TY - GEN

T1 - Base location problems for base-monotone regions

AU - Chun, Jinhee

AU - Horiyama, Takashi

AU - Ito, Takehiro

AU - Kaothanthong, Natsuda

AU - Ono, Hirotaka

AU - Otachi, Yota

AU - Tokuyama, Takeshi

AU - Uehara, Ryuhei

AU - Uno, Takeaki

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84873812867&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84873812867&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-36065-7_7

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

M3 - Conference contribution

AN - SCOPUS:84873812867

SN - 9783642360640

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 53

EP - 64

BT - WALCOM

T2 - 7th International Workshop on Algorithms and Computation, WALCOM 2013

Y2 - 13 February 2013 through 15 February 2013

ER -