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用分形几何学方法对遥感数据进行了分析，从而定量解释遥感影像。共编制了３种分数维测量方法，它们是分线方法（或等值线方法），方差方法和三角棱柱方法。用分线方法计算了腾冲地区陆地卫星ＴＭ数据的分数维。图像数据的等值线长度分别按行，按列和按行－列方法处理记取以便能发现图像的模式变化。当图像有明显的走向模式时，按行方法所测量的Ｄ值与按列方法测得的Ｄ值是不同的。按行－列方法测量的Ｄ值几乎不受定向模式的影响。当Ｒ（相关系数）＞０．９时，按３种方式记取等值线所得到的Ｄ值的变化趋势是一致的，都能给出图像数据中的空间相互关系。通过分维测量，不但能描述图像数据的整体特征而且能描述图像数据中的每个值的特征，揭示遥感数据表观的无序性和内在的规律性，更重要的是可把这些Ｄ值与地面物体之间建立联系来探讨各种自然现象中的有用信息。
The fractal geometry method is used to analyze the remote sensing data to quantitatively explain the remote sensing image. A total of three kinds of fractal measurement methods were compiled, which are the method of dividing line (or contour line), the method of variance and the method of triangular prism. The fractal dimension of Landsat TM data in Tengchong area was calculated by the method of sub-line. The contour length of the image data is processed by row, column, and row-column methods, respectively, to find the pattern changes of the image. When the image has a clear strike pattern, the D value measured by the line method is different from the D value measured by the column method. The D value measured by the row-column method is hardly affected by the orientation mode. When R (correlation coefficient)> 0.9, the change trend of the D values obtained by the isometric drawing in three ways is consistent, and the spatial relationship among the image data can be given. Through fractal dimension measurement, not only can describe the overall characteristics of image data but also describe the characteristics of each value in the image data to reveal the apparent disorder and inherent regularity of remote sensing data. More importantly, these D values Connect with ground objects to explore useful information in various natural phenomena.