Understanding the impact of evaluation metrics in kinetic models for consensus-based segmentation
Additional information
Authors
Cabini R. F.,
Tettamanti H.,
Zanella M.
Type
Journal Article
Year
2025
Language
English
Abstract
In this article, we extend a recently introduced kinetic model for consensus-based segmentation of images. In particular, we will interpret the set of pixels of a 2D image as an interacting particle system that evolves in time in view of a consensus-type process obtained by interactions between pixels and external noise. Thanks to a kinetic formulation of the introduced model, we derive the large time solution of the model. We will show that the parameters defining the segmentation task can be chosen from a plurality of loss functions that characterize the evaluation metrics.
Keywords
Kinetic equations, Interacting particle systems, Consensus models, Image segmentation, Clustering
Journal
Entropy
Volume
27
Number ( Month )
2
Pages (or article number)
149
Diffusion
License
CC BY
Visibility
Public
Status open access
Gold
