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.
Symmetrized fractional total variation for signal and image analysis
Antonio Leaci
;Franco Tomarelli
2023-01-01
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.File in questo prodotto:
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