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2015 | OriginalPaper | Buchkapitel

Object Segmentation and Markov Random Fields

verfasst von : Y Boykov, PhD

Erschienen in: Handbook of Biomedical Imaging

Verlag: Springer US

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Abstract

This chapter discusses relationships between graph cut approach to object delineation and other standard techniques optimizing segmentation boundaries. Graph cut method is presented in the context of globally optimal labeling of binary Markov Random Fields (MRFs). We review algorithms details and show several 2D and 3D examples.

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Fußnoten
1
Impossibility theorem in [38] shows that no clustering algorithm can simultaneously satisfy three basic axioms on scale-invariance, richness, and consistency. Thus, any clustering method has some bias.
 
2
If necessary, one can build a graph with resolution finer than the pixel grid.
 
3
[20] can be seen as a hierarchical version of standard push-relabel method [26].
 
4
[37] is a notable exception.
 
5
A typed or hand-written letter is an example of a binary image. Restoration of such an image may involve removal of a salt and pepper noise.
 
6
Each pair of connected nodes on a directed graph is linked by two distinct (directed) edges (p, q) and (q, p). Directed edges can be useful in applications (see Sect. 3.3).
 
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Metadaten
Titel
Object Segmentation and Markov Random Fields
verfasst von
Y Boykov, PhD
Copyright-Jahr
2015
Verlag
Springer US
DOI
https://doi.org/10.1007/978-0-387-09749-7_1

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