基于空间统计学的空间数据窗口大小的确定

马洪超, 李德仁

马洪超, 李德仁. 基于空间统计学的空间数据窗口大小的确定[J]. 武汉大学学报 ( 信息科学版), 2001, 26(1): 18-23.
引用本文: 马洪超, 李德仁. 基于空间统计学的空间数据窗口大小的确定[J]. 武汉大学学报 ( 信息科学版), 2001, 26(1): 18-23.
MA Hongchao, LI Deren. Geographic Window Fixing and Its Application Based on Spatial Statistics[J]. Geomatics and Information Science of Wuhan University, 2001, 26(1): 18-23.
Citation: MA Hongchao, LI Deren. Geographic Window Fixing and Its Application Based on Spatial Statistics[J]. Geomatics and Information Science of Wuhan University, 2001, 26(1): 18-23.

基于空间统计学的空间数据窗口大小的确定

基金项目: 中国博士后基金资助项目(01103);国土资源部矿产资源定量预测与评价实验室开放基金资助项目(2000)
详细信息
    作者简介:

    马洪超,副教授,在站博士后。主要从事遥感信息处理、空间统计学理论及其在地理信息处理中的应用等理论研究和软件开发工作。代表成果:资源环境评价决策专家系统;矿产资源预测评价决策分析系统;一种自动绘制聚类分析谱系图的新算法等。E-mail:hcma@hp01.wtusm.edu.cn

  • 中图分类号: TP751;P237.9

Geographic Window Fixing and Its Application Based on Spatial Statistics

  • 摘要: 提出基于空间统计学的方法来确定空间数据窗口大小,实例证明是可行的。同时提出了对海底照片成像不均匀光照进行纠正的思路和方法,该方法简单有效,效果较理想。
    Abstract: Fixing the size and shape of geographic window is vitally important in geo-spatial data processing, especially in the field of remotely sensed data processing. Conventionally, geographic window(both the size and the shape)will be fixed before the image processing task is carried out and this fixed window will be moved within the whole image while operators such as Sobel filter are being calculated within it. Such is the case commonly encountered in spatial filtering. Though commonly used neighborhood processing operators have their fixed shapes and sizes, and weights in their corresponding position in the window, there is no existing methodology for fixing the geographic window self-adaptedly, that is, determining the shape and size of a window according to the image data themselves, other than arbitrarily chosen by the analysts. This paper presents the strategy for implementing the objectives mentioned above in the con-text of two practical examples, by employing theories and approaches from spatial statistics. The first case is to enhance the ground resolution of TM6 by em ploying regression model, which requires some statistical parameters before the regression analysis and all these parameters should be calculated within small image blocks. The second case is to correct the non-uniform illumination effect appearing in pictures of deep sea-floor. The non-uniform illumination effect could be easily removed according to the algorithm proposed in this paper, however, the w hole im age is also needed to be divided into small image blocks before the algorithm can be used. The sizes of all the small image blocks in both cases can not be determined arbitrarily, otherwise, the resultant w ill not be optimal in the first case or the non-uniform illumination effect w ill not be removed completely in the second one. A concise introduction of spatial statistics is presented in the paper in order to help those who are not familiar with this subject. The range, an important parameter from variogram, reflects the area within which the autocorrelation of a regionarized variable between two separated spatial points, say x and x +h, is significant or not. This property is actually the embodiment of the homogeneity in the given area. Once this area is sensed by satellite sensors or by other means and digitized to be digital images, this homogeneity will be inherited. So it is obvious that the size of a geographic window within which geo-spatial data analysis will be carried out should be determined according to the homogeneity of the corresponding area. With this conclusion in mind, the horizontal and vertical variogram can be calculated and the corresponding ranges can be obtained. Assign the values of the horizontal and vertical range to be the width and height of a geographic window respectively, the window is then determined. The main steps implementing the suggested strategy are listed and some attentions that should be paid when using this method are also expounded in the paper. Finally, the two problems presented at the beginning of the paper are successfully solved using the method described here. Besides, the method proposed in this paper of non-uniform illumination correction for deep sea floor pictures is a simple but successful one. Borrowing the idea of linearization and planarization from calculus, a stretching formula proposed in this paper removes the non-uniform illumination effect completely. This method has been widely adopted in practice.
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出版历程
  • 收稿日期:  2000-09-28
  • 发布日期:  2001-01-04

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