Spline Mojette transform. Applications in tomography and communications

The Mojette transform is a fast and exact discrete Radon transform. Its inverse also share the same order of complexity properties. Spline functional spaces are here used to derive a class of new Mojette transforms. Algorithms with linear complexity (in terms of projections and pixels number) are derived. The transform capabilities are shown first to model the discrete tomographic acquisition process. This efficient transform is also exemplified in the area of real-time packet network transmissions where it is able to fight against losses and noise degradations.