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gasper (version 1.1.3)

inverse_sgwt: Compute Inverse Spectral Graph Wavelet Transform.

Description

Compute inverse (adjoint) SGWT for signal f (without frame calculation). The calculation is perform for the frame defined by the `tight_frame` function. The tightness of the underlying frame implies that the computation is obtained by simply applying the adjoint linear transformation to the wavelet coefficients.

Usage

inverse_sgwt(wc, evalues, evectors, b = 2)

Value

f SGWT adjoint applied to wc.

Arguments

wc

Wavelet coefficients.

evalues

Eigenvalues of the Laplacian matrix.

evectors

Eigenvectors of the Laplacian matrix.

b

Parameter that control the number of scales.

References

Göbel, F., Blanchard, G., von Luxburg, U. (2018). Construction of tight frames on graphs and application to denoising. In Handbook of Big Data Analytics (pp. 503-522). Springer, Cham.

de Loynes, B., Navarro, F., Olivier, B. (2021). Data-driven thresholding in denoising with Spectral Graph Wavelet Transform. Journal of Computational and Applied Mathematics, Vol. 389.

Hammond, D. K., Vandergheynst, P., & Gribonval, R. (2011). Wavelets on graphs via spectral graph theory. Applied and Computational Harmonic Analysis, 30(2), 129-150.

See Also

forward_sgwt, tight_frame