2025/11/05 by Actis, Marcelo, Figueroa, Silvano, Garau, Eduardo M.
#FOS: Mathematics #Numerical Analysis (math.NA)
paper · doi:10.48550/arxiv.2511.03658
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.