Interactive color image segmentation with linear programming
Image segmentation is an important and fundamental task for image and vision understanding. This paper describes a linear programming (LP) approach for segmenting a color image into multiple regions. Compared with the recently proposed semi-definite programming (SDP)-based approach, our approach has...
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| Vydané v: | Machine vision and applications Ročník 21; číslo 4; s. 403 - 412 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Berlin/Heidelberg
Springer-Verlag
01.06.2010
|
| Predmet: | |
| ISSN: | 0932-8092, 1432-1769 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | Image segmentation is an important and fundamental task for image and vision understanding. This paper describes a linear programming (LP) approach for segmenting a color image into multiple regions. Compared with the recently proposed semi-definite programming (SDP)-based approach, our approach has a simpler mathematical formulation, and a far lower computational complexity. In particular, to segment an image of
M
×
N
pixels into
k
classes, our method requires only
O
((
M
N
k
)
m
) complexity—a sharp contrast to the complexity of
O
((
M
N
k
)
2
n
) if the SDP method is adopted, where
m
and
n
are the polynomial complexity of the corresponding LP solver and SDP solver, respectively (in general we have
m
≪
n
). Such a significant reduction in computation readily enables our algorithm to process color images of reasonable sizes. For example, while the existing SDP relaxation algorithm is only able to segment a toy-size image of, e.g., 10 × 10 to 30 × 30 pixels in hours time, our algorithm can process larger color image of, say, 100 × 100 to 500 × 500 image in much shorter time. |
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| Bibliografia: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| ISSN: | 0932-8092 1432-1769 |
| DOI: | 10.1007/s00138-008-0171-x |