Statistical Characterisation of Speckle in Clinical Echocardiographic Images with Pearson Family of Distributions

Abhinav Gupta; Dr Karmeshu

doi:10.14429/dsj.61.1163

Abhinav Gupta Jaypee Institute of Information Technology, Noida
Dr Karmeshu Jawaharlal Nehru University, New Delhi

DOI: https://doi.org/10.14429/dsj.61.1163

Keywords: Speckle, echocardiography, Pearson distributions, tissue characterisation

Abstract

The statistical characterisation of gray level distribution of echocardiographic images is commonly done in terms of unimodal probability densities such as Rayleigh, Gamma, Weibull, Nakagami, and Lognormal. Amongst these distributions, the Gamma density is found to provide better empirical model that fits to real data sets. We propose to extend the class of probability distributions by exploring Pearson family to characterise blood and tissue in echocardiographic images. It is found that Pearson Type I characterises the tissue regions whereas Type I, Type IV and Type VI classify blood regions. The statistical measures viz. Jensen-Shannon (JS) divergence and Kolmogorov-Smirnov (KS) statistics reveal that Pearson family of curves outperforms the Gamma distribution.

Defence Science Journal, 2011, 61(5), pp.473-478, DOI:http://dx.doi.org/10.14429/dsj.62.1163

Author Biographies

Abhinav Gupta, Jaypee Institute of Information Technology, Noida

Mr Abhinav Gupta received BTech (Electrical Engg.) from I.E.T., M.J.P. Rohilkhand University, Bareilly and MTech (Signal Processing) from I.I.T. Guwahati. He is pursuing his PhD at the School of Computer and Systems Sciences, Jawaharlal Nehru University, New Delhi. Presently working as a Senior Lecturer in Department Electronics and Communication Engineering, Jaypee Institute of Information Technology, Noida.

Dr Karmeshu, Jawaharlal Nehru University, New Delhi

Dr Karmeshu has been working as Professor in School of Computer and System Sciences, Jawaharlal Nehru University, New Delhi, India, since 1986. In 1993, he received the Shanti Swarup Bhatnagar Award, India’s most prestigious award in the field of science and engineering, for his contributions to mathematical modeling of social and technical systems. He has published about 100 papers in journals. His current research interests includes: Wireless systems, bio-informatics/computational neuroscience and medical imaging.