Multi-Scale Texture Modeling

Patterns of crystallographic preferred orientation are referred to as texture. The specific subject of texture analysis is the experimental determination and interpretation of the statistical distribution of orientations of crystals within a specimen of polycrystalline material, which could be metals or rocks. The objective is to relate an observed pattern of preferred orientation to its generating processes and vice versa. In geosciences, texture of minerals in rocks is used to infer constraints on their tectono-metamorphic history. Since most physical properties of crystals, such as elastic moduli, the coefficients of thermal expansion, or chemical resistance to etching depends on crystal symmetry and orientation, the presence of texture imparts directional properties to the polycrystalline material. A major issue of mathematical texture analysis is the resolution of the inverse problem to determine a reasonable orientation density function on SO(3) from measured pole intensities on , which relates to the inverse of the totally geodesic Radon transform. This communication introduces a wavelet approach into mathematical texture analysis. Wavelets on the two-dimensional sphere and on the rotational group SO(3) are discussed, and an algorithms for a wavelet decomposition on both domains following the ideas of Ta-Hsin Li is given. The relationship of these wavelets on both domains with respect to the totally geodesic Radon transform is investigated. In particular, it is shown that the Radon transform of these wavelets on SO(3) are again wavelets on . A novel algorithm for the inversion of experimental pole intensities to an orientation density function based on this relationship is developed.     

A comparison between 2D and 3D wavelet analysis method for asteroid family dynamical study

As found in previous studies (Bendjoyaet al. 1991) the wavelet analysis is a reliable tool for the determination of asteroid families. A comparison between the 2D and a newly developed 3D wavelet analysis is performed on 14 fictitious families numerically generated the members of which area priori known. It clearly appears that the 3D method brings improvements to the 2D approach. Indeed the 3D analysis appears well suited for all cases even for those corresponding to the very dense Flora region and for exotic families such as filamentar ones. With the 2D method, satisfying results are obtained for the simulations which correspond to 70% of the real asteroid families previously found. The aim of this paper is to show quantitatively the improvement of the 3D method versus the 2D one.     

地震信号的相位恢复及误差分析

常见的几种地震子波有:零相位子波、最小相位子波、最大相位子波和混合相位子波。以不同类型的信号为激发子波,对不同地层模型合成地震道。仅用原始合成地震道记录的振幅谱来恢复原始记录,讨论不同方法下,由于激发子波的不同,对比分析原始记录与恢复记录的差异,及其恢复效果。     

电子地图中多尺度地图数据显示的研究

将计算机三维模型简化中的LOD思想引入到电子地图的组织和显示中,提出了同一比例尺数字地图不同详细程度的分层显示方法和不同比例尺数字地图嵌套显示方法,实现了电子地图的多级缩放。     

基于复小波变换的SAR图像斑点滤波方法

斑点噪声的存在使得SAR图像的应用受到较大的限制.文中首先介绍了SAR图像斑点噪声模型以及几种常用的SAR斑点噪声抑制方法;然后对小波变换斑点噪声滤波方法进行分析,提出了基于二元树复小波变换的SAR图像滤波方法.实验比较表明,二元树复小波变换抑制SAR斑点噪声效果明显,较小波变换更具有优越性.     

基于小波消噪和符号动力学的径流变化复杂性研究

提出了基于小波消噪的符号动力学途径研究径流变化的复杂度。对径流序列进行小波消噪,运用Lempel-Ziv算法计算其复杂度,以长江、黄河流域为例定量分析年径流复杂性。为研究水文系统的复杂性提供了工具。研究表明:①黄河流域径流变化比长江流域复杂;②黄河流域年径流的平均复杂度为8.3,从上游到下游的复杂性变化趋势不明显;③从时间纵向看,黄河年径流变化的复杂性并未发生显著的变化。     

基于小波变换系数自适应阈值法在语音去噪中的应用

在软阈值去噪算法基础上，根据小波变换后信号与噪音具有的奇异性，提出无偏风险自适应阈值估计算法，并应用于语音信号的去噪处理，实验结果表明该算法的最小均方误差低于其他的去噪算法。     

太阳活动与黄河流域降水关系分析

太阳活动对黄河流域降水有一定影响.引用Morlet小波分析技术,对黄河流域近50年来的降水与太阳黑子的小波系数变化进行分析,表明在1951～1997年期间,黄河流域年降水与太阳黑子在9年时间尺度上呈一定的负相关关系,且降水有1～2年的滞后现象.     

单频GPS整周模糊度动态快速求解的研究

提出了一种动态快速求解整周模糊度的方法,即先对系数阵进行QR分解,然后通过矩阵变换使模糊度参数和位置参数分离,从而降低矩阵的维数,满足实时动态求解的要求,最后应用LAMBDA方法搜索模糊度。为验证该算法,用单频GPS接收机进行了静态定位和动态定位两种试验。结果表明,静态定位误差小于1cm,动态定位误差小于3cm。由此可见,该方法能够为动态用户快速而精确地实施GPS单频动态定位。     

基于立体补偿的遥感立体像对压缩方法

提出研究遥感立体像对的压缩问题。主要讨论了左右影像的视差补偿和辐射补偿。针对遥感立体像对视差分布不均以及左右影像存在辐射差的特点,提出了一种基于立体补偿的遥感立体像对压缩算法。该算法以左片为基准图像,采用自适应视差估计计算出右片的视差矢量,结合辐射校正和重叠块视差补偿技术得到平滑的右片的预测图像,以右片减去预测图像得到残差图像,然后采用小波压缩算法对残差图像进行压缩。实验结果表明,该算法能显著提高遥感立体像对的压缩性能。