In this correspondence, we generalize the theory of compactly supported biorthogonal two-channel wavelet bases to M -channel. A sufficient condition for the M -channel perfect reconstruction filter banks to constructM -channel biorthogonal bases of compactly supported wavelets is derived. It is shown that the construction of biorthogonal M -channel wavelet bases is equivalent to the design of a...

In this work, we propose an image inpainting optimization model whose objective functional is a smoothed l norm of the weighted non-decimated discrete cosine transform (DCT) coefficients of the underlying image. By identifying the objective function of the proposed model as a sum of a differentiable term and a non-differentiable term, we give a basic algorithm inspired by Beck and Teboulle’s re...

In order to get an efficient image representation we introduce a new adaptive Haar wavelet transform, calledTetrolet Transform. Tetrolets are Haar-type wavelets whose supports are tetrominoes which are shapes made by connecting four equal-sized squares. The corresponding filter bank algorithm is simple but enormously effective. Numerical results show the strong efficiency of the tetrolet transf...

Image compression is a method that is used to reduce the irrelevance and redundancy of the image data i.e reduce the storage space for images ,video in order to increase the performance of transmission process in an efficient form without compromising the quality and information of images. This paper deals with two image compression techniques. The first one is Discrete Cosine Transform (DCT) a...

Piracy is a big threat to the original contents. This multi-model approach interleaves some frequency domain watermarking strategies to counteract shortcomings of one strategy by the advantages of other. The original image is divided into spatially disjoint blocks. Watermarking is a way of embedding a mark that hides information in a multimedia carrier. Major issues in Image watermarking are to...

This paper proposes three approaches to content-based watermarking for image authentication based on Independent Component Analysis (ICA). In this scheme, ICA is applied to blocks of the cover image and the resulting mixing matrix is used as the content-based feature. This is embedded in the mid-frequency DCT coefficient of the block in the first method. The watermark is embedded in the 3 rd le...

Currently, it is very essential to monitor activities in Video surveillance applications both in private and public environments. In this context, our paper presents a novel framework to detect the normal or abnormal event situations by analyzing the pixel-wise motion context using block-based approaches. First motion estimation techniques are applied to characterize the events at the pixel lev...