I have read number of books and online literature on Bessel function. Theoretically, I have known about Bessel function. What is practical significance of Bessel function? How can Bessel function practically interpreted?
2026-03-28 08:17:10.1774685830
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Application of Bessel Function
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$J_1$ is the Bessel function of the first order and it is used for example to model the blur in an image due to an out of focus lens, this modeling is important to restore, or deblur, an out of focus image.
See Image restoration with known degradation by Václav Hlaváč or BIEMOND, Jan; LAGENDIJK, Reginald L.; MERSEREAU, Russell M. Iterative methods for image deblurring. Proceedings of the IEEE, 1990, 78.5: 856-883.
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For just one example in probability: consider a football match (soccer for North Americans). A fairly reasonable model is that each team, independently, scores goals according to a Poisson process. The expression for the probability that the score is tied after 90 minutes of play involves the modified Bessel function $I_0$.