Application Of Mathematical Convolution Approach Of Image Sharpening  To Digital And Satellite Imaging

Authors

  • Charles Ekene Chika Department of Mathematics, Faculty of Physical Sciences, University of Nigeria, Nsukka  Author
  • Chukwuebuka Chukwudi Chidiebere Department of Mathematics, Faculty of Physical Sciences, University of Nigeria, Nsukka Author

DOI:

https://doi.org/10.60787/jnamp.v68no1.412

Keywords:

Mathematical convolution, Image sharpening, Laplacian, Digital imaging, Kernel

Abstract

This research paper explores the roles of convolution and Laplacian operators in image sharpening, with the primary objective of enhancing image clarity. The study delves into the mathematical foundations of these operators and their
application in digital image processing. Methods are compared to evaluate their effectiveness in terms of computational efficiency and visual outcomes. The paper identifies the gaps in existing literature, particularly the lack of comprehensive literature on the derivation of the Laplacian kernel and reasons for post-processing methods after its convolution with an image. The literature in this paper helps understand the foundation of Laplacian kernel, offering valuable insights on its derivation, and setting the basis for other techniques that have been built on it, with
applications in satellite imagery and digital photography. Also, comparison of Laplacian kernel with unsharp masking method is presented. 

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Author Biography

  • Charles Ekene Chika , Department of Mathematics, Faculty of Physical Sciences, University of Nigeria, Nsukka 

    *and 1Chukwuebuka Chukwudi Chidiebere 
    1,*Department of Mathematics, Faculty of Physical Sciences, University of Nigeria, Nsukka 

    Corresponding author: Charles Ekene Chika
    E-mail address: charles.chika@unn.edu.ng 

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Published

2024-10-23

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How to Cite

Application Of Mathematical Convolution Approach Of Image Sharpening  To Digital And Satellite Imaging. (2024). The Journals of the Nigerian Association of Mathematical Physics, 68, 7-22. https://doi.org/10.60787/jnamp.v68no1.412

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