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Everything about Multiresolution analysis
Design method of discrete wavelet transforms
A multiresolution analysis (MRA) or multiscale approximation (MSA) is the design method of most of the practically relevant discrete wavelet transforms (DWT) and the justification for the algorithm of the fast wavelet transform (FWT). It was introduced in this context in 1988/89 by Stephane Mallat and Yves Meyer and has predecessors in the microlocal analysis in the theory of differential equations and the pyramid methods of image processing as introduced in 1981/83 by Peter J. Burt, Edward H. Adelson and James L. Crowley. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Multiresolution analysisA 5-minute orientation
- Skim a recent paper: DC microgrid fault detection using multiresolution analysis of traveling wavesInfluential work since 2022
- Pick up a classic book: Multiscale potential theoryThe most-reprinted book on the subject
- Read the landmark paper: Multiresolution spectrotemporal analysis of complex soundsCited 596 times
- Go sideways: Fast wavelet transformA closely related topic
- Go sideways: Dual waveletA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Multiresolution spectrotemporal analysis of complex sounds
Multiresolution wavelet analysis of earthquakes
Multiresolution wavelet analysis of evoked potentials
Multiresolution topology optimization using isogeometric analysis
Multiresolution analysis for material design
Multiresolution analysis on local fields
Multiresolution mammogram analysis in multilevel decomposition
Nonstationary Subdivision Schemes and Multiresolution Analysis
🆕 Influential since 2022
DC microgrid fault detection using multiresolution analysis of traveling waves
Vibration Signal Processing for Multirotor UAVs Fault Diagnosis: Filtering or Multiresolution Analysis?
Multiresolution Analysis Based on Dual-Scale Regression for Pansharpening
Motion Artifacts Correction From EEG and fNIRS Signals Using Novel Multiresolution Analysis
Contactless Palmprint Recognition Using Binarized Statistical Image Features-Based Multiresolution Analysis
📚 Books worth reading
Multiscale potential theoryW Freeden, Willi Freeden · 2004
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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