Simple MATLAB implementation of the filtered backpropagation [1], [2] for coherent plane-wave compounding.

The filtered backpropagation (FBP) derives from the Fourier diffraction theorem for steered plane waves. This theorem resembles the Fourier slice theorem. The algorithm operates in the two-dimensional space under the Born approximation.

1. Clone the repository or download the release to your local hard drive.

git clone https://github.com/mschiffn/fbp 

2. Switch to the directory containing the repository

3. Run the script example.m

The repository has the following structure:

. ├── data_RF.mat # measurement data from tissue phantom ├── example.m # main script ├── fbp_pw.m # filtered backpropagation (FBP) algorithm ├── LICENSE # license file └── README.md # this readme 

1. M. F. Schiffner and G. Schmitz, "Plane wave pulse-echo ultrasound diffraction tomography with a fixed linear transducer array," Acoust. Imaging, ser. Acoust. Imaging, A. Nowicki, J. Litniewski, and T. Kujawska, Eds., vol. 31, Springer Netherlands, 2012, pp. 19–30.

2. A. J. Devaney, "A filtered backpropagation algorithm for diffraction tomography," Ultrasonic Imaging, vol. 4, no. 4, pp. 336–350, Oct. 1982.