# An Accelerated Nonlinear Contrast Source Inversion Scheme For Sparse Electromagnetic Imaging

arXiv: https://arxiv.org/abs/1911.06020 · HTML: https://mlsanity.com/paper/1911.06020/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 14 Nov 2019.

## Built on by (most cited first, 2 of 2)

- [A Trained Regularization Approach Based on Born Iterative Method for Electromagnetic Imaging](https://mlsanity.com/paper/2112.13367/) (2021)
- [GAN-driven Electromagnetic Imaging of 2-D Dielectric Scatterers](https://mlsanity.com/paper/2402.10831/) (2024)

## Abstract (arXiv)

An efficient nonlinear contrast source inversion scheme for electromagnetic imaging of sparse two-dimensional investigation domains is proposed. To avoid generating a sequence of linear sparse optimization problems, the non-linearity is directly tackled using the nonlinear Landweber (NLW) iterations. A self-adaptive projected accelerated steepest descent (A-PASD) algorithm is incorporated to enhance the efficiency of the NLW iterations. The algorithm enforces the sparsity constraint by projecting the result of each steepest descent iteration into the L1-norm ball and selects the largest-possible iteration step without sacrificing from convergence. Numerical results, which demonstrate the proposed schemes accuracy, efficiency, and applicability, are presented.