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Shearlet

In applied mathematical analysis, shearlets are a multiscale framework which allows efficient encoding of anisotropic features in multivariate problem classes. Originally, shearlets were introduced in 2006 for the analysis and sparse approximation of functions f ∈ L 2 ( R 2 ) {\displaystyle f\in L^{2}(\mathbb {R} ^{2})} . They are a natural extension of…

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Definition

Examples

Cone-adapted shearlets

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Shearlet

Nodes44
Edges43
Triples19
Avg. degree1.95
Density0.045455
Components1

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Shearlet

Top relations

related to Cone-adapted shearlets · 7
Shearlet → Examples, Figure, Fourier, One, Section, This, To
related to Discrete shearlet systems · 3
Shearlet → From, SH, There
related to Generalizations and extensions · 2
Shearlet → Shearlets, ShearletsParabolic
related to Continuous shearlet systems · 1
Shearlet → The

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Important terminology

displaystyle shearlets mathbb functions anisotropic psi supported features approximation systems one system wavelets scaling frame compactly operatorname function parabolic sparse

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
edges in imagesinstance ofto accommodate the fact that multivariate functions are typically governed by anisotropic features0.80text
since waveletsinstance ofto accommodate the fact that multivariate functions are typically governed by anisotropic features0.80text
as isotropic objectsinstance ofto accommodate the fact that multivariate functions are typically governed by anisotropic features0.80text
are not capable of capturing such phenomena.Shearlets are constructed by parabolic scalinginstance ofto accommodate the fact that multivariate functions are typically governed by anisotropic features0.80text
shearinginstance ofto accommodate the fact that multivariate functions are typically governed by anisotropic features0.80text
and translation applied to a few generating functionsinstance ofto accommodate the fact that multivariate functions are typically governed by anisotropic features0.80text
Shearletrelated to Cone-adapted shearletsOne0.60section
Shearletrelated to Cone-adapted shearletsThis0.60section
Shearletrelated to Cone-adapted shearletsFigure0.60section
Shearletrelated to Cone-adapted shearletsSection0.60section
Shearletrelated to Cone-adapted shearletsExamples0.60section
Shearletrelated to Cone-adapted shearletsFourier0.60section

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