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Graph Fourier transform for spatial omics representation and analyses of complex organs. [PDF]

Nat Commun
Chang Y, Liu J, Jiang Y, Ma A, Yeo YY, Guo Q, McNutt M, Krull JE, Rodig SJ, Barouch DH, Nolan GP, Xu D, Jiang S, Li Z, Liu B, Ma Q.   +15 more
europepmc   +1 more source

Structure-Function Dynamics in Healthy Cognitive Aging: A Graph Signal Processing Approach

Guichet C, Achard S, Mermillod M, Baciu M.   +3 more
europepmc   +1 more source

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Using Discriminative Lasso to Detect a Graph Fourier Transform (GFT) Subspace for robust decoding in Motor Imagery BCI

2019 41st Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 2019
A novel decoding scheme for motor imagery (MI) brain computer interfaces (BCI's) is introduced based on the GFT concept. It considers the recorded EEG activity as a signal defined over (the graph of) the sensor array. A graph encapsulating the functional covariations emerging during the execution of a specific imagined movement is first defined, from a
Kostas Georgiadis, Nikos Laskaris, Spiros Nikolopoulos, Dimitrios A. Adamos, Ioannis Kompatsiaris   +4 more
openaire   +4 more sources

The relationship between graph Fourier transform (GFT) and discrete cosine transform (DCT) for 1D signal and 2D image

Signal, Image and Video Processing, 2022
Lu Yu 0008, Jun Xie, Xiang Zheng
openaire   +4 more sources

GASGM-GFT: Gaussian Attenuation Singing Graph Model and Graph Fourier Transform for Singing Voice Deepfake Detection

2025 International Joint Conference on Neural Networks (IJCNN)
Bingxiang Wu, Qing Qian, Longwen Ran, Huan Wang   +3 more
openaire   +4 more sources

Region Adaptive Graph Fourier Transform for 3D Point Clouds

, 2020
best paper awardInternational audienceWe introduce the Region Adaptive Graph Fourier Transform (RA-GFT) for compression of 3D point cloud attributes. We assume the points are organized by a family of nested partitions represented by a tree. The RA-GFT is
Antonio Ortega, Benjamin Girault, Eduardo Pavez   +2 more
exaly   +2 more sources

Multiresolution Graph Fourier Transform for Compression of Piecewise Smooth Images

IEEE Transactions on Image Processing, 2015
Piecewise smooth (PWS) images (e.g., depth maps or animation images) contain unique signal characteristics such as sharp object boundaries and slowly varying interior surfaces.
Antonio Ortega, OSCAR Au, Gene Cheung
exaly   +2 more sources

Irregularity-Aware Graph Fourier Transforms

IEEE Transactions on Signal Processing, 2018
International audienceIn this paper, we present a novel generalization of the graph Fourier transform (GFT). Our approach is based on separately considering the definitions of signal energy and signal variation, leading to several possible orthonormal ...
Antonio Ortega, Benjamin Girault, Shrikanth Narayanan   +2 more
exaly   +2 more sources

Graph Fractional Fourier Transform: A Unified Theory

IEEE Transactions on Signal Processing
The fractional Fourier transform (FRFT) parametrically generalizes the Fourier transform (FT) by a transform order, representing signals in intermediate time-frequency domains.
Aykut Koc, Tuna Alikasifoglu, Bunyamin Kartal   +2 more
exaly   +2 more sources

Graph Fourier transform based on singular value decomposition of the directed Laplacian

Sampling Theory, Signal Processing, and Data Analysis, 2023
Qiyu Sun, Sun Qiyu
exaly