Digitized tongue pictures' Fractal

Fractal spectrums ƒ(α)-α of randomized fractal pictures were obtained, in which 8 parameters were used as characteristic quantities. αmin: The minimum value of singular exponent α; αmax: The maximum value of singular exponent α; ƒmin: Value of multiple fractal spectrum ƒ(α) corresponding to αmin; ƒmax Value of multiple fractal spectrum ƒ(α) corresponding to αmax; Spectral width: Value of αmax-αmin;； Spectral difference: Value of ƒmax-ƒmin;αd: Value of singular exponent α that resulted in maximum value of ƒ(α); B: One of the parameter in quadratic fit curve of ƒ(α), also termed as asymmetry degree.

本研究获取了随机分形图像的分形谱ƒ(α)-α，共采用8个参数作为特征量，各参数定义如下：
1. αmin：奇异指数（singular exponent）α的最小值；
2. αmax：奇异指数（singular exponent）α的最大值；
3. ƒmin：与αmin对应的多重分形谱（multiple fractal spectrum）ƒ(α)的取值；
4. ƒmax：与αmax对应的多重分形谱ƒ(α)的取值；
5. 谱宽：αmax与αmin的差值（即αmax-αmin）；
6. 谱差：ƒmax与ƒmin的差值（即ƒmax-ƒmin）；
7. αd：使多重分形谱ƒ(α)取得最大值时对应的奇异指数α的取值；
8. B：ƒ(α)二次拟合曲线的参数之一，又被称为非对称度。