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Shearlets: from theory to deep learning (Q6606472)

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scientific article; zbMATH DE number 7914364

Language	Label	Description	Also known as
English	Shearlets: from theory to deep learning	scientific article; zbMATH DE number 7914364

Statements

scholarly article

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Shearlets: from theory to deep learning (English)

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publication date

16 September 2024

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zbMATH Keywords

deep neural networks

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frames

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shearlets

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sparse approximation

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wavelets

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MaRDI profile type

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Solving ill-posed inverse problems using iterative deep neural networks

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Shearlets as feature extractor for semantic edge detection: the model-based and data-driven realm

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Extraction of Digital Wavefront Sets Using Applied Harmonic Analysis and Deep Neural Networks

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Image analysis with two-dimensional continuous wavelet transform

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Smooth projections and the construction of smooth Parseval frames of shearlets

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Learning the invisible: a hybrid deep learning-shearlet framework for limited angle computed tomography

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New tight frames of curvelets and optimal representations of objects with piecewise <i>C</i><sup>2</sup> singularities

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Introduction to Finite Frame Theory

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An introduction to frames and Riesz bases

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THE UNCERTAINTY PRINCIPLE ASSOCIATED WITH THE CONTINUOUS SHEARLET TRANSFORM

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Shearlet coorbit spaces and associated Banach frames

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The continuous shearlet transform in arbitrary space dimensions

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Shearlet coorbit spaces: Compactly supported analyzing shearlets, traces and embeddings

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Shearlet coorbit spaces: traces and embeddings in higher dimensions

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Ten Lectures on Wavelets

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An iterative thresholding algorithm for linear inverse problems with a sparsity constraint

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Sparse components of images and optimal atomic decompositions

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Microlocal Analysis of the Geometric Separation Problem

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Image Processing Using Shearlets

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Sparse directional image representations using the discrete shearlet transform

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Asymptotic Analysis of Inpainting via Universal Shearlet Systems

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Continuous shearlet frames and resolution of the wavefront set

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Continuous shearlet tight frames

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Bandlimited shearlet-type frames with nice duals

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Parabolic molecules

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\(\alpha\)-Molecules

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Cartoon approximation with \(\alpha\)-curvelets

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Optimally Sparse Multidimensional Representation Using Shearlets

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The Construction of Smooth Parseval Frames of Shearlets

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Edge analysis and identification using the continuous shearlet transform

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Convex multiclass segmentation with shearlet regularization

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The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.

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Deep Convolutional Neural Network for Inverse Problems in Imaging

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Analysis of inpainting via clustered sparsity and microlocal analysis

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Irregular shearlet frames: Geometry and approximation properties

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Construction of compactly supported shearlet frames

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Clustered Sparsity and Separation of Cartoon and Texture

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Geometric separation by single-pass alternating thresholding

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Resolution of the wavefront set using continuous shearlets

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Introduction to Shearlets

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Compactly supported shearlets are optimally sparse

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Image Separation Using Wavelets and Shearlets

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Optimal Compressive Imaging of Fourier Data

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Classification of edges using compactly supported shearlets

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Optimally Sparse Approximations of 3D Functions by Compactly Supported Shearlet Frames

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Shearlet smoothness spaces

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Bendlets: a second-order shearlet transform with bent elements

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The Discrete Shearlet Transform: A New Directional Transform and Compactly Supported Shearlet Frames

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Nonseparable Shearlet Transform

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The mathematics of computerized tomography

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Singularities of the X-Ray Transform and Limited Data Tomography in $\mathbb{R}^2 $ and $\mathbb{R}^3 $

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Sparse Image and Signal Processing

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A Shearlet Approach to Edge Analysis and Detection

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-98661-2_80

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6606472

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