Published Paper

Inserted: 15 apr 2023
Last Updated: 15 apr 2023

Journal: Advances in Continuous and Discrete Models
Volume: 14 (2023)
Pages: 1-17
Year: 2023
Doi: https://doi.org/10.1186/s13662-023-03762-8

Abstract:

We introduce and study a variational model for signal and image analysis based on Riemann–Liouville fractional derivatives. Both the one-dimensional and two-dimensional cases are studied. The model exploits a quadratic fitting data term together with both right and left Riemann–Liouville fractional derivatives as regularizing terms, with the aim of achieving an orientation-independent analysis.

Keywords: Fractional derivatives; , Bounded variation functions; , Calculus of variations; , Abel equation; , Signal analysis; , Image analysis;