Digital reconstruction from Fourier projection data

Presented is the theoretical basis for reconstruction of 2-dimensional signals in the Fourier plane from projection data. Three algorithms are studied in detail: the Hankel transform method, the 2-dimensional interpolation method, and the concentric squares raster method. Each algorithm is programmed and applied to simulated projection data. The results are compared. The applicability of these techniques to mapping ultrasonic fields is considered, and the use of minicomputers discussed.