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

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

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, November). A multi-layer phase field model for extracting multiple near-circular objects. Presented at 21st International Conference on Pattern Recognition (ICPR2012)., Tsukuba, Japan

• Presentation Conference Type: Conference Paper (published)
• Conference Name: 21st International Conference on Pattern Recognition (ICPR2012).
• Start Date: Nov 11, 2012
• End Date: Nov 15, 2012
• Publication Date: Nov 15, 2012
• Deposit Date: Jul 27, 2015
• Publicly Available Date: Mar 30, 2016
• 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.
• Public URL: https://durham-repository.worktribe.com/output/1152842
• Publisher URL: http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6460409