A kinetic approach to consensus-based segmentation of biomedical images

• URL: http://arxiv.org/abs/2211.05226v2
• Date: Fri, 14 Jun 2024 15:52:29 GMT
• Title: A kinetic approach to consensus-based segmentation of biomedical images
• Authors: Raffaella Fiamma Cabini, Anna Pichiecchio, Alessandro Lascialfari, Silvia Figini, Mattia Zanella,
• Abstract summary: We apply a kinetic version of a bounded confidence consensus model to biomedical segmentation problems. The large time behavior of the system is then computed with the aid of a surrogate Fokker-Planck approach. We minimize the introduced segmentation metric for a relevant set of 2D gray-scale images.
• Score: 39.58317527488534
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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