Note on the Construction of Shearlets
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Graphical Abstract
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Abstract
The construction of shearlets usually depends on two smooth functions ψ1 and ψ2.ψ1 and ψ2 are both associated with θ(x) that is certain infinitely differentiable function on real line R.In 2008,Easley gave an example of shearlets,where the strcture of ψ1 is simple and the construction process of ψ2 is relatively complicated.This paper provides another construction of ψ2,which simplifies Easley's work.Then,a family of θ(x) is obtained in explicit expressions.Finally,some examples are presented.
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