Human brain is separated into two hemispheres by the mid-sagittal plane (MSP) as bilateral symmetry. Extraction of this symmetry plane from magnetic resonance images is one of the precise processes for diagnosis. The foremost challenge of this work is to analyse the degree of asymmetry between hemispheres. Most of the existing work has analysed primarily on the image intensity to estimate the asymmetry between hemispheres. The present study explores the possibility of the generalised fractal dimensions to measure the asymmetry between hemispheres, in addition multifractal spectra applies to refine the optimal region of interest which characterises the complexity and homogeneity of an object. In order to validate the efficiency of the proposed technique, experimental results are compared with three state-of-the-art methods by the performance evaluation metrics such as yaw angle error and roll angle error. Besides, angular deviation and average deviation of distance between ground truth line and extracted MSP by the developed method is compared. © The Institution of Engineering and Technology 2016.