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

Csaba Molnar, Zoltan 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 publicationICPR 2012 - 21st International Conference on Pattern Recognition
Pages1427-1430
Number of pages4
Publication statusPublished - Dec 1 2012
Event21st International Conference on Pattern Recognition, ICPR 2012 - Tsukuba, Japan
Duration: Nov 11 2012Nov 15 2012

Publication series

NameProceedings - International Conference on Pattern Recognition
ISSN (Print)1051-4651

Other

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

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition

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  • Cite this

    Molnar, C., Kato, Z., & Jermyn, I. (2012). A multi-layer phase field model for extracting multiple near-circular objects. In ICPR 2012 - 21st International Conference on Pattern Recognition (pp. 1427-1430). [6460409] (Proceedings - International Conference on Pattern Recognition).