3D fast ridgelet transform

In this paper, we present a fast implementation of the 3D ridgelet transform based on discrete analytical 3D lines: the 3D discrete analytical ridgelet transform (DART). This transform uses the Fourier strategy (the projection-slice formula) for the computation of the associated discrete Radon transform. The innovative step of the DART is the construction of 3D discrete analytical lines in the Fourier domain, that allows a fast perfect backprojection. These discrete analytical lines have a parameter called arithmetical thickness, allowing us to define a DART adapted to a specific application. A denoising application is presented.