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

Molnar, C. and Kato, Z. and 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. Piscataway: IEEE, pp. 1427-1430. Proceedings.


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.

Item Type:Book chapter
Full text:(AM) Accepted Manuscript
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Publisher statement:© 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Date accepted:No date available
Date deposited:30 March 2016
Date of first online publication:November 2012
Date first made open access:No date available

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