScore W4307062020C105795698 @default.
- W4307062020 hasConceptScore W4307062020C110121322 @default.
- W4307062020 hasConceptScore W4307062020C11413529 @default.
- W4307062020 hasConceptScore W4307062020C121332964 @default.
- W4307062020 hasConceptScore W4307062020C121864883 @default.
- W4307062020 hasConceptScore W4307062020C127313418 @default.
- W4307062020 hasConceptScore W4307062020C134306372 @default.
- W4307062020 hasConceptScore W4307062020C142724271 @default.
- W4307062020 hasConceptScore W4307062020C143724316 @default.
- W4307062020 hasConceptScore W4307062020C151730666 @default.
- W4307062020 hasConceptScore W4307062020C16757284 @default.
- W4307062020 hasConceptScore W4307062020C168773036 @default.
- W4307062020 hasConceptScore W4307062020C177264268 @default.
- W4307062020 hasConceptScore W4307062020C179254644 @default.
- W4307062020 hasConceptScore W4307062020C199360897 @default.
- W4307062020 hasConceptScore W4307062020C204787440 @default.
- W4307062020 hasConceptScore W4307062020C2524010 @default.
- W4307062020 hasConceptScore W4307062020C2779832538 @default.
- W4307062020 hasConceptScore W4307062020C28719098 @default.
- W4307062020 hasConceptScore W4307062020C33923547 @default.
- W4307062020 hasConceptScore W4307062020C41008148 @default.
- W4307062020 hasConceptScore W4307062020C43817857 @default.
- W4307062020 hasConceptScore W4307062020C71924100 @default.
- W4307062020 hasConceptScore W4307062020C74650414 @default.
- W4307062020 hasLocation W43070620201 @default.
- W4307062020 hasLocation W43070620202 @default.
- W4307062020 hasOpenAccess W4307062020 @default.
- W4307062020 hasPrimaryLocation W43070620201 @default.
- W4307062020 hasRelatedWork W1973239818 @default.
- W4307062020 hasRelatedWork W1984259065 @default.
- W4307062020 hasRelatedWork W2950533298 @default.
- W4307062020 hasRelatedWork W2951984584 @default.
- W4307062020 hasRelatedWork W3006812880 @default.
- W4307062020 hasRelatedWork W3126130376 @default.
- W4307062020 hasRelatedWork W4210862026 @default.
- W4307062020 hasRelatedWork W4246083730 @default.
- W4307062020 hasRelatedWork W4299021936 @default.
- W4307062020 hasRelatedWork W4302798652 @default.
- W4307062020 isParatext "false" @default.
- W4307062020 isRetracted "false" @default.
- W4307062020 workType "article" @default.