Multiple Relaxation Time Lattice Boltzmann Models for Multigrid Phase-Field Segmentation of Tumors in 3D Ultrasound Images - Centre de Recherche en Acquisition et Traitement de l'Image pour la Santé
Article Dans Une Revue SIAM Journal on Imaging Sciences Année : 2019

Multiple Relaxation Time Lattice Boltzmann Models for Multigrid Phase-Field Segmentation of Tumors in 3D Ultrasound Images

Khac L Nguyen
Mohamed M Tekitek
Philippe Delachartre

Résumé

We address the problem of tumor segmentation in 3D ultrasound images. Although many studies have examined this subject, there is still a need to improve segmentation algorithms so as to obtain the best estimation of tumor volumes. In this paper we propose a new approach based on a variational formulation and a multigrid implementation of a multiple relaxation time lattice Boltzmann scheme. The data attachment term, resp., the regularization term, of the energy to be minimized is given by a log-likelihood, resp., the Allen-Cahn reaction diffusion equation. We investigate the stability and accuracy of the proposed scheme with D3Q7 and D3Q19 lattices. Specifically, we show how to choose the relaxation parameters to obtain a fourth-order exact scheme which is shown to be much more relevant than a single relaxation time Bhatnagar-Gross-Krook scheme. Experiments conducted on images with ground truth given by a dermatologist show that the proposed algorithm significantly increases the Dice index (by 10%) and the sensitivity (by 25%) compared with a level set algorithm and is consequently a good alternative to investigate the problem of volume underestimation.

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Dates et versions

hal-04842568 , version 1 (17-12-2024)

Identifiants

Citer

Khac L Nguyen, Mohamed M Tekitek, Philippe Delachartre, Michel Berthier. Multiple Relaxation Time Lattice Boltzmann Models for Multigrid Phase-Field Segmentation of Tumors in 3D Ultrasound Images. SIAM Journal on Imaging Sciences, 2019, 12, pp.1324 - 1346. ⟨10.1137/18m123462x⟩. ⟨hal-04842568⟩
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