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

Molnar, C.; Kato, Z.; Jermyn, I.

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Authors

C. Molnar

Z. Kato



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.

Citation

Molnar, C., Kato, Z., & Jermyn, I. (2012). A multi-layer phase field model for extracting multiple near-circular objects. In ICPR 2012 : the 21st International Conference on Pattern Recognition, November 11-15, 2012, Tsukuba International Congress Center, Tsukuba Science City, Japan (1427-1430)

Conference Name 21st International Conference on Pattern Recognition (ICPR2012).
Conference Location Tsukuba, Japan
Start Date Nov 11, 2012
End Date Nov 15, 2012
Publication Date Nov 15, 2012
Deposit Date Jul 27, 2015
Publicly Available Date Mar 29, 2024
Pages 1427-1430
Series Title Proceedings
Series ISSN 1051-4651
Book Title ICPR 2012 : the 21st International Conference on Pattern Recognition, November 11-15, 2012, Tsukuba International Congress Center, Tsukuba Science City, Japan.
Publisher URL http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6460409

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