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math.NA2026

Sampling Kantorovich operators for speckle noise reduction and gap filling with some applications to remote sensing

Danilo Costarelli, Mariarosaria Natale

In this paper, we investigate the application of multivariate sampling Kantorovich (SK) operators for image reconstruction, with a particular focus on gap filling and speckle noise…

math.NA2026

Semi-discrete moduli of smoothness and their applications in one- and two- sided error estimates

Danilo Costarelli, Donato Lavella

In this paper, we introduce a new semi-discrete modulus of smoothness, which generalizes the definition given by Kolomoitsev and Lomako (KL) in 2023 (in the paper published in the…

math.NA2025

Implementation of neural network operators with applications to remote sensing data

Danilo Costarelli, Michele Piconi

In this paper, we provide two algorithms based on the theory of multidimensional neural network (NN) operators activated by hyperbolic tangent sigmoidal functions. Theoretical resu…

math.NA2025

Image resizing by neural network operators and their convergence rate with respect to the -norm and the dissimilarity index defined through the continuous SSIM

Danilo Costarelli, Mariarosaria Natale, Michele Piconi

In literature, several algorithms for imaging based on interpolation or approximation methods are available. The implementation of theoretical processes highlighted the necessity o…

math.NA2024

Microwave Remote Sensing of Soil Moisture, Above Ground Biomass and Freeze-Thaw Dynamic: Modeling and Empirical Approaches

Laura Angeloni, Domenico Daniele Bloisi, Paolo Burghignoli +6

Human actions have accelerated changes in global temperature, precipitation patterns, and other critical Earth systems. Key markers of these changes can be linked to the dynamic of…