Digital Affine Shear Transforms: Fast Realization and Applications in Image/Video Processing

DOI10.1137/15M1048318zbMath1387.94025MaRDI QIDQ3179611

Xiao-Sheng Zhuang

Publication date: 19 December 2016

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

zbMATH Keywords

image processingdenoisingvideo processinginpaintingdirectional filter banksdigital affine shear transformssmooth affine shear tight framessmooth affine wavelet tight frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Analysis of algorithms (68W40) Computing methodologies for image processing (68U10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Hardware implementations of nonnumerical algorithms (VLSI algorithms, etc.) (68W35) Rate of convergence, degree of approximation (41A25) Fourier series and coefficients in several variables (42B05)

Related Items (9)

Adaptive directional Haar tight framelets on bounded domains for digraph signal representations ⋮ Directional wavelet packets originating from polynomial splines ⋮ Analytic and directional wavelet packets in the space of periodic signals ⋮ Directional Compactly Supported Tensor Product Complex Tight Framelets with Applications to Image Denoising and Inpainting ⋮ Spherical Framelets from Spherical Designs ⋮ Mathematical Morphology on the Triangular Grid: The Strict Approach ⋮ Unnamed Item ⋮ Tight framelets and fast framelet filter bank transforms on manifolds ⋮ An hybrid denoising algorithm based on directional wavelet packets

Uses Software

• ShearLab
• NSCT toolbox

Cites Work

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• Gabor shearlets
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• Ten Lectures on Wavelets
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• Wavelets with composite dilations
• ShearLab: A Rational Design of a Digital Parabolic Scaling Algorithm
• Properties of Discrete Framelet Transforms
• The Construction of Smooth Parseval Frames of Shearlets
• 3-D Discrete Shearlet Transform and Video Processing
• Nonseparable Shearlet Transform
• Optimally Sparse Multidimensional Representation Using Shearlets
• Fast Discrete Curvelet Transforms
• Sparse components of images and optimal atomic decompositions

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