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cs.GR2019
Extending editing capabilities of subdivision schemes by refinement of point-normal pairs
Evgeny Lipovetsky, Nira Dyn
In this paper we extend the 2D circle average of [11] to a 3D binary average of point-normal pairs, and study its properties. We modify classical surface-generating linear subdivis…
math.NA2019
Analytic functions in shift-invariant spaces and analytic limits of level dependent subdivision
Maria Charina, Vladimir Yu. Protasov
The structure of exponential subspaces of finitely generated shift-invariant spaces is well understood and the role of such subspaces for the approximation power of refinable funct…
math.FA2019
Attractors of Trees of Maps and of Sequences of Maps between Spaces with Application to Subdivision
Nira Dyn, David Levin, Peter Massopust
In a previous paper we considered a sequence of maps on a complete metric space and derived an extension of the Banach fixed point theorem. We showed that backward trajecto…