5 papers
Data-dependent Compact Multinode Shepard Method
Francesco Dell'Accio, Filomena Di Tommaso, Francesco Larosa +2
We introduce a data-dependent compact multinode Shepard method for the approximation of scattered multivariate data. The proposed approach extends the compact multinode Shepard ope…
Scattered data interpolation on the torus by compactly supported multinode Shepard operators
F. Dell'Accio, F. Di Tommaso, R. Lammirato +1
We introduce a compactly supported multinode Shepard operator for the interpolation of scattered data on the torus embedded in . The method combines local polynomial…
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.…
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…
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…