Battle-Lemari e's wavelet has a nice generalization in the bivariate setting. This generalization is called bivariate box spline wavelets. The magnitude of the lters associated with the bivariate box spline wavelets is shown to converge to an ideal high-pass lter when the degree of the bivariate box spline functions increases to 1. The passing and stopping bands of the ideal lter are dependent ...

This paper analyses the application of wavelets for the efficient detection of QRS complex in ECG. Wavelets provide simultaneous time and frequency information. In this research, the effects of the properties of different wavelet functions, such as time/frequency localization and linearity, on the accuracy of QRS detection are examined. Initially, a wavelet transform filtering is applied to the...

In this paper we present a comparative study on fusion of visual and thermal images using different wavelet transformations. Here, coefficients of discrete wavelet transforms from both visual and thermal images are computed separately and combined. Next, inverse discrete wavelet transformation is taken in order to obtain fused face image. Both Haar and Daubechies (db2) wavelet transforms have b...

It is shown that analyses based on Symmetric Daubechies Wavelets (SDW) lead to a multiresolution form of the Laplacian operator. This property, which is related to the complex values of the SDWs, gives a way to new methods of image enhancement applications. After a brief recall of the construction and main properties of the SDW, we propose a representation of the sharpening operator at di erent...

In a previous paper, we proposed a general Fourier method that provides an accurate prediction of the approximation error, irrespective of the scaling properties of the approximating functions. Here, we apply our results when these functions satisfy the usual two-scale relation encountered in dyadic multiresolution analysis. As a consequence of this additional constraint, the quantities introdu...

{Some complex symmetric Daubechies wavelets provide a natural way to calculate zero-crossings because of a hidden "Laplacian operator" in the imaginary part of the scaling function. We propose a simple multiscale sharpening enhancement algorithm based on this property. The algorithm is tested on low-contrast digitized mammograms. Many breast cancers cannot be detected on the basis of mammograph...