We look at the problem: Given a set M of n d-dimensional intervals, find two d-dimensional intervals S, T, such that all intervals in M are enclosed by S or by T, the distribution is balanced and the intervals S and T fulfill a geometric criterion, e.g. like minimum area sum. Up to now no polynomial time algorithm was known for that problem. We present an O(dn log n + d2n2d-1) algorithm for finding an optimal solution.

ENCLOSING MANY BOXES BY AN OPTIMAL PAIR OF BOXES / B., Becker; Franciosa, Paolo Giulio; S., Gschwind; T., Ohler; G., Thiemt; P., Widmayer. - STAMPA. - 577:(1992), pp. 475-486. (Intervento presentato al convegno 9th Annual Symposium on Theoretical Aspects of Computer Science tenutosi a Cachan, France nel February 13-15, 1992).

ENCLOSING MANY BOXES BY AN OPTIMAL PAIR OF BOXES

FRANCIOSA, Paolo Giulio;
1992

Abstract

We look at the problem: Given a set M of n d-dimensional intervals, find two d-dimensional intervals S, T, such that all intervals in M are enclosed by S or by T, the distribution is balanced and the intervals S and T fulfill a geometric criterion, e.g. like minimum area sum. Up to now no polynomial time algorithm was known for that problem. We present an O(dn log n + d2n2d-1) algorithm for finding an optimal solution.
1992
9th Annual Symposium on Theoretical Aspects of Computer Science
axis-parallel rectangles; computational geometry; covering problems
04 Pubblicazione in atti di convegno::04c Atto di convegno in rivista
ENCLOSING MANY BOXES BY AN OPTIMAL PAIR OF BOXES / B., Becker; Franciosa, Paolo Giulio; S., Gschwind; T., Ohler; G., Thiemt; P., Widmayer. - STAMPA. - 577:(1992), pp. 475-486. (Intervento presentato al convegno 9th Annual Symposium on Theoretical Aspects of Computer Science tenutosi a Cachan, France nel February 13-15, 1992).
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/212161
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 13
  • ???jsp.display-item.citation.isi??? 2
social impact