by Csaba Molnar, Zoltan Kato, Ian Jermyn
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.
Reference:
Csaba Molnar, Zoltan Kato, Ian Jermyn, A Multi-Layer Phase Field Model for Extracting Multiple Near-Circular Objects, In Proceedings of International Conference on Pattern Recognition, Tsukuba Science City, Japan, pp. 1427-1430, 2012, IEEE.
Bibtex Entry:
@string{icpr="Proceedings of International Conference on Pattern Recognition"}
@INPROCEEDINGS{Molnar-etal2012,
author = {Molnar, Csaba and Kato, Zoltan and Ian Jermyn},
title = {A Multi-Layer Phase Field Model for Extracting Multiple Near-Circular
Objects},
booktitle = icpr,
year = {2012},
pages = {1427--1430},
address = {Tsukuba Science City, Japan},
month = nov,
organization = {IAPR},
publisher = {IEEE},
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.}
}