Base location problems for base-monotone regions

Jinhee Chun; Takashi Horiyama; Takehiro Ito; Natsuda Kaothanthong; Hirotaka Ono; Yota Otachi; Takeshi Tokuyama; Ryuhei Uehara; Takeaki Uno

doi:10.1007/978-3-642-36065-7_7

Base location problems for base-monotone regions

Jinhee Chun, Takashi Horiyama, Takehiro Ito, Natsuda Kaothanthong, Hirotaka Ono, Yota Otachi, Takeshi Tokuyama, Ryuhei Uehara, Takeaki Uno

INF - System Information Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

The problem of decomposing a pixel grid into base-monotone regions was first studied in the context of image segmentation. It is known that for a given pixel grid and baselines, one can compute in polynomial time a maximum-weight region that can be decomposed into disjoint base-monotone regions [Chun et al. ISAAC 2009]. We continue this line of research and show the NP-hardness of the problem of optimally locating k baselines in a given n ×n pixel grid. We also present an O(n³)-time 2-approximation algorithm for this problem. We then study two related problems, the k base-segment problem and the quad-decomposition problem, and present some complexity results for them.

Original language	English
Title of host publication	WALCOM
Subtitle of host publication	Algorithms and Computation - 7th International Workshop, WALCOM 2013, Proceedings
Pages	53-64
Number of pages	12
DOIs	https://doi.org/10.1007/978-3-642-36065-7_7
Publication status	Published - 2013
Event	7th International Workshop on Algorithms and Computation, WALCOM 2013 - Kharagpur, India Duration: 2013 Feb 14 → 2013 Feb 16

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	7748 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	7th International Workshop on Algorithms and Computation, WALCOM 2013
Country/Territory	India
City	Kharagpur
Period	13/2/14 → 13/2/16

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

Access to Document

10.1007/978-3-642-36065-7_7

Cite this

Chun, J., Horiyama, T., Ito, T., Kaothanthong, N., Ono, H., Otachi, Y., Tokuyama, T., Uehara, R., & Uno, T. (2013). Base location problems for base-monotone regions. In WALCOM: Algorithms and Computation - 7th International Workshop, WALCOM 2013, Proceedings (pp. 53-64). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7748 LNCS). https://doi.org/10.1007/978-3-642-36065-7_7

Base location problems for base-monotone regions. / Chun, Jinhee; Horiyama, Takashi; Ito, Takehiro et al.
WALCOM: Algorithms and Computation - 7th International Workshop, WALCOM 2013, Proceedings. 2013. p. 53-64 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7748 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Chun, J, Horiyama, T, Ito, T, Kaothanthong, N, Ono, H, Otachi, Y, Tokuyama, T, Uehara, R & Uno, T 2013, Base location problems for base-monotone regions. in WALCOM: Algorithms and Computation - 7th International Workshop, WALCOM 2013, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 7748 LNCS, pp. 53-64, 7th International Workshop on Algorithms and Computation, WALCOM 2013, Kharagpur, India, 13/2/14. https://doi.org/10.1007/978-3-642-36065-7_7

Chun J, Horiyama T, Ito T, Kaothanthong N, Ono H, Otachi Y et al. Base location problems for base-monotone regions. In WALCOM: Algorithms and Computation - 7th International Workshop, WALCOM 2013, Proceedings. 2013. p. 53-64. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-642-36065-7_7

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AU - Otachi, Yota

AU - Tokuyama, Takeshi

AU - Uehara, Ryuhei

AU - Uno, Takeaki

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Base location problems for base-monotone regions

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