On reconstruction of conductances in resistor grids from boundary measurements

In this work we investigate the problem of reconstruction of conductances in resistor grids. The algorithm proposed by Curtis and Morrow is studied here in terms of numerical stability. We also test its performance in the presence of measurement errors. We show that measurement errors can deteriorate the performance of the algorithm even for small grid sizes and that the algorithm is numerically unstable for larger grids. We propose several methods for improving the algorithm and test the performance of its modified versions.