A Reconstruction Algorithm for Photoacoustic Imaging based on the Nonuniform FFT

TL;DR

This paper introduces a novel photoacoustic image reconstruction algorithm using nonuniform FFT, which reduces artifacts and maintains computational efficiency compared to traditional Fourier-based methods.

Contribution

The paper presents a new reconstruction algorithm employing nonuniform FFT to eliminate artifacts in photoacoustic imaging while preserving efficiency.

Findings

The algorithm avoids artifacts in reconstructed images.

It maintains the computational speed of Fourier reconstruction.

Theoretical and numerical validation confirms effectiveness.

Abstract

Fourier reconstruction algorithms significantly outperform conventional back-projection algorithms in terms of computation time. In photoacoustic imaging, these methods require interpolation in the Fourier space domain, which creates artifacts in reconstructed images. We propose a novel reconstruction algorithm that applies the one-dimensional nonuniform fast Fourier transform to photoacoustic imaging. It is shown theoretically and numerically that our algorithm avoids artifacts while preserving the computational effectiveness of Fourier reconstruction.