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Image enhancement by linear regression algorithm and sub-histogram equalization

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Abstract

The present paper focuses on the contrast enhancement of an image using linear regression-based recursive sub-histogram equalization. The histogram of an image is partitioned into two non-overlap** sub-histograms using the mean intensity of the image. A set of points is constructed for each sub-histogram, considering gray level (intensity) as the abscissa and its corresponding count as the ordinate of the point. Then the method of least squares is used for fitting lines of regression for these sets of points in each sub-histogram. With the help of the regression line and histogram, intervals are created in each segmented partition. This process of creating intervals gives more intervals as compared to the Recursive Sub-Image Histogram Equalization (RSIHE) and the Mean and Variance-based Sub Image Histogram Equalization methods (MVSIHE). For qualitative and quantitative analysis of the proposed method, the experiments are performed on a set of test images, including medical and non-medical images. The evaluated results are presented in terms of various evaluation metrics. For medical images, the mean opinion score is also evaluated with the proposed method and other recent methods. The comparison with state-of-the-art methods shows the efficacy of the proposed method for enhancement.

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Acknowledgements

The authors would like to thank the anonymous referees for their valuable comments that have greatly improved the quality of this manuscript. We are also thankful to Vrinda Diagnostic Centre, Ghaziabad, India for providing the image dataset.

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Authors and Affiliations

  1. ITS Engineering College, Knowledge Park-III, Greater Noida, 201308, India

    Suneeta Chaudhary

  2. Department of Mathematics, Jaypee Institute of Information Technology, Noida, 201309, India

    Anuj Bhardwaj

  3. School of Mathematical Sciences, College of Science and Technology, Wenzhou-Kean University, Wenzhou, 325060, China

    Puneet Rana

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  1. Suneeta Chaudhary
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  2. Anuj Bhardwaj
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  3. Puneet Rana
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Correspondence to Puneet Rana.

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Chaudhary, S., Bhardwaj, A. & Rana, P. Image enhancement by linear regression algorithm and sub-histogram equalization. Multimed Tools Appl 81, 29919–29938 (2022). https://doi.org/10.1007/s11042-022-12830-2

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