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• W3102084562 abstract "Tight framelets on a smooth and compact Riemannian manifold M provide a tool of multiresolution analysis for data from geosciences, astrophysics, medical sciences, etc. This work investigates the construction, characterizations, and applications of tight framelets on such a manifold M. Characterizations of the tightness of a sequence of framelet systems for L2(M) in both the continuous and semi-discrete settings are provided. Tight framelets associated with framelet filter banks on M can then be easily designed and fast framelet filter bank transforms on M are shown to be realizable with nearly linear computational complexity. Explicit construction of tight framelets on the sphere S2 as well as numerical examples are given." @default.
• W3102084562 created "2020-11-23" @default.
• W3102084562 creator A5070236689 @default.
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• W3102084562 date "2020-01-01" @default.
• W3102084562 modified "2023-09-27" @default.
• W3102084562 title "Tight framelets and fast framelet filter bank transforms on manifolds" @default.
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• W3102084562 doi "https://doi.org/10.1016/j.acha.2018.02.001" @default.
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