Left Inverses for B-spline Subdivision Matrices in Tensor-Product Spaces
Numerical Analysis
2025-11-06 v1 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2511.03658,
title = {Left Inverses for B-spline Subdivision Matrices in Tensor-Product Spaces},
author = {Marcelo Actis and Silvano Figueroa and Eduardo M. Garau},
journal= {arXiv preprint arXiv:2511.03658},
year = {2025}
}