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Image in the process of collection and storage can produce noise. Wavelet threshold de-noising is a method to remove noise effectively. The threshold function is a key in wavelet threshold de-noising method. In view of the hard-threshold function discontinuity and soft-threshold function deviation problem, through the analysis of the existing wavelet threshold de-noising methods, we present the improvement...
The traditional Canny operator does not have the adaptive ability in the selection of the variance of the Gaussian filtering. Filtering requires human intervention, and the selection of the variance of Gaussian filtering affects the edge preserving and denoising effect. An improved edge detection algorithm is proposed in this paper. The Gaussian filtering is replaced with the morphological filtering...
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...
The traditional wavelet edge detection algorithm doesn't ideal processing effects for the salt & pepper noised images. In allusion to this shortcoming, an improved wavelet multi-scale edge detection algorithm is proposed in this paper. Morphology is assimilated into the wavelet detection, and an objective data evaluation is given. Compared with the traditional method, the related coefficient of...
In this paper, a method is given to a new compactly supported symmetric and anti-symmetric multi-wavelet from a compactly symmetric scalar wavelet. The new multi-wavelet has similar property with the wavelet. At last, the Harr and cubic B spline is given in the method as 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...
A method for image edge detection based on image fusion is presented in this paper. Since traditional wavelet transforms are unable to control the noise well and the edge is not consistent with direction properties, some improvements are made and a new kind of wavelet transform is proposed. It detects the edge of original image by means of new wavelet transform and Canny operator respectively, then...
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...
A class of new scalar function and wavelet function is constructed by use of Haar wavelet and bivariate box-spline function and their properties, then several sufficient conditions are given when the new wavelet is bivariate box-spline wavelet. This construction provides a new method for the general construction of wavelet so that construction of wavelet becomes much more concise.
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...
In this paper, for the modified Morlet wavelet which is a familiar complex-valued wavelet, the expression of the reproducing kernel function of its images space is shown. Meanwhile the isometric identity formulas in the modified Morlet wavelet transform are given by the particular technique of reproducing kernel theory. It provides theoretic basis for further understanding the image space of wavelet...
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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