in this paper, we characterize multiresolution analysis(mra) parseval frame multiwavelets in l^2(r^d) with matrix dilations of the form (d f )(x) = sqrt{2}f (ax), where a is an arbitrary expanding dtimes d matrix with integer coefficients, such that |deta| =2. we study a class of generalized low pass matrix filters that allow us to define (and construct) the subclass of mra tight frame multiwav...

Multiresolution analysis has received considerable attention in recent years by researchers in the fields of computer graphics, geometric modeling and visualization. They are now considered a powerful tool for efficiently representing functions at multiple levels-of-detail with many inherent advantages, including compression, Level-Of-Details (LOD) display, progressive transmission and LOD edit...

Digital steganography or data hiding has emerged as a new area of research in connection to the communication in secured channel as well as intellectual property protection for multimedia signals. The redundancy in image representation can be exploited successfully to embed specified characteristic information with a good quality of imperceptibility. The hidden multimedia information will be co...

Gabardo and Nashed have studied nonuniform multiresolution analysis based on the theory of spectral pairs in a series of papers, see Refs. 4 and 5. Farkov,3 has extended the notion of multiresolution analysis on locally compact Abelian groups and constructed the compactly supported orthogonal p-wavelets on L(R+). We have considered the nonuniform multiresolution analysis on positive half-line. ...

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The motivation behind this work was to analyze the attitude of the journalist through his 5 serial articles, concerning the local referendum about the construction of nuclear power station, which had written after having interviewed in 4 areas. The articles were composed by his description and the opinion of interviewers: supporters, objectors and others. Employing a mathematical method, the an...

A multiresolution analysis system for interpreting digital mammograms is proposed and tested. This system is based on using fractional amount of biggest wavelets coefficients in multilevel decomposition. A set of real labeled database is used in evaluating the proposed system. The evaluation results show that the system has a remarkably high efficiency compared by other systems known till prese...