Beihui Yuan

Jul 4, 2024 | arxiv.org | Ting Lin |Qingyu Wu |Beihui Yuan

Jun 29, 2023 | arxiv.org | Beihui Yuan

We derive an explicit formula, valid for all integers $r,d\ge 0$, for the dimension of the vector space $C^r_d(Δ)$ of piecewise polynomial functions continuously differentiable to order $r$ and whose constituents have degree at most $d$, where $Δ$ is a planar triangulation that has a single totally interior edge.