2D and 3D Complexity Analysis on MRI Images using Fractal Dimension

Abstract

The brain, which is the most complex structure in the human body, has attracted attention of many researchers to study the possible fractal analysis application upon it. Current interest is seen directed more towards the utilization of complexity analysis as measured by fractal dimension in determining the pathologies effect and degenerative factor on the brain structure volume. In this paper, we used two boxcounting methods: average 2D Fractal Dimension and 3D Fractal Dimension. 47 subjects (19 males, 28 females), aged ranging from 21 to 25 years, were recruited. Brain MRI images were acquired by using 3T MRI system. The images were then thresholded according to Otsu’s method. The processed images were then calculated using fractal analysis, and the values obtained were statistically evaluated using Pearson’s correlation test (r2 = -0.106, p = 0.477). In conclusion, no correlation was seen between average 2D FD and 3D FD.