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Splines and wavelets on circulant graphs
2017
Applied and Computational Harmonic Analysis
We present novel families of wavelets and associated filterbanks for the analysis and representation of functions defined on circulant graphs. In this work, we leverage the inherent vanishing moment property of the circulant graph Laplacian operator, and by extension, the e-graph Laplacian, which is established as a parameterization of the former with respect to the degree per node, for the design of vertex-localized and critically-sampled higher-order graph (e-)spline wavelet filterbanks,
doi:10.1016/j.acha.2017.10.002
fatcat:c2lxgxxz4vdhld4ryxgr62sjcu