# On reconstruction from a partial knowledge of the Neumann-to-Dirichlet operator

## TL;DR

This paper presents formulae to determine the location of an unknown polygonal inclusion with unknown conductivity inside a known material, using partial data from the Neumann-to-Dirichlet operator.

## Contribution

It introduces new formulae that utilize partial Neumann-to-Dirichlet data to locate polygonal inclusions with unknown conductivities.

## Key findings

- Formulae successfully identify inclusion location
- Method works with partial Neumann-to-Dirichlet data
- Applicable to polygonal inclusions with unknown conductivities

## Abstract

We give formulae that yield an information about the location of an unknown polygonal inclusion having unknown constant conductivity inside a known conductive material having known constant conductivity from a partial knowledge of the Neumann -to-Dirichlet operator.