Photoacoustic and thermoacoustic tomography with an uncertain wave speed
Lauri Oksanen, Gunther Uhlmann
TL;DR
This paper investigates the impact of uncertain wave speed on photoacoustic and thermoacoustic tomography reconstructions, providing stability estimates to quantify errors caused by modeling inaccuracies.
Contribution
It extends existing reconstruction formulas to account for uncertainties in wave speed, offering a stability analysis for more robust imaging.
Findings
Quantifies the effect of sound speed errors on reconstruction accuracy
Provides stability estimates for reconstructions with uncertain wave speed
Enhances understanding of modeling errors in photoacoustic imaging
Abstract
We consider the mathematical model of photoacoustic and thermoacoustic tomography in media with a variable sound speed. When the sound speed is known, the explicit reconstruction formula by P. Stefanov and G. Uhlmann (Inverse Problems, 25(7):075011, 16, 2009) can be used. We study how a modelling error in the sound speed affects the reconstruction formula and quantify the effect in terms of a stability estimate.
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Taxonomy
TopicsPhotoacoustic and Ultrasonic Imaging · Thermography and Photoacoustic Techniques · Numerical methods in inverse problems