Experimental Study of Multi-fractal Geometry on Electronic Medical Images Using Differential Box Counting

摘要

This paper focuses on the effect of fractal dimension and lacunarity to measure the roughness of digital medical images that has been contaminated with varying intensities of Gaussian noise as additive noise, Periodic noise as multiplicative noise, and Poisson noise as distributive noise. The experimental study shows that the fractal dimension successfully reveals the roughness of an image, while lacunarity reveals homogeneity or heterogeneity of the image and differential box counting method provides both the fractal dimension and lacunarity values which helps in diagnosis of diseases.