Learn R Programming

gasper (version 1.1.3)

zetav: Evaluates tight-frame kernel functions

Description

Evaluates kernel associated with the particular (Littlewood-Paley type) tight-frame construction, based on a unity partition, proposed in the reference papers.

Usage

zetav(x, k, b)

Arguments

x

Support to evaluate the kernel (vector).

k

Scale index (scalar).

b

Parameter that control the number of scales (scalar).

References

Coulhon, T., Kerkyacharian, G., & Petrushev, P. (2012). Heat kernel generated frames in the setting of Dirichlet spaces. Journal of Fourier Analysis and Applications, 18(5), 995-1066.

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.