Bai, F., Pizurica, A., Truyen, B., & Philips, W. (2014). Weakly convex discontinuity adaptive regularization for 3D quantitative microwave tomography. Inverse Problems, 30(8), Article 85005. https://doi.org/10.1088/0266-5611/30/8/085005

@article{75e8d49d9d064861b6c2cb9067046ca3,
title = "Weakly convex discontinuity adaptive regularization for 3D quantitative microwave tomography",
abstract = "We present an analysis of weakly convex discontinuity adaptive (WCDA)models for regularizing three-dimensional (3D) quantitative microwave imaging. In particular, we are concerned with complex permittivity reconstructions from sparse measurements such that the reconstruction process is significantly accelerated. When dealing with such a highly underdetermined problem, it is crucial to employ regularization, relying in this case on prior knowledge about the structural properties of the underlying permittivity profile: we consider piecewise homogeneous objects. We present a numerical study on the choice of the potential function parameter for the Huber function and for two selected WCDA functions, one of which (the Leclerc-Cauchy-Lorentzian function) is designed to be more edge-preserving than the other (the Leclerc-Huber function). We evaluate the effect of reducing the number of (simulated) scattered field data on the reconstruction quality. Furthermore, reconstructions from subsampled single-frequency experimental data from the 3D Fresnel database illustrate the effectiveness of WCDA regularization.",
keywords = "quantitative microwave imaging, regularization, discontinuity, weakly convex",
author = "Funing Bai and Aleksandra Pizurica and Bart Truyen and Wilfried Philips",
year = "2014",
month = jul,
day = "24",
doi = "10.1088/0266-5611/30/8/085005",
language = "English",
volume = "30",
journal = "Inverse Problems",
issn = "0266-5611",
publisher = "IOP Publishing Ltd.",
number = "8",
}