Representing geographical objects with scale‐induced indeterminate boundaries: A neural network‐based data model     

J. L. Silván‐Cárdenas  L. Wang  F. B. Zhan 《International journal of geographical information science》2013,27(3):295-318

The degree of uncertainty of many geographical objects has long been known to be in intimate relation with the scale of its observation and representation. Yet, the explicit consideration of scaling operations when modeling uncertainty is rarely found. In this study, a neural network‐based data model was investigated for representing geographical objects with scale‐induced indeterminate boundaries. Two types of neural units, combined with two types of activation function, comprise the processing core of the model, where the activation function can model either hard or soft transition zones. The construction of complex fuzzy regions, as well as lines and points, is discussed and illustrated with examples. It is shown how the level of detail that is apparent in the boundary at a given scale can be controlled through the degree of smoothness of each activation function. Several issues about the practical implementation of the model are discussed and indications on how to perform complex overlay operations of fuzzy maps provided. The model was illustrated through an example of representing multi‐resolution, sub‐pixel maps that are typically derived from remote sensing techniques.  相似文献   

Instability of flows near the onset of convection in a rotating layer with stress-free horizontal boundaries     

Olga Podvigina 《地球物理与天体物理流体动力学》2013,107(3):299-326

We investigate instability of convective flows of simple structure (rolls, standing and travelling waves) in a rotating layer with stress-free horizontal boundaries near the onset of convection. We show that the flows are always unstable to perturbations, which are linear combinations of large-scale modes and short-scale modes, whose wave numbers are close to those of the perturbed flows. Depending on asymptotic relations of small parameters α (the difference between the wave number of perturbed flows and the critical wave number for the onset of convection) and ε (ε² being the overcriticality and the perturbed flow amplitude being O(ε)), either small-angle or Eckhaus instability is prevailing. In the case of small-angle instability for rolls the largest growth rate scales as ε^8/5, in agreement with results of Cox and Matthews (Cox, S.M. and Matthews, P.C., Instability of rotating convection. J. Fluid. Mech., 2000, 403, 153–172) obtained for rolls with k = k _c . For waves, the largest growth rate is of the order ε^4/3. In the case of Eckhaus instability the growth rate is of the order of α².  相似文献   

Institutionalization of Racial Inequality in Local Political Geographies     

《Urban geography》2013,34(5):691-709

Municipalities create a local political geography that can institutionalize subordinate positions for minority groups. Most importantly, local governments determine which areas are incorporated into a municipality through annexation and which are excluded. Through these powers, local governments can diminish or deny minority political standing in local affairs, limit access to public services, and reduce the value of minority property. The boundaries are a component of racial residential segregation. Racially disparate application of local governments' power to shape local political geography creates barriers to equality that are difficult to discern on the ground, but which can be made visible by the mapping of spatial data. This study presents four cases where governmental decisions concerning a municipal boundary have institutionalized racial inequality, which is documented with maps created from public GIS data and other public records (e.g., City Council meeting minutes) as well as legal documents. This pattern of systematic exclusion of minority neighborhoods is receiving attention in the legal community, but studies in the social sciences have been limited.  相似文献   

A comparison of alternative criteria for defining fuzzy boundaries on fuzzy categorical maps     

Zhang Jingxiong  Roger Kirby 《地球空间信息科学学报》2013,16(2):26-34

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Mathematical Analysis of a Model of River Channel Formation     

J. I. Díaz  A. C. Fowler  A. I. Muñoz  E. Schiavi 《Pure and Applied Geophysics》2008,165(8):1663-1682

The study of overland flow of water over an erodible sediment leads to a coupled model describing the evolution of the topographic elevation and the depth of the overland water film. The spatially uniform solution of this model is unstable, and this instability corresponds to the formation of rills, which in reality then grow and coalesce to form large-scale river channels. In this paper we consider the deduction and mathematical analysis of a deterministic model describing river channel formation and the evolution of its depth. The model involves a degenerate nonlinear parabolic equation (satisfied on the interior of the support of the solution) with a super-linear source term and a prescribed constant mass. We propose here a global formulation of the problem (formulated in the whole space, beyond the support of the solution) which allows us to show the existence of a solution and leads to a suitable numerical scheme for its approximation. A particular novelty of the model is that the evolving channel self-determines its own width, without the need to pose any extra conditions at the channel margin.  相似文献   

弹性波正演模拟中PML吸收边界条件的改进   总被引：4，自引：0，他引：4  

秦臻  任培罡  姚姚  张才 《地球科学》2009,34(4):658-664

在弹性波有限差分正演模拟中, 完全匹配层(PML) 吸收边界条件是使用广泛、吸收效果最好的吸收边界条件.在目前的两种PML实现方法中, 分裂形式的完全匹配层(SPML) 方法计算存储量大、编程实现复杂; 非分裂形式的完全匹配层(NPML) 方法计算效率低、计算过程复杂.针对传统PML吸收边界条件在实现过程中存在的问题, 推导出了一种简洁有效的非卷积实现的NPML吸收边界条件, 既不需要对场分量进行分裂, 也不需要做复杂的卷积运算.分析结果表明, 本文实现的NPML吸收边界条件不仅具有良好的吸收衰减性能, 而且计算方程简单, 编程实现容易, 占有内存更小.   相似文献   

大陆盆地的聚敛-闭合过程研究:以塔里木盆地为例     

李江海  潘文庆  蔡振忠  程海艳 《地学前缘》2007,14(6):105-113

印度与欧亚大陆第三纪以来碰撞汇聚,造成亚洲大陆内部强烈缩短变形。塔里木盆地如何发生相应的变形调节和应变分解,成为中亚板内构造的重要问题。塔里木陆块新生代以来被板内造山带及走滑断裂系环绕,盆地内部以刚性为特征,未发生强烈构造变形。区域大断裂与塔里木盆地的冲断、走滑构造边界共同作用,形成盆地边缘复杂的构造系。其新生代构造变形主要集中于盆地的构造边界上,4条构造边界显示差异性的运动特征和构造交切关系。盆地边缘构造带叠加并向盆内扩展,造成盆地总体上水平缩短,并发生应变分解。盆地内部发生沉积-构造分异,发育前陆盆地、前缘隆起、复合前陆盆地、拉分盆地等单元。其中,盆地西北缘及西南缘发生陆内俯冲,形成前陆盆地及前陆冲断带,对盆内构造演化有重要影响。区域构造研究表明,塔里木盆地新生代主要发生了4期区域构造变形,第三纪以来还发生顺时针旋转。大陆盆地构造边界上的运动组合、盆内不均匀阻挡和滑脱拆离,造成其变形扩展方式的差异,并影响盆内单元构造演化。因此,塔里木盆地是认识大陆盆地聚敛与闭合过程的天然实验室。  相似文献   

坝基混凝土防渗墙与泥皮接触面试验研究     

傅华  章为民 《岩土力学》2006,27(Z2):521-524

通过对不同厚度的泥皮和不同粗糙程度的混凝土接触面的大型剪切试验研究,得出不同的强度和变形指标,试验结果表明,在同样的泥皮厚度条件下,混凝土接触面越粗糙能够得到较高的强度和变形指标;在相同的接触面粗糙条件下,泥皮厚度越薄越能得到较高的强度和变形指标。对于上述不同试验条件下强度和变形指标产生差异的原因进行分析,试验中考虑泥皮的存在是合适的。  相似文献   

Significance of ichnofossils to genetic stratigraphy--Examples from the Cretaceous of Alberta, Canada   总被引：1，自引：0，他引：1  

S. George Pemberton  James A. MacEachern  Murray K. Gingras  ZHANG Jianping 《中国科学D辑(英文版)》2000,43(5)

Trace fossils represent both sedimentological and paleontological entities, representing a unique blending of potential environmental indicators in the rock record. Trace fossils and trace fossil suites can be employed effectively to aid in the recognition of various discontinuity types and to assist in their genetic interpretation. Ichnology may be employed to resolve surfaces of stratigraphic significance in two main ways: 1) through the identification of discontinuities using substrate-controlled ichnofacies, and 2) through careful analysis of vertical softground (penecontemporaneous) ichnologic successions (analogous to facies successions). Ichnological analysis is a valuable tool in genetic stratigraphic studies. Integrating the data derived from substrate-controlled ichnofacies with paleoecological data from vertical ichnologic successions greatly enhances the recognition and interpretation of a wide variety of stratigraphic surfaces. When this is coupled with conventional facies analysis and sequence stratigraphy, a powerful approach to the interpretation of the rock record is generated.  相似文献   

The Neftegorsk (Sakhalin Island) 1995 earthquake: a rare interplate event     

S. Arefiev  E. Rogozhin  R. Tatevossian  L. Rivera  A. Cisternas 《Geophysical Journal International》2000,143(3):595-607

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