2009-02-06, English, Article, Journal or magazine article edition: Minimum decomposition of a digital surface into digital plane segments is NP-hard. Sivignon, Isabelle; Coeurjolly, David

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Physical Description
  • Magazine/​Journal article
Published
  • Elsevier B.V., 2009 Feb 6
Language
  • English

Edition details

Title
  • Minimum decomposition of a digital surface into digital plane segments is NP-hard.
Appears In
  • Discrete Applied Mathematics, v.157, no.3, 2009 Feb 6, p.558(13) (ISSN: 0166-218X)
Author
  • Sivignon, Isabelle
  • Coeurjolly, David
Published
  • Elsevier B.V., 2009 Feb 6
Physical Description
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • To link to full-text access for this article, visit this link: http:/​/​dx.doi.org/​10.1016/​j.dam.2008.05.028 Byline: Isabelle Sivignon, David Coeurjolly Abstract: This paper deals with the complexity of the decomposition of a digital surface into digital plane segments (DPSs for short). We prove that the decision problem (does there exist a decomposition with less than I' DPSs?) is NP-complete, and thus that the optimization problem (finding the minimum number of DPSs) is NP-hard. The proof is based on a polynomial reduction of any instance of the well-known 3-SAT problem to an instance of the digital surface decomposition problem. A geometric model for the 3-SAT problem is proposed. Author Affiliation: LIRIS, CNRS UMR-5205, Universite Claude Bernard Lyon 1, 43 boulevard du 11 novembre 1918, F-69622 Villeurbanne, France Article History: Received 30 April 2007; Revised 5 November 2007; Accepted 15 May 2008
Terms of Use
  • COPYRIGHT 2009 Elsevier B.V.
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 350819208

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