Determination of the Optimal Scanning Step for Evaluation of Image Reconstruction Quality in Magnetoacoustic Tomography With Magnetic Induction

Abstract

Magnetoacoustic Tomography with Magnetic Induction (MAT-MI) is a new hybrid imaging modality especially dedicated for non-invasive electrical conductivity imaging of low-conductivity objects such as e.g. biological tissues. The purpose of the present paper is to determine the optimal scanning step assuring the best quality of image reconstruction. In order to resolve this problem a special image reconstruction quality indicator based on binarization has been applied. Taking into account different numbers of measuring points and various image processing algorithms, the conditions allowing successful image reconstruction have been provided in the paper. Finally, the image reconstruction examples for objects’ complex shapes have been analyzed.

Detailed Analytical Approach to Solve the Magnetoacoustic Tomography with Magnetic Induction (MAT-MI) Problem for Three-Layer Objects

“…The electric field and the eddy current density vectors inside the object can be described as follows [2][3][4][6][7][8][11][12][13][14][15][16][17]:…”

“…In case of a sufficiently short pulse, after splitting the temporary magnetic field for the functions of space and time, the Lorentz force density can be expressed as [2][3][4][6][7][8][11][12][13][14][15][16][17]:…”

“…In principle, the inverse problem can be split into two main steps. First, the references term ∇•( J × B0) of The electric field and the eddy current density vectors inside the object can be described as follows [2][3][4][6][7][8][11][12][13][14][15][16][17]:…”

“…In the last years several variants of such a tomographic technique are being explore. However, the occurrence of this physics phenomena still require careful scientific study in a quantitative way [11][12][13]. In particular, analytical and numerical calculations can provide new and important information about the nature of the electromagnetic-acoustic phenomenon [14][15][16][17][18][19].…”

“…This problem has never been fully considered in the past, as in this article. Although similar problems were analyzed, either the authors did not quantify the details of eddy currents and Lorentz forces, or the objects' shapes or number of layers were different [6,8,9,[11][12][13][14][15][16][17][18][19]21,22,25].…”