A recursive dimensional formula for bi-degree (d,d) highest-smoothness splines on hierarchical T-meshes is derived via conformality vector spaces, with a mesh modification strategy for stability and equivalence to lower-degree spaces on CVR graphs.
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Dimension of Bi-degree $(d,d)$ Spline Spaces with the Highest Order of Smoothness over Hierarchical T-Meshes
A recursive dimensional formula for bi-degree (d,d) highest-smoothness splines on hierarchical T-meshes is derived via conformality vector spaces, with a mesh modification strategy for stability and equivalence to lower-degree spaces on CVR graphs.