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Constructing $C^1$ limit surfaces from unstructured splines via averaging and refinement
arXiv:2606.07149v1 Announce Type: new Abstract: In this paper we present a construction for unstructured splines over quadrilateral meshes by iterative averaging and refinement. We represent the spline as a multi-patch B-spline, where the degrees of freedom are those B-spline coefficients on the quadrilateral patches that are not associated with interior edges and vertices of the mesh, i.e., their corresponding Greville points lie inside the patches. In every averaging step, we replace the...