A novel optimal box counting fractal dimension algorithm
一种用于MEMS动态测量的最优盒计数分形维数算法

In MEMS dynamic measurement, fractal interpolation method can improve the accuracy of measurement for MEMS devices in plane displacement. Also by using the fractal characteristics of the image edge, the surface displacement and the rotating angle can be measured. So, calculating the fractal dimension accurately is very important in these methods. In this paper, the difference box counting method which is the most favorite fractal dimension estimation method is researched and a novel optimal box counting fractal dimension algorithm is presented to overcome the problem of difference box counting to reduce the effect of the empty boxes. Both theoretical analysis and experimental results show that the fractal dimension obtained by this algorithm is closer to the theoretical dimension.