Multi-resolution image analysis using the quaternion wavelet transform

DOI10.1007/s11075-004-3619-8zbMath1068.65151OpenAlexW2040321535MaRDI QIDQ1776165

Eduardo Bayro-Corrochano

Publication date: 20 May 2005

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-004-3619-8

zbMATH Keywords

numerical examplesimage processingmulti-resolution analysiswavelet filtersoptical flowdisparity estimationquaternion waveletsquaternion phase conceptquaternion wavelet pyramidreal and complex waveletswavelet pyramid

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for discrete and fast Fourier transforms (65T50)

Related Items (9)

The quaternion domain Fourier transform and its properties ⋮ Quaternion-valued smooth compactly supported orthogonal wavelets with symmetry ⋮ A geometric algebra model for the image formation process of paracatadioptric cameras ⋮ Quaternion hyperbolic Fourier transforms and uncertainty principles ⋮ Visual servoing on the sphere using conformal geometric algebra ⋮ Quaternion wavelet analysis and application in image denoising ⋮ Local quaternion Fourier transform and color image texture analysis ⋮ Connecting spatial and frequency domains for the quaternion Fourier transform ⋮ An algorithm for quaternion-based 3D rotation

Uses Software

• DT-CWT

Cites Work

• A theory for multiresolution signal decomposition: the wavelet representation
• Image processing with complex wavelets
• Wavelet Transforms in Image Processing
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