Spatial Resolution in Tomographic Imaging with Diffracted Fields

The spatial resolution that is achievable using non-uniformly sampled data in the Fourier domain is examined. In particular, we focus on the typical non-uniform sampling that arises when diffraction tomography is used. We firstly introduce an effective conversion from non-uniform to uniform sampling grids using a transformation that minimizes an error measure in the frequency domain and that is particularly suited for the sampling location patterns encountered in diffraction tomography. Furthermore, for this scenario, we investigate the impact of sampling patterns on spatial resolution changes and how the sampling pattern can be varied to improve the spatial resolution. Finally, simulations are performed to show how spatial resolution varies when the number of transmitters or receivers changes