中文摘要：

在观测尺度r的取值范围足够大时，地图目标的Richardson曲线往往呈现反S形态。根据这一特点，采用反S数学模型——带导数三次多项式模型拟合Richardson曲线，并根据该模型推导出分形无标度区间的计算公式，提出一种自动确定地图目标分形无标度区的新方法，最后通过实验验证本方法的可行性和有效性。

英文摘要：

If the scaling range of observing is large enough, the Richardson curve of a map object always has an inverse ogee shape. Considering this fractal character of map objects, this paper analyzed why this phenomenon appeared in detail, and proposed a new method for determining the fractal non-scaling interval of a map object. This new method substitutes an inverse ‘S＇ mathematical model-Cubic Polynomial Model with Derivative for the original Richardson curve of a map object. On the base of the mathematical model, a mathematical formula for determining the non-scaling interval was established. Finally some typical experiments validated the great efficiency of the new method.