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Applications of Fractional Calculus to Steganography

Supervisors

Suitable for

MSc in Advanced Computer Science

Abstract

Steganography is the practice of representing information within another message or physical object, in such a manner that the presence of the information is not evident to human inspection. When applied to image files [1], a particularly powerful approach is to encode the hidden data along the edges of the objects within the image. The fractional Laplacian, as an extension of second-order derivatives from integer to real orders, is known to yield wider but sharper gradients than its standard counterpart, and therefore holds potential to outperform standard steganography techniques for hiding information along image edges.

To investigate the performance of steganography techniques based on the fractional Laplacian for information hiding in digital images.

(1) Image Steganography: A review of the Recent Advances https://doi.org/10.1109/ACCESS.2021.3053998 (2) Fourier spectral methods for fractional-in-space reaction- diffusion equations. https://doi.org/10.1007/s10543-014-0484-2 (3) USAD: undetectable stefanographic approach in DCT domain. https://doi.org/10.1080/13682199.2019.1620525