Paper
27 May 2022 Alpha-rooting and correlation method of image enhancement
Author Affiliations +
Abstract
This paper analyzes the known method of the Fourier transforms-based alpha-rooting in image enhancement and describes a new method of alpha-rooting, by using the autocorrelation function of the image. The alpha-rooting in the frequency-domain can be described by the Taylor series, as well as in the spatial domain, by using the inverse 2-D DFT. In such a series, the alpha-rooting is the convolution of the image with the series of the autocorrelation functions. The application of the Taylor series in alpha-rooting allows to use the parameterized filters even for parameter alpha in a much larger interval than [0,1]. Examples of application of these two filters for enhancement of the grayscale images are given.
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Artyom M. Grigoryan and Sos S. Agaian "Alpha-rooting and correlation method of image enhancement", Proc. SPIE 12100, Multimodal Image Exploitation and Learning 2022, 121000E (27 May 2022); https://doi.org/10.1117/12.2617434
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KEYWORDS
Image enhancement

Neodymium

Image filtering

Image processing

Convolution

Fourier transforms

Transform theory

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