3 papers
math.NA2025
Multinode Shepard Functions and Tensor Product Polynomial Interpolation: Applications to Digital Elevation Models
Domingo Barrera, Francesco Dell'Accio, Filomena Di Tommaso +5
The paper presents an in-depth exploration of the multinode Shepard interpolant on a regular rectangular grid, demonstrating its efficacy in reconstructing surfaces from DEM data.…
math.NA2025
A rational quasi-interpolation operator for functions with jumps without the Gibbs phenomenon
Francesco Dell'Accio, Francesco Larosa, Federico Nudo +1
The study of quasi-interpolation has gained significant importance in numerical analysis and approximation theory due to its versatile applications in scientific and engineering fi…
math.NA2025
rational approximation and quasi-histopolation of functions with jumps through multinode Shepard functions
Francesco Dell'Accio, Francesco Larosa, Federico Nudo +1
Histopolation, or interpolation on segments, is a mathematical technique used to approximate a function over a given interval by exploiting integral information over…