The Inverse Conductivity PRoblem for a Hexagonal Network

Brett Sovreign

1. Introduction

In this paper I explain the procedure by which the conductivities of a
symmetrical hexagonal network can be determined from measurements of
currents on the boundary due to imposed voltages.  The existence of a
unique solution to this inverse conductivity problem for any discrete
network is shown in Curtis and Morrow (1990).  This particular class
of networks could be useful in more accurately approximating the
continuous problem for a circular surface.  In the end I show some of
the results of the reconstruction of the simplest cases.

2. The Inverse Problem

A. Programs