Matches in SemOpenAlex for { <https://semopenalex.org/work/W1776243110> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W1776243110 endingPage "24" @default.
- W1776243110 startingPage "13" @default.
- W1776243110 abstract "Given a set ${mathcal P} ={P_0,ldots,P_{k-1}}$ of k convex polygons having n vertices in total in the plane, we consider the problem of finding k translations τ0,…,τk−1 of P0,…,Pk−1 such that the translated copies τiPi are pairwise disjoint and the area or the perimeter of the convex hull of $bigcup_{i=0}^{k-1}tau_iP_i$ is minimized. When k=2, the problem can be solved in linear time but no previous work is known for larger k except a hardness result: it is NP-hard if k is part of input. We show that for k=3 the translation space of P1 and P2 can be decomposed into O(n2) cells in each of which the combinatorial structure of the convex hull remains the same and the area or perimeter function can be fully described with O(1) complexity. Based on this decomposition, we present a first O(n2)-time algorithm that returns an optimal pair of translations minimizing the area or the perimeter of the corresponding convex hull." @default.
- W1776243110 created "2016-06-24" @default.
- W1776243110 creator A5006325296 @default.
- W1776243110 creator A5054175777 @default.
- W1776243110 creator A5067613275 @default.
- W1776243110 creator A5081702341 @default.
- W1776243110 date "2013-01-01" @default.
- W1776243110 modified "2023-10-06" @default.
- W1776243110 title "Bundling Three Convex Polygons to Minimize Area or Perimeter" @default.
- W1776243110 cites W1499082957 @default.
- W1776243110 cites W1566796596 @default.
- W1776243110 cites W1985775166 @default.
- W1776243110 cites W1998691823 @default.
- W1776243110 cites W2021418713 @default.
- W1776243110 cites W2057629368 @default.
- W1776243110 cites W2090164772 @default.
- W1776243110 cites W2158034392 @default.
- W1776243110 doi "https://doi.org/10.1007/978-3-642-40104-6_2" @default.
- W1776243110 hasPublicationYear "2013" @default.
- W1776243110 type Work @default.
- W1776243110 sameAs 1776243110 @default.
- W1776243110 citedByCount "1" @default.
- W1776243110 countsByYear W17762431102015 @default.
- W1776243110 crossrefType "book-chapter" @default.
- W1776243110 hasAuthorship W1776243110A5006325296 @default.
- W1776243110 hasAuthorship W1776243110A5054175777 @default.
- W1776243110 hasAuthorship W1776243110A5067613275 @default.
- W1776243110 hasAuthorship W1776243110A5081702341 @default.
- W1776243110 hasConcept C112680207 @default.
- W1776243110 hasConcept C11413529 @default.
- W1776243110 hasConcept C114614502 @default.
- W1776243110 hasConcept C121684516 @default.
- W1776243110 hasConcept C2524010 @default.
- W1776243110 hasConcept C33923547 @default.
- W1776243110 hasConcept C41008148 @default.
- W1776243110 hasConcept C98503990 @default.
- W1776243110 hasConceptScore W1776243110C112680207 @default.
- W1776243110 hasConceptScore W1776243110C11413529 @default.
- W1776243110 hasConceptScore W1776243110C114614502 @default.
- W1776243110 hasConceptScore W1776243110C121684516 @default.
- W1776243110 hasConceptScore W1776243110C2524010 @default.
- W1776243110 hasConceptScore W1776243110C33923547 @default.
- W1776243110 hasConceptScore W1776243110C41008148 @default.
- W1776243110 hasConceptScore W1776243110C98503990 @default.
- W1776243110 hasLocation W17762431101 @default.
- W1776243110 hasOpenAccess W1776243110 @default.
- W1776243110 hasPrimaryLocation W17762431101 @default.
- W1776243110 hasRelatedWork W1427726556 @default.
- W1776243110 hasRelatedWork W2022522020 @default.
- W1776243110 hasRelatedWork W2023693949 @default.
- W1776243110 hasRelatedWork W2103770283 @default.
- W1776243110 hasRelatedWork W2121790088 @default.
- W1776243110 hasRelatedWork W2774905398 @default.
- W1776243110 hasRelatedWork W2912539935 @default.
- W1776243110 hasRelatedWork W3197677999 @default.
- W1776243110 hasRelatedWork W4293230678 @default.
- W1776243110 hasRelatedWork W4300571961 @default.
- W1776243110 isParatext "false" @default.
- W1776243110 isRetracted "false" @default.
- W1776243110 magId "1776243110" @default.
- W1776243110 workType "book-chapter" @default.