This paper is to construct tight wavelet frame systems containing a set of canonical filters by applying the unitary extension principle of [20]. A set of filters are canonical if the filters in this set are generated by flipping, adding a conjugation with a proper sign adjusting from one filter. The simplest way to construct wavelets of s-variables is to use the 2−1 canonical filters generated...

This paper proposes a new video denoising technique where spatially adaptive noise filtering in wavelet (transform) domain is combined with temporal filtering in signal domain. AWGN is being considered which behaves as Gaussian random variable. In this paper, spatial filtering of individual frames is done in the wavelet domain, and the filtering between the frames is done by recursive temporal ...

In this paper we have proposed a robust object tracking method using rough entropy and flux in wavelet domain. The tracking framework necessitates robust and efficient but accurate methods for segmentation and matching. The object is represented in wavelet domain features to minimize the effect of frame to frame variations and noise. The concept of maximizing rough entropy in wavelet domain hel...

This paper discusses the use of a discrete wavelet transform for video intra frame coding in (mobile) video telephones. Present state-ofthe-art wavelet codecs yield high-quality still pictures. However, these codecs are generally quite complex [1][2][3], whereas our work is influenced by the need for a low-complexity and low-cost hardware solution. In the context of hardware implementation and ...

Localized defects in rotating mechanical parts tend to result in impulse response in vibration signal, which contain important information about system dynamics being analyzed. Thus, parameter identification of impulse response provides a potential approach for localized fault diagnosis. A method combining the Morlet wavelet and correlation filtering, named Cyclic Morlet Wavelet Correlation Fil...

A hardware architecture is presented of a wavelet based multiple line addressing driving scheme for passive matrix displays using the FPGA (Field Programmable Gate Arrays), which will be integrated in the scalable video coding architecture. The incoming compressed video data stream will then directly be transformed to the required column voltages by the hardware architecture without the need of...

A motion-compensated wavelet video coder is presented that uses adaptive mode selection (AMS) for each macroblock (MB). The block-based motion estimation is performed in the spatial domain, and an embedded zerotree wavelet coder (EZW) is employed to encode the residue frame. In contrast to other motion-compensated wavelet video coders, where all the MBs are forced to be in INTER mode, we constr...

This paper investigates video coding with wavelet transforms applied in the temporal direction of a video sequence. The wavelets are implemented with the lifting scheme in order to permit motion compensation between successive pictures. We generalize the coding scheme and permit motion compensation from any even picture in the GOP by maintaining the invertibility of the inter-frame transform. W...

This paper describes an approach for video shot detection. It relies on the temporal analysis of frame to frame optical flow measurements. These measures, which are motion wavelet coefficients directly estimated from image sequence, exhibit discontinuities when shot boundaries occur. These transitions are detected by considering the temporal trajectories of the linear prediction errors of wavel...

A frame multiresolution (FMRA for short) orthogonal wavelet is a single-function orthogonal wavelet such that the associated scaling space V0 admits a normalized tight frame (under translations). In this paper, we prove that for any expansive matrix A with integer entries, there exist A-dilation FMRA orthogonal wavelets. FMRA orthogonal wavelets for some other expansive matrix with non integer ...