Efficient kernel induced fuzzy c-means based on Gaussian function for imagedata analyzing

Article type: Research Article

Authors: Senthil, S. | Chandrakumar, R. David^*

Affiliations: Department of Mathematics, Vickram College of Engineering, Enathi, Tamilnadu, India

Correspondence: [*] Corresponding author. R. David Chandrakumar, Department of Mathematics, Vickram College of Engineering, Enathi, Tamilnadu, India. Tel.: +91 936 299 4441; E-mail: [email protected].

Abstract: In this paper we introduce a new fuzzy c-means objective function called kernel induced fuzzy c-means based on Gaussian function for the purpose of segmentation of medical images. The originality of this algorithm is based on the fact that the conventional FCM-based algorithm considers no spatial content information, which makes it sensitive to noise. The new algorithm is formulated by incorporating the spatial neighbourhood information into the spatial neighbourhood into the original FCM algorithm by apriori probability and initialized by a kernel function induced histogram based FCM algorithm. The probability in the algorithm that indicates the spatial influence of the neighbouring pixels on the centre pixel plays a key role in this algorithm and it obtains efficient method for calculating membership and updating prototypes by minimizing the new objective function of Gaussian based fuzzy c-means. The performance of proposed algorithm has been tested with medical images to reduce the inhomogeneities and to allow the labelling of a pixel to be influenced by the labels in its immediate neighbourhood. Also this paper compares the results of proposed method with the results of existing basic fuzzy c-means.

Keywords: Fuzzy c-means, clustering, kernel function, Gaussian function, histogram, probability, segmentation

DOI: 10.3233/IFS-151820

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 983-990, 2016