recent studies on wavelet transform and fractal modeling applied on mammograms for the detection of cancerous tissues indicate that microcalcifications and masses can be utilized for the study of the morphology and diagnosis of cancerous cases. it is shown that the use of fractal modeling, as applied to a given image, can clearly discern cancerous zones from noncancerous areas. in this paper, f...

The lifting scheme is used as a motivational tool for designing a better temporal subband scheme in video coding. The new subband coding scheme replaces the typical Haar filterbank. A simple criterion is used for the detection of scene changes in video sequences, and a modification to the Haar lifting scheme is developed that allows for adjusting the filterbank near a scene change. The new edge...

Wavelet or subband coding has been quite successful in compression applications, and this success can be attributed in part to the good approximation properties of wavelets. In this paper, we revisit rate-distortion bounds for wavelet approximation of piecewise smooth functions, in particular the piecewise polynomial case. We contrast these results with rate-distortion bounds achievable using a...

Two items will be presented in the talk. The rst one is modiication of classic Daubechies compactly supported wavelets preserving localization in time with the growth of smoothness. The second one is nonstation-ary wavelets with the use of scaling lters that vary from one scale to the next ner one. Wavelets are a tool for decomposing functions in various applications. It is closely connected wi...

In this paper, we briefly review the connection between subband coding, wavelet approximation and general cornpression problems. Wavelet or subband coding is successful in compression applications partly because of the good approximation properties of wavelets. First, we revisit some rate-distortion bounds for wavelet approximation of piecewise smooth functions. We contrast these results with r...

This paper addresses the problem of low memory wavelet image compression. While wavelet or subband coding of images has been shown to be superior to more traditional transform coding techniques, little attention has been paid until recently to the important issue of whether both the wavelet transforms and the subsequent coding can be implemented in low memory without significant loss in perform...

There are a lot of wavelet-based approaches in digital image watermarking literature. In these approaches, the main issue is selection method of wavelet sub-bands’ coefficients and embedding algorithm. In this approach, an entropy-based method is proposed for non-blind watermarking of still gray level images using discrete wavelet transform. In our approach, we have also used the Discrete Wavel...

This paper proposes a model for eliminating noise from ECG using α-trimmed thresholding. In this paper, the α-trimmed thresholding tested in the wavelet based Adaptive Filter Model. The Wavelet co-efficients at every sub-band level is made adapted by LMS algorithm to minimum mean square value and thresholded the adapted coefficients. It is shown that the proposed thresholding method offers vari...

Refinable functions are functions that are in a sense self-similar: If you add shrunken translates of a refinable function in a weighted way, then you obtain that refinable function again. For instance, see Figure 1 for how a quadratic B-spline can be decomposed into four small B-splines and how the so called Daubechies-2 generator function is decomposed into four small variants of itself. All ...

Optimization of filter banks for specific input statistics has been of interest in the theory and practice of subband coding. For the case of orthonormal filter banks with infinite order and uniform decimation, the problem has been completely solved in recent years. For the case of biorthogonal filter banks, significant progress has been made recently, although a number of issues still remain t...