Subdivision Schemes
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Related Articles from SNS
Subdivision Schemes in Metric Spaces
arXiv:2509.08070v2 Announce Type: replace Abstract: We develop a unified framework for nonlinear subdivision schemes on complete metric spaces (CMS). We begin with CMS preliminaries and formalize refinement in CMS, retaining key structural properties, such as locality. We prove a convergence theorem under contractivity and demonstrate its applicability.
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...
Abandoned airport moves one step closer to becoming new £22billion city
Abandoned airport moves one step closer to becoming new £22billion city The former Downsview Airport site in Toronto was shuttered in 2024, but its 370 acres are set for a $30bn (£22bn) transformation into a new city for roughly 50,000 people An abandoned airport is edging closer to being transformed into a £22bn city for approximately 50,000 people. Downsview Airport in Toronto, Canada, shut its doors in 2024, and the 370-acre plot has been designated for a $30bn redevelopment (roughly...