Left Inverses for B-spline Subdivision Matrices in Tensor-Product Spaces
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arXiv
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| Format: | Preprint |
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2025
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| author | Actis, Marcelo Figueroa, Silvano Garau, Eduardo M. |
| author_facet | Actis, Marcelo Figueroa, Silvano Garau, Eduardo M. |
| contents | In this article, we study dyadic coarsening operators in univariate spline spaces and in tensor-product spline spaces over uniform grids. Our construction is strongly motivated by the work of Bartels, Golub, and Samavati (2006), Some observations on local least squares, BIT, 46(3):455--477. The proposed operators are local in nature and yield approximations to a given spline that are comparable to the global L2-best approximation, while being significantly faster to compute and computationally inexpensive. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03658 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Left Inverses for B-spline Subdivision Matrices in Tensor-Product Spaces Actis, Marcelo Figueroa, Silvano Garau, Eduardo M. Numerical Analysis In this article, we study dyadic coarsening operators in univariate spline spaces and in tensor-product spline spaces over uniform grids. Our construction is strongly motivated by the work of Bartels, Golub, and Samavati (2006), Some observations on local least squares, BIT, 46(3):455--477. The proposed operators are local in nature and yield approximations to a given spline that are comparable to the global L2-best approximation, while being significantly faster to compute and computationally inexpensive. |
| title | Left Inverses for B-spline Subdivision Matrices in Tensor-Product Spaces |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2511.03658 |