Matches in SemOpenAlex for { <https://semopenalex.org/work/W1966069213> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W1966069213 endingPage "552" @default.
- W1966069213 startingPage "526" @default.
- W1966069213 abstract "A finite collection of x-monotone unbounded Jordan curves in the plane is called a family of pseudo-lines if every pair of curves intersect in at most one point, and the two curves cross each other there. Let L be such a collection of n pseudo-lines, and let P be a set of m points in $reals^2$. Extending a result of Goodman [Discrete Math., 32 (1980), pp. 27--35], we define a duality transform that maps L to a set L* of points in $reals^2$ and P to a set P* of (x-monotone) pseudo-lines in $reals^2$, so that the incidence and the above-below relations between the points and the pseudo-lines are preserved. We present an efficient algorithm for computing the dual arrangement {eus A}$(P^*)$ under an appropriate model of computation. We also present a dynamic data structure for reporting, in $O(m^eps + k)$ time, all k points of P that lie below a query arc, which is either a circular arc or a portion of the graph of a polynomial of fixed degree. This result is needed for computing the dual arrangement for certain classes of pseudo-lines arising in several applications, but is also interesting in its own right. We present a few applications of our dual arrangement algorithm, such as computing incidences between points and pseudo-lines and computing a subset of faces in a pseudo-line arrangement. Next, we present an efficient algorithm for cutting a set of circles into arcs so that every pair of arcs intersect in at most one point, i.e., the resulting arcs constitute a collection of pseudo-segments. By combining this algorithm with our algorithm for computing the dual arrangement of pseudo-lines, we obtain efficient algorithms for several problems involving arrangements of circles or circular arcs, such as reporting or counting incidences between points and circles and computing a set of marked faces in arrangements of circles." @default.
- W1966069213 created "2016-06-24" @default.
- W1966069213 creator A5055296785 @default.
- W1966069213 creator A5058649592 @default.
- W1966069213 date "2005-01-01" @default.
- W1966069213 modified "2023-09-27" @default.
- W1966069213 title "Pseudo-Line Arrangements: Duality, Algorithms, and Applications" @default.
- W1966069213 cites W155342555 @default.
- W1966069213 cites W1874694348 @default.
- W1966069213 cites W1980092773 @default.
- W1966069213 cites W1994094252 @default.
- W1966069213 cites W1998382219 @default.
- W1966069213 cites W2016890960 @default.
- W1966069213 cites W2018858611 @default.
- W1966069213 cites W2027277859 @default.
- W1966069213 cites W2027387410 @default.
- W1966069213 cites W2032966476 @default.
- W1966069213 cites W2035884884 @default.
- W1966069213 cites W2055022247 @default.
- W1966069213 cites W2056196311 @default.
- W1966069213 cites W2059155916 @default.
- W1966069213 cites W2066789110 @default.
- W1966069213 cites W2067893166 @default.
- W1966069213 cites W2074065886 @default.
- W1966069213 cites W2091316025 @default.
- W1966069213 cites W2101764588 @default.
- W1966069213 cites W2103893986 @default.
- W1966069213 cites W2112893040 @default.
- W1966069213 cites W2146306925 @default.
- W1966069213 cites W2153204081 @default.
- W1966069213 cites W2163913133 @default.
- W1966069213 cites W2568603896 @default.
- W1966069213 cites W3138103828 @default.
- W1966069213 cites W3147681132 @default.
- W1966069213 cites W4214494916 @default.
- W1966069213 cites W4300640952 @default.
- W1966069213 doi "https://doi.org/10.1137/s0097539703433900" @default.
- W1966069213 hasPublicationYear "2005" @default.
- W1966069213 type Work @default.
- W1966069213 sameAs 1966069213 @default.
- W1966069213 citedByCount "32" @default.
- W1966069213 countsByYear W19660692132012 @default.
- W1966069213 countsByYear W19660692132013 @default.
- W1966069213 countsByYear W19660692132014 @default.
- W1966069213 countsByYear W19660692132015 @default.
- W1966069213 countsByYear W19660692132016 @default.
- W1966069213 countsByYear W19660692132017 @default.
- W1966069213 countsByYear W19660692132018 @default.
- W1966069213 countsByYear W19660692132019 @default.
- W1966069213 countsByYear W19660692132021 @default.
- W1966069213 countsByYear W19660692132023 @default.
- W1966069213 crossrefType "journal-article" @default.
- W1966069213 hasAuthorship W1966069213A5055296785 @default.
- W1966069213 hasAuthorship W1966069213A5058649592 @default.
- W1966069213 hasConcept C11413529 @default.
- W1966069213 hasConcept C114614502 @default.
- W1966069213 hasConcept C118615104 @default.
- W1966069213 hasConcept C198352243 @default.
- W1966069213 hasConcept C2524010 @default.
- W1966069213 hasConcept C2778023678 @default.
- W1966069213 hasConcept C2834757 @default.
- W1966069213 hasConcept C33923547 @default.
- W1966069213 hasConcept C45374587 @default.
- W1966069213 hasConceptScore W1966069213C11413529 @default.
- W1966069213 hasConceptScore W1966069213C114614502 @default.
- W1966069213 hasConceptScore W1966069213C118615104 @default.
- W1966069213 hasConceptScore W1966069213C198352243 @default.
- W1966069213 hasConceptScore W1966069213C2524010 @default.
- W1966069213 hasConceptScore W1966069213C2778023678 @default.
- W1966069213 hasConceptScore W1966069213C2834757 @default.
- W1966069213 hasConceptScore W1966069213C33923547 @default.
- W1966069213 hasConceptScore W1966069213C45374587 @default.
- W1966069213 hasIssue "3" @default.
- W1966069213 hasLocation W19660692131 @default.
- W1966069213 hasOpenAccess W1966069213 @default.
- W1966069213 hasPrimaryLocation W19660692131 @default.
- W1966069213 hasRelatedWork W1509548334 @default.
- W1966069213 hasRelatedWork W1965529758 @default.
- W1966069213 hasRelatedWork W1973827263 @default.
- W1966069213 hasRelatedWork W1978042415 @default.
- W1966069213 hasRelatedWork W2087855825 @default.
- W1966069213 hasRelatedWork W2320116587 @default.
- W1966069213 hasRelatedWork W2356639438 @default.
- W1966069213 hasRelatedWork W2388499291 @default.
- W1966069213 hasRelatedWork W4234896028 @default.
- W1966069213 hasRelatedWork W4385847186 @default.
- W1966069213 hasVolume "34" @default.
- W1966069213 isParatext "false" @default.
- W1966069213 isRetracted "false" @default.
- W1966069213 magId "1966069213" @default.
- W1966069213 workType "article" @default.