Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT

JOURNAL OF COMPUTATIONAL PHYSICS

卷:353

Article

Beretta, Elena^2,3  Micheletti, Stefano¹  Perotto, Simona¹  Santacesaria, Matteo¹ 

[1] Politecn Milan, Dipartimento Matemat, MOX, Pzza Leonardo da Vinci 32, I-20133 Milan, Italy

[2] Politecn Milan, Dipartimento Matemat, Pzza Leonardo da Vinci 32, I-20133 Milan, Italy

[3] New York Univ Abu Dhabi, POB 129188, Abu Dhabi, U Arab Emirates

关键词: Electrical impedance tomography;    Shape optimization;    Neumann-to-Dirichlet map;    Regularization;    Reconstruction algorithm;   

DOI  :  10.1016/j.jcp.2017.10.017

来源: Elsevier

【 摘 要 】

In this paper, we develop a shape optimization-based algorithm for the electrical impedance tomography (EIT) problem of determining a piecewise constant conductivity on a polygonal partition from boundary measurements. The key tool is to use a distributed shape derivative of a suitable cost functional with respect to movements of the partition. Numerical simulations showing the robustness and accuracy of the method are presented for simulated test cases in two dimensions. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free