27 citations · 56 across the 7 of their papers we have counts for
7 papers
Efficient Gradient-based Optimization for Reconstructing Binary Images in Applications to Electrical Impedance Tomography
Paul R. Arbic, Vladislav Bukshtynov
A novel and highly efficient computational framework for reconstructing binary-type images suitable for models of various complexity seen in diverse biomedical applications is deve…
Multiscale Optimization via Enhanced Multilevel PCA-based Control Space Reduction for Electrical Impedance Tomography Imaging
Maria M. F. M. Chun, Briana L. Edwards, Vladislav Bukshtynov
An efficient computational approach for imaging binary-type physical properties suitable for various models in biomedical applications is developed and validated. The proposed meth…
On Reconstruction of Binary Images by Efficient Sample-based Parameterization in Applications for Electrical Impedance Tomography
Paul R. Arbic, Vladislav Bukshtynov
An efficient computational approach for optimal reconstruction of binary-type images suitable for models in various applications including biomedical imaging is developed and valid…
A Multiscale Optimization Framework for Reconstructing Binary Images using Multilevel PCA-based Control Space Reduction
Priscilla M. Koolman, Vladislav Bukshtynov
An efficient computational approach for optimal reconstructing parameters of binary-type physical properties for models in biomedical applications is developed and validated. The m…
Breast Cancer Detection through Electrical Impedance Tomography and Optimal Control Theory: Theoretical and Computational Analysis
Ugur G. Abdulla, Vladislav Bukshtynov, Saleheh Seif
The Inverse Electrical Impedance Tomography (EIT) problem on recovering electrical conductivity tensor and potential in the body based on the measurement of the boundary voltages o…
Gradient Method in Hilbert-Besov Spaces for the Optimal Control of Parabolic Free Boundary Problems
Ugur G. Abdulla, Vladislav Bukshtynov, Ali Hagverdiyev
This paper presents computational analysis of the inverse Stefan type free boundary problem, where information on the boundary heat flux is missing and must be found along with the…
Optimal Reconstruction of Material Properties in Complex Multiphysics Phenomena
Vladislav Bukshtynov, Bartosz Protas
We develop an optimization-based approach to the problem of reconstructing temperature-dependent material properties in complex thermo-fluid systems described by the equations for…