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Optimal similarity norm for electrical tomography based on Bregman divergence
Mingliang Ding1, Shihong Yue1, Jia Li1
1School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China.
The Review of Scientific Instruments
|April 9, 2020
Summary
Electrical Tomography (ET) image quality can be improved using Bregman divergence (BD) norms. This study introduces a method for selecting optimal BD norms, enhancing spatial resolution in ET imaging.
Area of Science:
- Electrical Engineering
- Image Processing
- Applied Mathematics
Background:
- Electrical Tomography (ET) is an advanced visualization method relying on boundary measurements for target reconstruction.
- Spatial resolution in ET is significantly influenced by the choice of similarity norm used in the reconstruction process.
- Traditional norms like L2-norm are limited, prompting exploration of more generalized measures.
Purpose of the Study:
- To introduce an execution method for applying Bregman divergence (BD) in Electrical Tomography.
- To establish criteria for selecting optimal BD norms within the BD family for ET applications.
- To demonstrate the effectiveness of optimal BD norms in enhancing ET image spatial resolution.
Main Methods:
- Development of a novel execution method for integrating Bregman divergence (BD) into the Electrical Tomography (ET) reconstruction process.
- Formulation of selection criteria to identify the most suitable BD norm for specific ET scenarios.
- Validation through simulations and experimental studies to assess the impact on spatial resolution.
Main Results:
- The proposed method successfully applies Bregman divergence (BD) norms to Electrical Tomography (ET).
- Optimal BD norms were identified and shown to be superior to traditional norms like L2-norm.
- Significant improvements in the spatial resolution of reconstructed ET images were observed.
Conclusions:
- Bregman divergence (BD) offers a more accurate and flexible approach to similarity measurement in Electrical Tomography (ET).
- The proposed selection criteria and execution method enable the effective use of optimal BD norms.
- Employing optimal BD norms is a viable strategy for enhancing the spatial resolution and overall quality of ET images.
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