Abstract / truncated to 115 words (read the full abstract)

We present the ‘gas of circles’ (GOC) model, which is a tool to describe a set of circles with an approximately fixed radius. The model is based on the recently introduced ‘higher-order active contour’(HOAC) framework. For certain ranges of the parameters, the model creates stable circles with an approximately fixed radius instead of networks. We show how to determine this set of parameters. The general ‘gas of circles’ model has many potential applications in varied domains, but it suffers from a drawback: the local minima corresponding to circles can trap the gradient descent algorithm, thus producing phantom circles even with no supporting data. We solve the problem of phantom circles by calculating, via a Taylor ... toggle 7 keywords

prior knowledge – higher-order active contours – phase field – remote sensing – ‘gas of circles’ – stability analysis – tree crown detection

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