01984nas a2200193 4500008004100000020002300041245008200064210006900146260003500215300001600250520128600266100001801552700001701570700001601587700002201603700001701625700002101642856012701663 2012 eng d a978-1-4673-2216-4 00aA Multi-Layer Phase Field Model for Extracting Multiple Near-Circular Objects0 aMultiLayer Phase Field Model for Extracting Multiple NearCircula aTsukuba, JapanbIEEEcNov 2012 a1427 - 14303 a

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.

 

1 aMolnar, Csaba1 aKato, Zoltan1 aJermyn, Ian1 aEklundh, Jan-Olof1 aOhta, Yuichi1 aTanimoto, Steven uhttps://tisat.inf.u-szeged.hu/en/publication/a-multi-layer-phase-field-model-for-extracting-multiple-near-circular-objects