Anisotropic edge-enhanced of a phase object slice by spatial filtering and optical tomography

It has been shown that edge-enhanced images by using optical spatial filtering system of double Fourier-transform can be successfully obtained by implemented the optical Hilbert-transform . This implementation can be obtained by placing a phase step filter of ¿ radians at the frequency plane. Under this background, in this paper, we show how the edge-enhanced of a phase object slice using optical tomography and optical spatial filtering could be obtained. This procedure is principally based by obtaining sequentially the Hilbert-transform of each projection and by applying the filtered back-projection algorithm to obtain the image reconstruction. In this paper, both theoretical analysis and numerical simulations are shown.