Ridgelet transform applied to motion compensated images

The wavelet transform is a powerful instrument in catching zero-dimensional singularities. Ridgelets are a powerful instrument in catching and representing monodimensional singularities in bidimensional space. The continuous ridgelet transform, defined by E.J. Candes and D.L. Donoho (see Phil. Trans. R. Soc. Lond. A., p.2495-509, 1999), is the application of a mono-dimensional wavelet to the slices of the Radon transform. We propose a hybrid video coder scheme using the ridgelet transform for the first approximation of line-edge singularities in displaced frame difference images. We demonstrate the potential of ridgelets and results show substantial improvements when compared to a wavelet only based coder.