|
JAIST Repository >
b. 情報科学研究科・情報科学系 >
b10. 学術雑誌論文等 >
b10-1. 雑誌掲載論文 >
このアイテムの引用には次の識別子を使用してください:
http://hdl.handle.net/10119/4925
|
| タイトル: | Efficient Algorithms for Optimization-based Image Segmentation |
| 著者: | Asano, Tetsuo
Chen, Danny Z.
Katoh, Naoki
Tokuyama, Takeshi |
| 発行日: | 2001-04 |
| 出版者: | World Scientific Publishing |
| 誌名: | International Journal of Computational Geometry & Applications |
| 巻: | 11 |
| 号: | 2 |
| 開始ページ: | 145 |
| 終了ページ: | 166 |
| DOI: | 10.1142/S0218195901000420 |
| 抄録: | Separating an object in an image from its background is a central problem (called segmentation) in pattern recognition and computer vision. In this paper, we study the complexity of the segmentation problem, assuming that the object forms a connected region in an intensity image. We show that the optimization problem of separating a connected region in an n-pixel grid is NP-hard under the interclass variance, a criterion that is used in discriminant analysis. More importantly, we consider the basic case in which the object is separated by two x-monotone curves (i.e., the object itself is x-monotone), and present polynomial-time algorithms for computing exact and approximate optimal segmentation. Our main algorithm for exact optimal segmentation by two x-monotone curves runs in O(n^2) time; this algorithm is based on several techniques such as a parametric optimization formulation, a hand-probing algorithm for the convex hull of an unknown point set, and dynamic programming using fast matrix searching. Our efficient approximation scheme obtains an ε-approximate solution in O(ε^<-1>n log L) time, whereεis any fixed constant with 1>ε>0, and L is the total sum of the absolute values of brightness levels of the image. |
| Rights: | Electronic version of an article published as International Journal of Computational Geometry & Applications, 11(2), 2001, 145-166. DOI:10.1142/S0218195901000420. Copyright World Scientific Publishing Company, http://dx.doi.org/10.1142/S0218195901000420 |
| URI: | http://hdl.handle.net/10119/4925 |
| 資料タイプ: | author |
| 出現コレクション: | b10-1. 雑誌掲載論文 (Journal Articles)
|
このアイテムのファイル:
| ファイル |
記述 |
サイズ | 形式 |
|---|
| C1328.pdf | | 270Kb | Adobe PDF | 見る/開く |
|
当システムに保管されているアイテムはすべて著作権により保護されています。
|
