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Everything about Graph Fourier transform
Mathematical transform
In mathematics, the graph Fourier transform is a mathematical transform which eigendecomposes the Laplacian matrix of a graph into eigenvalues and eigenvectors. Analogously to the classical Fourier transform, the eigenvalues represent frequencies and eigenvectors form what is known as a graph Fourier basis. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Graph Fourier transformA 5-minute orientation
- Skim a recent paper: Generalized sampling of graph signals with the prior information based on graph fractional Fourier transformInfluential work since 2022
- Pick up a classic book: Probability on algebraic and geometric structuresThe most-reprinted book on the subject
- Read the landmark paper: Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometryCited 3,782 times
- Go sideways: Shrinkage Fields (image restoration)A closely related topic
- Go sideways: Functional principal component analysisA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry
Multiresolution Graph Fourier Transform for Compression of Piecewise Smooth Images
On the Graph Fourier Transform for Directed Graphs
Fourier could be a data scientist: From graph Fourier transform to signal processing on graphs
Intra-Prediction and Generalized Graph Fourier Transform for Image Coding
Fault diagnosis of rolling bearings using weighted horizontal visibility graph and graph Fourier transform
A Directed Graph Fourier Transform With Spread Frequency Components
Graph Fourier Transform: A Stable Approximation
🆕 Influential since 2022
Generalized sampling of graph signals with the prior information based on graph fractional Fourier transform
Graph Fourier transform for spatial omics representation and analyses of complex organs
Utilizing graph Fourier transform for automatic Alzheimer’s disease detection from EEG signals
Graph Fractional Fourier Transform: A Unified Theory
Generic Reversible Visible Watermarking via Regularized Graph Fourier Transform Coding
📚 Books worth reading
- 📕Probability on algebraic and geometric structuresPhilip J. Feinsilver, Gregory Budzban · 2016
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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