Wavelet and frames have become a widely used tool in mathematics, physics, and applied science during the last decade. This article gives an overview over some well known results about the continuous and discrete wavelet transforms and groups acting on R n. We also show how this action can give rise to wavelets, and in particular, MSF wavelets)in L 2 (R n).

Video copyright protection is the most generally acknowledged method of preventing data piracy. This paper proposes a blind video technique based on Fast Walsh Hadamard Transform (FWHT), Discrete Wavelet (DWT), and Arnold Map. The proposed chooses only frames with maximum minimum energy features to host watermark. It also exploits advantages both fast transform (FWHT) discrete wavelet transform...

In this paper we study a generalization of the Donoho-Johnstone denoising model for the case of the translation invariant wavelet transform. Instead of soft-thresholding coeecients of the classical orthogonal discrete wavelet transform, we study soft-thresholding of the co-eecients of the translation invariant discrete wavelet transform. This latter transform is not an orthogonal transformation...

The two-dimensional low-speed structure of a turbulent boundary layer has been clearly visualized by a combination of a shear stress sensor using micro electro mechanical systems and the discrete wavelet transform. The application of two-dimensional discrete wavelet transforms to the visualization of wall shear stress data obtained using the micro shear stress imaging chip is described. The exp...

Image texture analysis techniques have been applied for evaluating tendon injuries in racehorses. Ultrasound images from superficial and deep digital flexor tendons have been characterized and a measure for quantifying injury grade has been proposed. Wavelet-based texture segmentation and classification algorithms have been developed for quantification of the injury grades. Discrete wavelet pac...

The wavelet transform has become a useful computational tool for a variety of signal and image processing applications. For example, the wavelet transform is useful for the compression of digital image files; smaller files are important for storing images using less memory and for transmitting images faster and more reliably. The FBI uses wavelet transforms for compressing digitally scanned fin...

This thesis studies the application of signal-adaptive lter banks in perceptual coding of audio with an emphasis on Wavelet Filter Banks (WFB). It provides an overview of perceptual coding of audio, the motivating psychoacoustic principles, transforms and wavelet theory. Additionally, di erent existing wavelets-based audio coding schemes are presented. The aim of most of the schemes is to overc...

In this paper we design a new family of biorthogonal wavelet transforms that are based on polynomial and discrete splines. The wavelet transforms are constructed via lifting steps, where the prediction and update filters are derived from various types of interpolatory and quasi-interpolatory splines. The transforms use finite and infinite impulse response (IIR) filters and are implemented in a ...

The effectiveness of many hyperspectral feature extraction algorithms involving classification (and linear spectral unmixing) are dependent on the use of spectral signature libraries. If two or more signatures are roughly similar to each other, these methods which use algorithms such as singular value decomposition (SVD) or least squares to identify the object will not work well. This especiall...

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