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http://hdl.handle.net/10119/13756
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| Title: | Base location problems for base-monotone regions |
| Authors: | Chun, Jinhee
Horiyama, Takashi
Ito, Takehiro
Kaothanthong, Natsuda
Ono, Hirotaka
Otachi, Yota
Tokuyama, Takeshi
Uehara, Ryuhei
Uno, Takeaki |
| Keywords: | pixel grid
image segmentation
computational geometry
base-monotone regions |
| Issue Date: | 2013-02-14 |
| Publisher: | Springer |
| Magazine name: | Lecture Notes in Computer Science |
| Volume: | 7748 |
| Start page: | 53 |
| End page: | 64 |
| DOI: | 10.1007/978-3-642-36065-7_7 |
| Abstract: | The problem of decomposing a pixel grid into base-monotoneregions was first studied in the context of image segmentation. It is known that for a given n × n pixel grid and baselines, one can compute in O(n^3) time a maximum-weight region that can be decomposed into disjoint base-monotone regions [Chun et al. ISAAC 2009]. To complement this fact, we first show the NP-hardness of the problem of optimally locating k baselines in a given pixel grid. Next we present an O(n^3)-time 2-approximation algorithm for this problem. We also study some polynomial-time solvable cases, and variants of the problem. |
| Rights: | This is the author-created version of Springer, Jinhee Chun, Takashi Horiyama, Takehiro Ito, Natsuda Kaothanthong, Hirotaka Ono, Yota Otachi, Takeshi Tokuyama, Ryuhei Uehara, and Takeaki Uno, Lecture Notes in Computer Science, 7748, 2013, 53-64. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/978-3-642-36065-7_7 |
| URI: | http://hdl.handle.net/10119/13756 |
| Material Type: | author |
| Appears in Collections: | b10-1. 雑誌掲載論文 (Journal Articles)
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