Determination method and diagnosis application of non-scale range of correlation dimension;

Engineering surfaces have the fractal characteristics only in the non-scale range.

The novel method of identifying the fractal scaleless range base on wavelet transform modulus maxima;

This method concentrates attention on obtaining the most wide fractal scaleless range in the condition of passing linear testing.

The determination of fractal scaleless range is very important for computing the fractal characteristic parameters and modeling the digital elevation.

When the new algorithm is used, the determination of the no-scale interval is simplified and the judgement for the saturation of the correlation dimension is realized objectively.

The determination of the no-scale interval is simplified when the new algorithm is used.

Considering this fractal character of map objects, this paper proposes a new method for determining the fractal non-scale interval of a map object.

Based on the study of the correlation integral algorithm and the distribution rule of the correlation integral double logarithmic point series in correlation dimension calculation for vibration signal,a fractal scaleless band automatic identification method was proposed.

Through the research on timberland area,the plot shows that 26 of 31 units were located in the scaleless band and the Zipf dimension could be known by the fitting equation.