Multinode Shepard Functions and Tensor Product Polynomial Interpolation: Applications to Digital Elevation Models
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909732019634176 |
|---|---|
| author | Barrera, Domingo Dell'Accio, Francesco Di Tommaso, Filomena Eddargani, Salah Ibáñez, María José Larosa, Francesco Nudo, Federico Reinoso, Juan F. |
| author_facet | Barrera, Domingo Dell'Accio, Francesco Di Tommaso, Filomena Eddargani, Salah Ibáñez, María José Larosa, Francesco Nudo, Federico Reinoso, Juan F. |
| contents | 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. Additionally, we study the approximation order associated to this interpolant and present a detailed algorithm for reconstructing surfaces. Numerical tests showcase the effectiveness of the proposed algorithm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07764 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multinode Shepard Functions and Tensor Product Polynomial Interpolation: Applications to Digital Elevation Models Barrera, Domingo Dell'Accio, Francesco Di Tommaso, Filomena Eddargani, Salah Ibáñez, María José Larosa, Francesco Nudo, Federico Reinoso, Juan F. Numerical Analysis 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. Additionally, we study the approximation order associated to this interpolant and present a detailed algorithm for reconstructing surfaces. Numerical tests showcase the effectiveness of the proposed algorithm. |
| title | Multinode Shepard Functions and Tensor Product Polynomial Interpolation: Applications to Digital Elevation Models |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2508.07764 |