1. A method for performing a tomographic reconstruction of an object in 2D parallel-beam geometry, comprising: receiving, by a processing circuit from an X-ray detector, projection data associated with an object; applying, by the processing circuit, Hilbert filtering to the received projection data; computing, by the processing circuit, an antiderivative of the filtered data; backprojecting, by the processing circuit, the antiderivative into the image domain; and computing, by the processing circuit, the 2D Laplacian of the backprojection image.