Nonlinear Iterative Hard Thresholding for Inverse Scattering

2019/03/22 by Gilbert, Anna C., Levinson, Howard W., Schotland, John C.
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1903.10875

Abstract

We consider the inverse scattering problem for sparse scatterers. An image reconstruction algorithm is proposed that is based on a nonlinear generalization of iterative hard thresholding. The convergence and error of the method was analyzed by means of coherence estimates and compared to numerical simulations.

Related

• Structured Iterative Hard Thresholding with On- and Off-Grid Applications
• SEAGLE: Sparsity-Driven Image Reconstruction under Multiple Scattering
• Accelerated Image Reconstruction for Nonlinear Diffractive Imaging
• Inverse medium scattering problems with Kalman filter techniques II. Nonlinear case
• Knowledge-Aided Normalized Iterative Hard Thresholding Algorithms and\n Applications to Sparse Reconstruction