**Publications**(53)

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^{1}-norm. Using standard approaches, photoacoustic imaging generally neither satisfies sparsity of the data nor the RIP. Therefore, no theoretical recovery guarantees could be given. Despite ℓ

^{1}- minimization has been used for photoacoustic image reconstruction, only marginal improvements in comparison to classical photoacoustic reconstruction have been observed. We propose the application of a sparsifying temporal transformation to the detected pressure signals, which allows obtaining theoretical recovery guarantees for our compressed sensing scheme. Such a sparsifying transform can be found because spatial and temporal evolution of the pressure wave are not independent, but connected by the wave equation. We give an example of a sparsifying transform and apply our compressed sensing scheme to reconstruct images from simulated data.

Iterative reconstruction algorithms or inverting directly the imaging matrix can take the finite size of real detectors directly into account, but the numerical effort is significantly higher compared to direct algorithms assuming point-like detection. Another reconstruction with less numerical effort is to use a direct algorithm assuming point-like detectors and run a deconvolution algorithm for deblurring afterwards. For such reconstruction methods spatial over-sampling makes sense because it reduces the blurring significantly.

The effect of step size on the reconstructed image is systematically examined using simulated and experimental data. Experimental data are obtained on a plastisol cylinder with thin holes filled with an absorbing liquid. Data acquisition is done by utilization of a piezoelectric detector (PVDF stripe) which is rotated around the plastisol cylinder.

_{12}SiO

_{20}photorefractive crystal. After data acquisition the structure of the specimen is reconstructed using a Fourier-domain synthetic focusing aperture technique. We show three-dimensional imaging on tissue-mimicking phantoms and biological samples. Furthermore, we show remote photoacoustic measurements on a human forearm in-vivo.

*~1bar*without averaging which is rather poor compared to other methods but it can be increased by using polymer waveguide materials with better relative elasto-optic coupling coefficients than polystyrene

*(C–-19•10*. The guiding polystyrene film had a thickness of

^{-7}bar^{-1})*1.3 μm*and was fabricated with a spin coating method. The bandwidth of the PWG sensor was limited only by the detection electronics to

*125 MHz*.

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