Discrete multidirectional wavelet bases

Vladan Velisavljevic, Baltasar Beferull-Lozano, Martin Vetterli, Pier Luigi Dragotti

Abstract: The application of the wavelet transform in image processing is most frequently based on a separable construction. While simple, such an approach is not capable of capturing properly all 2D properties in images. In this paper, a new truly separable multidirectional transform is proposed with a subsampling method based on lattice theory. Applications are possible in many areas of image processing. Some promising improvements are achieved in nonlinear approximation and denoising of images.