Publications
Papers and preprints
A publication index organized by year and topic.
A Computational Method for Image Segmentation Based on a Dirichlet Field and an Analysis of the Asymptotic Accuracy of Spatial Regularizer Discretization
Modeling, Optimization and Information Technology
This paper presents a Dirichlet-field formulation of segmentation with closed-form uncertainty estimation, edge-aware smoothing, and an explicit asymptotic analysis of the spatial regularizers used in the model. Numerical experiments on ACDC, Synapse, and CHAOS show improved calibration and segmentation quality with moderate extra cost.
- Numerical Methods
- Applied Systems
DOI10.26102/2310-6018/2026.54.3.009
Global Existence, Invariant Region, and Enhanced Regularity for an Anisotropic Reaction-Diffusion Model of Myocardial Remodeling in Terms of Dirichlet Concentration Parameters
Zenodo preprint
A multicomponent anisotropic reaction-diffusion model for post-infarction myocardial remodeling is formulated in terms of Dirichlet concentration parameters so that composition and uncertainty are represented together. The paper proves global existence, establishes invariant-region bounds, and derives enhanced regularity and short-time unconditional uniqueness under additional assumptions.
- Nonlinear PDEs
- Applied Systems
Semantic Segmentation with Uncertainty Estimation Based on the Dirichlet Model and Anisotropic Regularization
Computational Mathematics and Information Technologies
The paper proposes a semantic segmentation method that couples Dirichlet uncertainty modeling with anisotropic regularization. It proves Gamma-convergence and equicoercivity for the discrete energy family and reports calibrated uncertainty estimation with modest computational overhead.
- Numerical Methods
- Applied Systems
DOI10.23947/2587-8999-2026-10-1-7-20