A multi-layer phase field model for extracting multiple near-circular objects

Csaba Molnar, Z. Kato, Ian Jermyn

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

This paper proposes a functional that assigns low 'energy' to sets of subsets of the image domain consisting of a number of possibly overlapping near-circular regions of approximately a given radius: a 'gas of circles'. The model can be used as a prior for object extraction whenever the objects conform to the 'gas of circles' geometry, e.g. cells in biological images. Configurations are represented by a multi-layer phase field. Each layer has an associated function, regions being defined by thresholding. Intra-layer interactions assign low energy to configurations consisting of non-overlapping near-circular regions, while overlapping regions are represented in separate layers. Inter-layer interactions penalize overlaps. Here we present a theoretical and experimental analysis of the model.

Original languageEnglish
Title of host publicationProceedings - International Conference on Pattern Recognition
Pages1427-1430
Number of pages4
Publication statusPublished - 2012
Event21st International Conference on Pattern Recognition, ICPR 2012 - Tsukuba, Japan
Duration: Nov 11 2012Nov 15 2012

Other

Other21st International Conference on Pattern Recognition, ICPR 2012
CountryJapan
CityTsukuba
Period11/11/1211/15/12

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ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition

Cite this

Molnar, C., Kato, Z., & Jermyn, I. (2012). A multi-layer phase field model for extracting multiple near-circular objects. In Proceedings - International Conference on Pattern Recognition (pp. 1427-1430). [6460409]

A multi-layer phase field model for extracting multiple near-circular objects. / Molnar, Csaba; Kato, Z.; Jermyn, Ian.

Proceedings - International Conference on Pattern Recognition. 2012. p. 1427-1430 6460409.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Molnar, C, Kato, Z & Jermyn, I 2012, A multi-layer phase field model for extracting multiple near-circular objects. in Proceedings - International Conference on Pattern Recognition., 6460409, pp. 1427-1430, 21st International Conference on Pattern Recognition, ICPR 2012, Tsukuba, Japan, 11/11/12.
Molnar C, Kato Z, Jermyn I. A multi-layer phase field model for extracting multiple near-circular objects. In Proceedings - International Conference on Pattern Recognition. 2012. p. 1427-1430. 6460409
Molnar, Csaba ; Kato, Z. ; Jermyn, Ian. / A multi-layer phase field model for extracting multiple near-circular objects. Proceedings - International Conference on Pattern Recognition. 2012. pp. 1427-1430
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