Image Reconstruction Using the sinc Kernel Function


  • Suren B. Alaverdyan Institute for Informatics and Automation Problems of NAS RA



Integral equation, Correct, Kernel function


This study is devoted to address the challenge of solving ill-posed integral equations for image restoration. The integral equation is widely recognized as an ill-posed problem [1]. Our study demonstrates that utilizing a two- dimensional function as a kernel function in the integral equation leads to stable solutions, by establishing a consistent dependence between the solutions and the input data (images).
We were able to obtain solutions for the integral equation without employing a regularization process, which significantly reduces the duration of the calculation process.


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How to Cite

Alaverdyan, S. B. (2023). Image Reconstruction Using the sinc Kernel Function. Mathematical Problems of Computer Science, 60, 9–16.