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math.NA2025
Diff-ANO: Towards Fast High-Resolution Ultrasound Computed Tomography via Conditional Consistency Models and Adjoint Neural Operators
Xiang Cao, Qiaoqiao Ding, Xinliang Liu +2
Ultrasound Computed Tomography (USCT) constitutes a nonlinear inverse problem with inherent ill-posedness that can benefit from regularization through diffusion generative priors.…
math.NA2024
Multi-Scale Frequency-Enhanced Deep D-bar Method for Electrical Impedance Tomography
Xiang Cao, Qiaoqiao Ding, Xiaoqun Zhang
The regularized D-bar method is a popular method for solving Electrical Impedance Tomography (EIT) problems due to its efficiency and simplicity. It utilizes the low-pass truncated…
math.NA2015
A Hybrid Segmentation and D-bar Method for Electrical Impedance Tomography
Sarah Hamilton, Juan Manuel Reyes, Samuli Siltanen +1
The Regularized D-bar method for Electrical Impedance Tomography provides a rigorous mathematical approach for solving the full nonlinear inverse problem directly, i.e. without ite…