Abstract

The model-based image reconstruction approaches in photoacoustic tomography have a distinct advantage compared to traditional analytical methods for cases where limited data is available. These methods typically deploy Tikhonov based regularization scheme to reconstruct the initial pressure from the boundary acoustic data. The model-resolution for these cases represents the blur induced by the regularization scheme. A method that utilizes this blurring model and performs the basis pursuit deconvolution to improve the quantitative accuracy of the reconstructed photoacoustic image is proposed and shown to be superior compared to other traditional methods via three numerical experiments. Moreover, this deconvolution including the building of an approximate blur matrix is achieved via the Lanczos bidagonalization (least-squares QR) making this approach attractive in real-time.

Highlights

  • Photoacoustic (PA) imaging is an emerging, noninvasive, in vivo biomedical optical imaging modality that combines both optics and ultrasonic physics [1,2,3]

  • Optimal choice of regularization parameter was estimated as explained in Ref. [22] and the pressure distribution for this case with derenzo and blood vessel phantom is indicated in Fig. 3(c) and 4(d), respectively

  • The least-square QR (LSQR) based approximate model resolution matrix was computed with heuristic choice and optimal choice of regularization parameter

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Summary

Introduction

Photoacoustic (PA) imaging is an emerging, noninvasive, in vivo biomedical optical imaging modality that combines both optics and ultrasonic physics [1,2,3]. The initial pressure rise is proportional to the absorbed optical energy and the Grueneisen parameter (a dimensionless parameter of the tissue). This pressure wave travels in the soft biological tissues as an acoustic wave, known as PA wave. A wideband ultrasonic transducer (UST) acquires the propagated PA waves outside the tissue boundary. The PA wave that is collected outside the tissue boundary is used to map the initial pressure rise (or the absorbed optical energy density) within the tissue with the help of a reconstruction algorithm. With the help of targeted contrast agents, photoacoustic imaging has been shown to be a strong contender for the molecular imaging [10, 11]

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