نتایج جستجو برای: deslauries dubuc wavelets
تعداد نتایج: 7160 فیلتر نتایج به سال:
This is part of a program devoted to the study of wavelets by making use of their Fourier transforms. We shall rst give a constructive characterization of all minimally-supported-frequencies(m.s.f.) wavelets. Then we use this to construct new m.s.f. wavelets, including ones that are not band-limited. We shall also provide a simple necessary and suucient condition for an m.s.f. wavelet to be ass...
1.1 Pictures of complex wavelets Figure 1 shows the six distinct Daubechies’ wavelets with five vanishing moments. Panels (c) and (f) show respectively the familiar extremal phase and least asymmetric real wavelets, while the other panels show the four distinct complex-valued wavelets. Even though these cDws share the same number of vanishing moments, they are visually very different to each ot...
The wavelet dimension function for arbitrary real dilations is defined and used to address several questions involving the existence of MRA wavelets and well-localized wavelets for irrational dilations. The theory of quasi-affine frames for rational dilations and the existence of non-MSF wavelets for certain irrational dilations play an important role in this development. Expansive dilations ad...
We describe a method to construct a hierarchical representation of a given implicitly defined algebraic spline curve with the help of weighted spline wavelets. These wavelets are adapted to the region of interest, in our case to the region along the curve, by means of a weighted inner product. The application of two different types of weighted spline wavelets is considered and compared with sta...
New elliptic cylindrical wavelets are introduced, which exploit the relationship between analysing filters and Floquet’s solution of Mathieu differential equations. It is shown that the transfer function of both multiresolution filters is related to the solution of a Mathieu equation of odd characteristic exponent. The number of notches of these analysing filters can be easily designed. Wavelet...
An adaptive numerical method for solving partial differential equations is developed. The method is based on the whole new class of second-generation wavelets. Wavelet decomposition is used for grid adaptation and interpolation, while a new O(N ) hierarchical finite difference scheme, which takes advantage of wavelet multilevel decomposition, is used for derivative calculations. The treatment o...
In this paper we study some problems related with the theory of multidimensional p-adic wavelets in connection with the theory of multidimensional p-adic pseudo-differential operators (in the p-adic Lizorkin space). We introduce a new class of n-dimensional p-adic compactly supported wavelets. In one-dimensional case this class includes the Kozyrev p-adic wavelets. These wavelets (and their Fou...
The main purpose of this paper is to give a procedure to “mollify” the low-pass filters of a large number of Minimally Supported Frequency (MSF) wavelets, so that the smoother functions obtained in this way are also low-pass filters for an MRA. Hence, we are able to approximate (in the L2-norm) MSF wavelets by wavelets with any desired degree of smoothness on the Fourier transform side. Althoug...
Discrete wavelet transform is an effective tool to generate scalable stream, but it cannot efficiently represent edges which are not aligned in horizontal or vertical directions, while natural images often contain rich edges and textures of this kind. Hence, recently, intensive research has been focused particularly on the directional wavelets which can effectively represent directional attribu...
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