Camera placement in integer lattices: (extended abstract)
Abstract: "We consider new techniques for studying an art gallery problem (the camera placement problem) in the infinite lattice L[superscript d] of d tuples of integers. A lattice point A is visible from a camera C (positioned at a vertex of L[superscript d]) if A [does not equal] C and if the...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
1990
|
| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS
90,47 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Abstract: "We consider new techniques for studying an art gallery problem (the camera placement problem) in the infinite lattice L[superscript d] of d tuples of integers. A lattice point A is visible from a camera C (positioned at a vertex of L[superscript d]) if A [does not equal] C and if the line segment joining A and C crosses no other lattice vertex. By using a combination of probabilistic, combinatorial optimization and algorithmic techniques we can determine in polynomial time, for any given number s [<or =] 5[superscript d] of cameras, the position they must occupy in the lattice L[superscript d] in order to maximize their visibility. This improves previous results for s [<or =] 3[superscript d] cameras." |
| Beschreibung: | 12 S. |
Internformat
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| 100 | 1 | |a Pocchiola, Michel |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Camera placement in integer lattices |b (extended abstract) |c Michel Pocchiola ; Evangelos Kranakis |
| 264 | 1 | |a Amsterdam |c 1990 | |
| 300 | |a 12 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS |v 90,47 | |
| 520 | 3 | |a Abstract: "We consider new techniques for studying an art gallery problem (the camera placement problem) in the infinite lattice L[superscript d] of d tuples of integers. A lattice point A is visible from a camera C (positioned at a vertex of L[superscript d]) if A [does not equal] C and if the line segment joining A and C crosses no other lattice vertex. By using a combination of probabilistic, combinatorial optimization and algorithmic techniques we can determine in polynomial time, for any given number s [<or =] 5[superscript d] of cameras, the position they must occupy in the lattice L[superscript d] in order to maximize their visibility. This improves previous results for s [<or =] 3[superscript d] cameras." | |
| 650 | 4 | |a Computational geometry | |
| 700 | 1 | |a Kranakis, Evangelos |e Verfasser |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |
| 810 | 2 | |a Department of Computer Science: Report CS |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 90,47 |w (DE-604)BV008928356 |9 90,47 | |
| 856 | 4 | 1 | |u https://ir.cwi.nl/pub/5681 |x Verlag |z kostenfrei |3 Volltext |
| 912 | |a ebook | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-005925581 | ||
Datensatz im Suchindex
| _version_ | 1804123311907536896 |
|---|---|
| any_adam_object | |
| author | Pocchiola, Michel Kranakis, Evangelos |
| author_facet | Pocchiola, Michel Kranakis, Evangelos |
| author_role | aut aut |
| author_sort | Pocchiola, Michel |
| author_variant | m p mp e k ek |
| building | Verbundindex |
| bvnumber | BV008973931 |
| collection | ebook |
| ctrlnum | (OCoLC)29452317 (DE-599)BVBBV008973931 |
| format | Book |
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| id | DE-604.BV008973931 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:27:46Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005925581 |
| oclc_num | 29452317 |
| open_access_boolean | 1 |
| owner | DE-29T DE-91G DE-BY-TUM |
| owner_facet | DE-29T DE-91G DE-BY-TUM |
| physical | 12 S. |
| psigel | ebook |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS |
| spelling | Pocchiola, Michel Verfasser aut Camera placement in integer lattices (extended abstract) Michel Pocchiola ; Evangelos Kranakis Amsterdam 1990 12 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS 90,47 Abstract: "We consider new techniques for studying an art gallery problem (the camera placement problem) in the infinite lattice L[superscript d] of d tuples of integers. A lattice point A is visible from a camera C (positioned at a vertex of L[superscript d]) if A [does not equal] C and if the line segment joining A and C crosses no other lattice vertex. By using a combination of probabilistic, combinatorial optimization and algorithmic techniques we can determine in polynomial time, for any given number s [<or =] 5[superscript d] of cameras, the position they must occupy in the lattice L[superscript d] in order to maximize their visibility. This improves previous results for s [<or =] 3[superscript d] cameras." Computational geometry Kranakis, Evangelos Verfasser aut Erscheint auch als Online-Ausgabe Department of Computer Science: Report CS Centrum voor Wiskunde en Informatica <Amsterdam> 90,47 (DE-604)BV008928356 90,47 https://ir.cwi.nl/pub/5681 Verlag kostenfrei Volltext |
| spellingShingle | Pocchiola, Michel Kranakis, Evangelos Camera placement in integer lattices (extended abstract) Computational geometry |
| title | Camera placement in integer lattices (extended abstract) |
| title_auth | Camera placement in integer lattices (extended abstract) |
| title_exact_search | Camera placement in integer lattices (extended abstract) |
| title_full | Camera placement in integer lattices (extended abstract) Michel Pocchiola ; Evangelos Kranakis |
| title_fullStr | Camera placement in integer lattices (extended abstract) Michel Pocchiola ; Evangelos Kranakis |
| title_full_unstemmed | Camera placement in integer lattices (extended abstract) Michel Pocchiola ; Evangelos Kranakis |
| title_short | Camera placement in integer lattices |
| title_sort | camera placement in integer lattices extended abstract |
| title_sub | (extended abstract) |
| topic | Computational geometry |
| topic_facet | Computational geometry |
| url | https://ir.cwi.nl/pub/5681 |
| volume_link | (DE-604)BV008928356 |
| work_keys_str_mv | AT pocchiolamichel cameraplacementinintegerlatticesextendedabstract AT kranakisevangelos cameraplacementinintegerlatticesextendedabstract |