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Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method
IEEE Transactions on Medical Imaging
|January 1, 1990
Summary
The distorted Born iterative method (DBIM) offers a new approach for inverse scattering problems when standard approximations fail. It converges faster than the Born iterative method (BIM) but is less robust to noise.
Area of Science:
- Electromagnetics and Wave Propagation
- Computational Physics
- Image Reconstruction
Background:
- Inverse scattering problems are crucial for imaging applications.
- The Born and Rytov approximations have limitations in certain scenarios.
- Existing iterative methods may not always be optimal.
Purpose of the Study:
- To introduce and evaluate the distorted Born iterative method (DBIM) for 2D inverse scattering.
- To compare DBIM's performance against the Born iterative method (BIM).
- To assess performance under conditions where Born approximation breaks down.
Main Methods:
- Implementation of the distorted Born iterative method (DBIM).
- Numerical simulations for 2D inverse scattering problems.
- Comparative analysis with the previously developed Born iterative method (BIM).
Main Results:
- DBIM demonstrates a faster convergence rate compared to BIM.
- BIM exhibits greater robustness when dealing with noisy data.
- Both methods provide viable solutions when Born approximation is not satisfied.
Conclusions:
- DBIM is an effective alternative for 2D inverse scattering and imaging problems.
- The choice between DBIM and BIM depends on specific application requirements (speed vs. noise robustness).
- Further research can explore hybrid approaches or improvements for noise handling in DBIM.
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