Sampling in Thermoacoustic Tomography

TL;DR

This paper analyzes how sampling rates affect data measurement in Thermoacoustic Tomography, focusing on resolution limits, aliasing artifacts, and anti-aliasing schemes to improve image quality.

Contribution

It provides new insights into sampling requirements, aliasing effects, and anti-aliasing strategies specific to Thermoacoustic Tomography measurements.

Findings

Sampling rate impacts resolution limits in Thermoacoustic Tomography.

Aliasing artifacts occur under undersampling conditions.

A proposed anti-aliasing scheme reduces measurement artifacts.

Abstract

We explore the effect of sampling rates when measuring data given by $Mf$ for special operators $M$ arising in Thermoacoustic Tomography. We start with sampling requirements on $Mf$ given $f$ satisfying certain conditions. After this we discuss the resolution limit on $f$ posed by the sampling rate of $Mf$ without assuming any conditions on these sampling rates. Next we discuss aliasing artifacts when $Mf$ is known to be under sampled in one or more of its variables. Finally, we discuss averaging of measurement data and resulting aliasing and artifacts, along with a scheme for anti-aliasing.