Non-separable bidimensional wavelet bases

Texture Segmentation Using Separable and Non-Separable Wavelet Frames

In this paper, a new feature which is characterized by the extrema density of 2-D wavelet frames estimated at the output of the corresponding filter bank is proposed for texture segmentation. With and without feature selection, the discrimination ability of features based on pyramidal and treestructured decompositions are comparatively studied using the extrema density, energy, and entropy as f...

2-D Non-Separable Wavelet Bases for Texture Classification with Genetic Feature Selection

In this paper. the performances of testure classification based on pyramidal and uniform decomposition are comparatively studied with and without feature selection. This comparison using the subband variance as feature explores the dependence among features. It is shown that the main problem when employing 2-D non-separable wavelet transforms for testure classification is the determination of t...

Non-separable 3D integer wavelet transform for lossless data compression

This paper proposes a three-dimensional (3D) integer wavelet transform with reduced amount of rounding noise. Non-separable multi-dimensional lifting structures are introduced to decrease the total number of lifting steps. Since the lifting step contains a rounding operation, variance of the rounding noise generated due to the rounding operation inside the transform is reduced. This paper also ...

Non Separable Two Dimensional Discrete Wavelet Transform for Image Signals

Discrete multidirectional wavelet bases

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 processin...