# Approximation of full-boundary data from partial-boundary electrode measurements

## TL;DR

This paper proposes a method to approximate full-boundary electrical impedance data from partial measurements using projections and optimization, enhancing reconstruction quality in EIT, demonstrated with noisy simulated and real data.

## Contribution

It introduces a novel approach to estimate full-boundary data from partial measurements, improving EIT reconstruction accuracy with a projection-based optimization method.

## Key findings

- Improved reconstruction quality with the proposed approximation method.
- Effective application demonstrated on noisy simulated and real data.
- Enhancement of continuum model algorithms like the D-bar method.

## Abstract

Measurements on a subset of the boundary are common in electrical impedance tomography, especially any electrode model can be interpreted as a partial boundary problem. The information obtained is different to full-boundary measurements as modeled by the ideal continuum model. In this study we discuss an approach to approximate full-boundary data from partial-boundary measurements that is based on the knowledge of the involved projections. The approximate full-boundary data can then be obtained as the solution of a suitable optimization problem on the coefficients of the Neumann-to-Dirichlet map. By this procedure we are able to improve the reconstruction quality of continuum model based algorithms, in particular we present the effectiveness with a D-bar method. Reconstructions are presented for noisy simulated and real measurement data.