Inversion Formula for Shearlet Transform in Arbitrary Space Dimensions

DOI10.1080/01630563.2016.1212208zbMath1368.42033OpenAlexW2485998069MaRDI QIDQ2964198

Shenming Jiang, Zetao Jiang

Publication date: 23 February 2017

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2016.1212208

zbMATH Keywords

inversion formulashearlet groupshearlet transform

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)

Related Items (2)

Uncertainty principles for the continuous shearlet transforms in arbitrary space dimensions ⋮ A convolution-based shearlet transform in free metaplectic domains

Cites Work

• Convergence of wavelet frame operators as the sampling density tends to infinity
• Characterization of piecewise-smooth surfaces using the 3D continuous shearlet transform
• Irregular shearlet frames: Geometry and approximation properties
• Shearlets. Multiscale analysis for multivariate data.
• Shearlet coorbit spaces: Compactly supported analyzing shearlets, traces and embeddings
• Inversion of the wavelet transform using Riemannian sums
• Shearlet coorbit spaces and associated Banach frames
• The continuous shearlet transform in arbitrary space dimensions
• Asymptotic properties of Gabor frame operators as sampling density tends to infinity
• Inversion formula for the windowed Fourier transform. II
• Affine density in wavelet analysis
• Inversion formula for the windowed Fourier transform
• Introduction to Shearlets
• Characterization and Analysis of Edges Using the Continuous Shearlet Transform
• Resolution of the wavefront set using continuous shearlets

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