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arXiv · 2211.05226

A kinetic approach to consensus-based segmentation of biomedical images

Raffaella Fiamma Cabini·Anna Pichiecchio·Alessandro Lascialfari·Silvia Figini·Mattia Zanella
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Abstract

In this work, we apply a kinetic version of a bounded confidence consensus model to biomedical segmentation problems. In the presented approach, time-dependent information on the microscopic state of each particle/pixel includes its space position and a feature representing a static characteristic of the system, i.e. the gray level of each pixel. From the introduced microscopic model we derive a kinetic formulation of the model. The large time behavior of the system is then computed with the aid of a surrogate Fokker-Planck approach that can be obtained in the quasi-invariant scaling. We exploit the computational efficiency of direct simulation Monte Carlo methods for the obtained Boltzmann-type description of the problem for parameter identification tasks. Based on a suitable loss function measuring the distance between the ground truth segmentation mask and the evaluated mask, we minimize the introduced segmentation metric for a relevant set of 2D gray-scale images. Applications to biomedical segmentation concentrate on different imaging research contexts.

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Raffaella Fiamma Cabini, Anna Pichiecchio, Alessandro Lascialfari, Silvia Figini, Mattia Zanella. 2024-06-14. A kinetic approach to consensus-based segmentation of biomedical images. https://arxiv.org/abs/2211.05226

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