2014/03/11 by Wolf Naetar, Otmar Scherzer, Naetar, Wolf +1 · 1 citation
Engineering · Medicine · #35R25 #35R30 #65J22 #92C55 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optical Imaging and Spectroscopy Techniques #Photoacoustic and Ultrasonic Imaging #Thermography and Photoacoustic Techniques
paper · pdf · doi:10.48550/arxiv.1403.2620
openalex publication_date 2014/03/11 · openalex created_date 2022/08/13 · openalex updated_date 2026/07/28
The goal of quantitative photoacoustic tomography is to determine optical and\nacoustical material properties from initial pressure maps as obtained, for\ninstance, from photoacoustic imaging. The most relevant parameters are\nabsorption, diffusion and Grueneisen coefficients, all of which can be\nheterogeneous. Recent work by Bal and Ren shows that in general, unique\nreconstruction of all three parameters is impossible, even if multiple\nmeasurements of the initial pressure (corresponding to different laser\nexcitation directions at a single wavelength) are available.\n Here, we propose a restriction to piecewise constant material parameters. We\nshow that in the diffusion approximation of light transfer, piecewise constant\nabsorption, diffusion and Gr "uneisen coefficients can be recovered uniquely\nfrom photoacoustic measurements at a single wavelength. In addition, we\nimplemented our ideas numerically and tested them on simulated\nthree-dimensional data.\n