Key Engineering Materials Vols. 439-440

Abstract: In this paper, wetlands landscape pattern dynamic changes were investigated in the eastern Yellow River Delta National Nature Reserve by the combination use of satellite remote sensing and geographic information systems. The main objective of this study was to determine the variation characteristics and reasons of the reserve wetlands since the Yellow River resumed its normal runoff from 2001 to 2008. Results showed that the reserve wetlands were mainly composed of the natural wetlands and the constructed wetlands, while the proportion of the later was very less. The amount of the wetlands increased 91.510 km2 in total from 2001 to 2008, although there was a little decrease about 7.569 km2 from 2001 to 2004. Among these types of wetlands the bare muddy tidal flat, the estuarine waters and the palustrine wetlands had a relatively significant change. Through transformation analysis between the above three types and the others, we can conclude that there are two major factors affecting the reserve wetlands landscapes: Firstly, the changing condition of Yellow River water and sediment, and secondly, the increasing human activities.

Abstract: Wavelet analysis has become a popular subject in scientific research during the past twenty years. In this work, we introduce the notion of vector-valued multiresolution analysis and vector-valued multivariate wavelet packets associated with an integer-valued dilation matrix. A novel method for constructing multi-dimen- -sional vector-valued wavelet packet is presented. Their characteristics are researched by means of operator theory, time-frequency analysis method and matrix theory. Three orthogonality formulas concerning the wavelet packets are established. Orthogonality decomposition relation formulas of the space are derived by constructing a series of subspaces of wavelet packets. Finally, one new orthonormal wavelet packet bases of are constructed from these wavelet packets.

Abstract: The advantages of wavelets and their promising features in various application have attracted a lot of interest and effort in recent years. In this article, the notion of two-directional biorthogonal finitely supported trivariate wavelet packets with multiscale is developed. Their properties is investigated by virtue of algebra theory, time-frequency analysis method and functional analysis method. In the final, new Riesz bases of space are constructed from these wavelet packets. Three biorthogonality formulas regarding these wavelet packets are established

Abstract: This paper presents a novel algorithm which concerns with the fast implement of blind image deblurring with a well-reconstructed original image. Firstly, we model both the original image and the blur utilizing the harmonic model in the Sobolev image space, based on which, the prior distributions of them are obtained; Secondly, the Gamma distribution is used as the prior distributions of the unknown parameters to incorporate more prior knowledge for blind image deblurring; Finally, we estimate the original image, the blur and the unknown parameters simultaneously and iteratively by the evidence analysis method. The experimental results show the efficiency and the competitive performance compared of the proposed algorithm with existing blind image deblurring methods.

Abstract: Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this article, the notion of biorthogonal two-direction compactly supported bivariate wavelet packets with polyscale is developed. Their properties is investigated by algebra theory, means of time-frequency analysis methodand, operator theory. The direct decomposition relationship is provided. In the final, new Riesz bases of space are constructed from these wavelet packets. Three biorthogonality formulas regarding these wavelet packets are established.

Abstract: In this paper, we introduce a sort of vector four-dimensional wavelet packets according to a dilation matrix, which are generalizations of univariate wavelet packets. The definition of biortho- gonal vector four-dimensional wavelet packets is provided and their biorthogonality quality is researched by means of time-frequency analysis method, vector subdivision scheme and functional analysis method. Three biorthogonality formulas regarding the wavelet packets are established. Finally, it is shown how to draw new Riesz bases of space from these wavelet packets. The sufficient condition for the existence of four-dimensional wavelet packets is established based on the multiresolution analysis method.

Abstract: Frame theory has been the focus of active research for twenty years, both in theory and applications. In this work, the notion of the bivariate generalized multiresolution structure (BGMS) of subspace is proposed. The characteristics of bivariate affine pseudoframes for subspaces is investigated. The construction of a GMS of Paley-Wiener subspace of is studied. The pyramid decomposition scheme is obtained based on such a GMS and a sufficient condition for its existence is provided. A constructive method for affine frames of based on a BGMS is established.

Abstract: In this article, the notion of a kind of multivariate vector-valued wavelet packets with composite dilation matrix is introduced. A new method for designing a kind of biorthogonal vector- valued wavelet packets in higher dimensions is developed and their biorthogonality property is inv- -estigated by virtue of matrix theory, time-frequency analysis method, and operator theory. Two biorthogonality formulas concerning these wavelet packets are presented. Moreover, it is shown how to gain new Riesz bases of space by constructing a series of subspace of wavelet packets.

Abstract: In this work, the notion of vector-valued multiresolution analysis and biort- ogonal vector–valued wavelets is introduced. The existence of compactly supported biorthogonal vector-valued wavelets associated with a pair of biorthogonal compactly supported vector-valued scaling functions is investigated. A new method for constructing a class of biorthogonal compactly supported vector-valued wavelet functions is presented by using multiresolution analysis and matrix theory.

Abstract: In this article, the notion of orthogonal nonseparable four-dimensional wavelet packets, which is the generalization of orthogonal univariate wavelet packets, is introduced. A new approach for constructing them is presented by iteration method. The orthogonality properties of four-dimensional wavelet packets are discussed. Three orthogonality formulas concerning these wavelet packets are estabished.