Edge enhancement in multispectral satellite images by means of vector operators

Edge enhancement is an element of analysis to derive the spatial structure of satellite images. Two methods to extract edges from multispectral satellite images are presented. A multispectral image is modeled as a vector field with a number of dimensions equal to the number of bands in the image. In this model, a pixel is defined as a vector formed by a number of elements equal to the number of bands. Two vector operators are applied to such vector field. In our first method, we extend the definition of the gradient. In this extension, the vector difference of the window central pixel with neighboring pixels is obtained. A multispectral image is then generated where each pixel represents the maximum change in spectral response in the image in any direction. This image is named a multispectral gradient. The other method, considers the generalization of the Laplacian by means of an η-dimensional Fourier transform. This image is named a multispectral Laplacian. The vector operators perform a simultaneous extraction of edge-content in the spectral bands of a multispectral image. Our methods are parameter-free. Our methods work for a multispectral image of any number of bands. Two examples are discussed that involve multispectral satellite images at two scales. We compare our results with widely used edge enhancement procedures. The evaluation of results shows better performance of proposed methods when compared to widely used edge operators.     

电法勘探中异常响应特征的增强算法及其实现

地球物理电法勘探中所获得的地下地质异常体的异常响应有时存在信号不强、特征不明显或范围轮廓模糊不清,影响了地质解释与判读的正确性和精确度。通过对异常响应等值线图沿梯度带变化剧烈的方向求一次导数、二次导数及执行梯度算子和拉普拉斯算子来增强异常响应特征,能使异常响应等值线图的异常中心更加明确,异常响应范围边缘更加清晰,这对地质解释与判读的正确性和精确度有积极作用。      

三维多尺度体曲率的算法及应用(英文)

为了充分提取与挖掘储层结构及构造信息在时间(深度)和空间上的多尺度特征,构造了一种新的三维多尺度体曲率分析方法,并给出了三维体曲率快速提取算法。与常规的体曲率方法相比,本文方法的改进主要体现在以下两个方面:①在体曲率分析中引入时频域分频展开和对应的空间波数域多尺度自适应微分算子,可同时在时间和空间上反映地震信息的多尺度特征;②将不同尺度的体曲率数据进行有机融合,充分利用了不同尺度曲率异常信息,同时突出有效异常,降低噪声影响,为体曲率属性解释奠定基础。利用该方法处理了陆上和海上三维地震资料,实现了对储层展布、断层及裂缝发育带的检测及多尺度特征的有效刻画。     

The form of the reflection operator and extended image gathers for a dipping plane reflector in two space dimensions

The reflection operator for a simple flat‐lying interface can be thought of as the set of all its plane‐wave reflection coefficients or as the set of virtual surveys with sources and receivers along the interface. When there is dip, however, it is necessary to include the varying effects of propagation between the virtual‐survey level and the interface. Hence, step one in this paper is to derive the reflection operator for a dipping plane interface as observed at a datum level some distance away. The key assumption is that the aperture at the datum level is sufficient to characterize the reflector properties around a particular point. This translates into an assumption that the dip is moderate, though no explicit small‐angle approximation is required. The second step is to find the apparent reflection operator that would relate data that have been extrapolated from the datum towards and possibly beyond the reflector using an assumed migration velocity. This apparent reflection operator is closely related to extended common‐image gathers. The apparent reflection operator may be analysed asymptotically in terms of rays and other signals, shedding light on the structure of extended image gathers. In keeping with the virtual‐survey idea, the results are considered in a subsurface space‐time or slowness‐time domain at various extrapolation levels around the interface. An important distinction is drawn between using subsurface midpoint‐offset coordinates and the wavefield coordinates of the incident and reflected waves. The latter reveal more clearly the effects of dip, because they lead to a more asymmetric apparent reflection operator. Properties such as an up‐dip shift of a traveltime minimum and its associated curvature theoretically provide information about the reflector location and dip and the migration‐velocity error. The space‐time form of the reflection operator can be highly intricate around the offset‐time origin and it was described for a simple flat interface in a background paper. To avoid a layer of mathematics, the reflection‐operator formulas presented here are in the intermediate space‐frequency domain. They are analysed by considering their stationary‐phase and branch‐point high‐frequency contributions. There is no Born‐like assumption of weak reflector contrast and so wide‐angle, total reflection and head‐wave effects are included. Snell’s law is an explicit part of the theory. It is hoped that the work will therefore be a step towards the goal of unifying amplitude‐versus‐offset, imaging and waveform inversion.     

肇庆市黎槎村的演变过程及符号空间

肇庆市黎槎村演变过程主要经历了初创期、兴盛期和外溢期,基于符号空间视角,从整体和内部分别对黎槎村文化景观符号进行剖析,研究显示：黎槎村村域符号空间依岗环水而建,外部形态呈八卦状,由“十里一坊”构成;中心符号空间由起初的周家井、凤凰木,演变为“一台四井”,现扩大为古村整体;地堂是家族地位的象征符号;酒堂是聚会活动的象征符号;祖堂是家族传承的象征符号。黎槎村成于土地政策转变带来的契机,传统文化的推动与改良,对自然环境的适应与改造以及防御需求的驱动。     

基于二阶预测有效度IOWGA算子的变形组合预测研究

针对一阶预测有效度未能考虑预测精度的方差以及权数不变的问题,提出一种基于二阶预测有效度IOWGA算子的变权组合预测方法。该方法以二阶预测有效度作为目标函数,根据预测精度赋权,然后将其运用于变形数据分析中。实验结果表明,该模型预测精度高,适用于变形预测与分析。     

逻辑算子集与模糊粗糙近似算子集的性质及相关性

定义了逻辑算子集与模糊粗糙近似算子集之间的映射,并讨论其性质。特别地给出了由模糊粗糙近似算子构造相应的t范算子以及由连续的严格单调实函数构造相应的negator算子的方法。所得结论对各种特色的粗糙近似模型的建立有指导意义。     

Comparison of Dirichlet–Neumann operator expansions for nonlinear surface gravity waves

The Dirichlet–Neumann operator for the water-wave problem was introduced and expanded by Craig and Sulem [Craig, W., Sulem, C., 1993. [CS] Numerical simulation of gravity waves. J. Comput. Phys. 108, 73–83] and in a slightly different form and for 3D waves by Bateman, Swan and Taylor [Bateman, W.J.D., Swan, C., Taylor, P.H., 2001. [BST] On the efficient numerical simulation of directionally spread surface water waves. J. Comput. Phys. 174, 277–305]. This approach is supposedly superior to techniques derived earlier by West et al. [West, B.J., Brueckner, K.A., Janda, R.S., Milder, D.M., Milton, R.L., 1987. [WW] A new numerical method for surface hydrodynamics. J. Geophys. Res. 92 (C11), 11803–11824] and Dommermuth and Yue [Dommermuth, D.G., Yue, D.K.P., 1987. [DY] A high-order spectral method for the study of nonlinear gravity waves. J. Fluid Mech. 184, 267–288] under seemingly more restrictive assumptions. This paper extracts the Dirichlet–Neumann operator expansions from West et al. and Dommermuth and Yue. Concerning the operator expansions alone it is found that Bateman et al. is identical to West et al. and Dommermuth and Yue while Craig and Sulem is slightly different due to minor differences in the operator definition. For application to the free-surface boundary conditions West et al. devised a consistent truncation at nonlinear order. This alters the equivalence of the different approaches when it comes to the evaluation of the temporal derivative of the free surface elevation, which is decisive for wave evolution. In this regard Craig and Sulem is found to be identical to West et al. while Bateman et al. is identical to Dommermuth and Yue. Pseudo code is provided for alternative computational schemes in Fourier-space and physical space, respectively, along with a discussion of efficiency and potential flexibility.     

关于《混沌与SS混沌不等价》的注记

研究了符号动力系统的子转移,得到了:1)对于σ:Σs→Σs(σ:++ΣZ→ΣZ),则(ⅰ)至少存在Cs2(无穷多)个不同的混沌但非SS混沌且有零拓扑熵的极小子转移;(ⅱ)至少存在Cs2(无穷多)个不同的有零拓扑熵且为SS混沌的极小子转移;(ⅲ)至少存在Cs2(无穷多)个不同的有零拓扑熵且非混沌的极小子转移。2)设s≥2是任一整数,K1(s)={0,1,,s?1}。令a1,a1∈K1(s),a1≠a1,An=A1A2An?1Bn?1,An=A1A2An?1Bn?1,其中Bn?1为由{{}}Kn?1=P1P2Pn?1Pi∈Ai,Ai,1≤i≤n中所有不同成员的任意排列而得到的Kn?1-词,n=3,4,…,A2=A1A1A1A1A1,A2=A1A1A1A1A1,A1=a1,A1=a1;设a=A1A2,X=ω(a,σ),则:①σX:X→X是混沌的但非SS混沌的极小子转移;②σX:X→X的拓扑熵为零,推广了已有的结果和例子。