A Multi-Layer 'Gas of Circles' Markov Random Field Model for the Extraction of Overlapping Near-Circular Objects (bibtex)
by Jozsef Nemeth, Zoltan Kato, Ian Jermyn
Abstract:
We propose a multi-layer binary Markov random field (MRF) model that assigns high probability to object configurations in the image domain consisting of an unknown number of possibly touching or overlapping near-circular objects of approximately a given size. Each layer has an associated binary field that specifies a region corresponding to objects. Overlapping objects are represented by regions in different layers. Within each layer, long-range interactions favor connected components of approximately circular shape, while regions in different layers that overlap are penalized. Used as a prior coupled with a suitable data likelihood, the model can be used for object extraction from images, e.g. cells in biological images or densely-packed tree crowns in remote sensing images. We present a theoretical and experimental analysis of the model, and demonstrate its performance on various synthetic and biomedical images.
Reference:
Jozsef Nemeth, Zoltan Kato, Ian Jermyn, A Multi-Layer 'Gas of Circles' Markov Random Field Model for the Extraction of Overlapping Near-Circular Objects, In Proceedings of Advanced Concepts for Intelligent Vision Systems (Jacques Blanc-Talon, Wilfried Philips, Dan Popescu, Paul Scheunders, Richard Kleihorst, eds.), volume 6915 of Lecture Notes in Computer Science, Ghent, Belgium, pp. 171-182, 2011, Springer.
Bibtex Entry:
@string{acivs="Proceedings of Advanced Concepts for Intelligent Vision Systems"}
@string{lncs="Lecture Notes in Computer Science"}
@string{springer="Springer"}
@INPROCEEDINGS{Nemeth-etal2011,
  author = {Jozsef Nemeth and Zoltan Kato and Ian Jermyn},
  title = {A Multi-Layer 'Gas of Circles' {M}arkov Random Field Model for the
	Extraction of Overlapping Near-Circular Objects},
  booktitle = acivs,
  year = {2011},
  editor = {Blanc-Talon, Jacques and Philips, Wilfried and Popescu, Dan and Scheunders,
	Paul and Kleihorst, Richard},
  volume = {6915},
  series = lncs,
  pages = {171--182},
  address = {Ghent, Belgium},
  month = aug,
  publisher = springer,
  abstract = {We propose a multi-layer binary Markov random field (MRF) model that
	assigns high probability to object configurations in the image domain
	consisting of an unknown number of possibly touching or overlapping
	near-circular objects of approximately a given size. Each layer has
	an associated binary field that specifies a region corresponding
	to objects. Overlapping objects are represented by regions in different
	layers. Within each layer, long-range interactions favor connected
	components of approximately circular shape, while regions in different
	layers that overlap are penalized. Used as a prior coupled with a
	suitable data likelihood, the model can be used for object extraction
	from images, e.g. cells in biological images or densely-packed tree
	crowns in remote sensing images. We present a theoretical and experimental
	analysis of the model, and demonstrate its performance on various
	synthetic and biomedical images.},
  pdf = {papers/acivs2011.pdf}
}
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