2013/03/22 by Huang, Chao, Kun Wang, Liming Nie +6 · 1 citation
Engineering · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Medical Physics (physics.med-ph) #Numerical Analysis (math.NA) #Optical Imaging and Spectroscopy Techniques #Photoacoustic and Ultrasonic Imaging #Thermography and Photoacoustic Techniques
paper · pdf · doi:10.48550/arxiv.1303.5680
openalex publication_date 2013/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Existing approaches to image reconstruction in photoacoustic computed tomography (PACT) with acoustically heterogeneous media are limited to weakly varying media, are computationally burdensome, and/or cannot effectively mitigate the effects of measurement data incompleteness and noise. In this work, we develop and investigate a discrete imaging model for PACT that is based on the exact photoacoustic (PA) wave equation and facilitates the circumvention of these limitations. A key contribution of the work is the establishment of a procedure to implement a matched forward and backprojection operator pair associated with the discrete imaging model, which permits application of a wide-range of modern image reconstruction algorithms that can mitigate the effects of data incompleteness and noise. The forward and backprojection operators are based on the k-space pseudospectral method for computing numerical solutions to the PA wave equation in the time domain. The developed reconstruction methodology is investigated by use of both computer-simulated and experimental PACT measurement data.