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In this paper, a tight single-orthogonal wavelet support on the basis of its translation as a number of wavelet functions to construct the two-tight support symmetric multi-wavelet is given. The method which constructs multi-wavelet smooth approximation is simple and easy. The support length is shorter than the single wavelet. The proposed method in this paper has a better practical value.
Comparing the two improved methods, which are improved Sobel operator and improved wavelet transform using the multi-scale morphological filtering, subjective visual have achieved better results. However there are advantages and disadvantages in objective evaluations. So this paper makes the gained edges image fusion with the two improved methods using the wavelet transform fusion technology. The...
In this paper, we construct a two-dimensional orthogonal multiscaling function by using n filters and a two-dimensional orthogonal single scaling function, and several equivalent conditions are received. Finally, for the study on a special FIR filters, the method of this construction is effective from an example.
In this paper, the explicit and analytic expression of the reproducing kernel function for the image space of the wavelet transform is obtained based on the fact that the image space of wavelet transform is a reproducing kernel Hilbert space. Here we describe in detail the reproducing kernel and structure of this space when the scale factor is fixed. This provides the theoretic basis for discussing...
In this paper, the expression of the reproducing kernel function of image space of Gabor wavelet transform is shown based on the image space of the continuous wavelet transform as a reproducing kernel Hilbert space, and when scale factor and translation factor are fixed, a concrete characterization of image space of Gabor wavelet transform is given by the theory of reproducing kernel function. We...
The kernel function of support vector machine(SVM) is an important factor for studying the result of the SVM. Based on the conditions of the support vector kernel function and reproducing kernel(RK) theory, a novel notion of least squares RK support vector machine(LS-RKSVM) with a RK on the Sobolev Hilbert space H1(R;a,b) is proposed for regressing Beat-wave signal. The choice of the RK is important...
The expression of the reproducing kernel function and the isometric identities of the image space of Gabor wavelet transform are shown in this paper. By the construction of the reproducing kernel function the authors show that the general and concrete properties of the image space of Gabor wavelet transform based on the image space of the continuous wavelet transform is a reproducing kernel Hilbert...
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