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math.NA2025
Multiresolution local smoothness detection in non-uniformly sampled multivariate signals
Sara Avesani, Gianluca Giacchi, Michael Multerer
Inspired by edge detection based on the decay behavior of wavelet coefficients, we introduce a (near) linear-time algorithm for detecting the local regularity in non-uniformly samp…
math.NA2025
Samplets: Wavelet concepts for scattered data
Helmut Harbrecht, Michael Multerer
This chapter is dedicated to recent developments in the field of wavelet analysis for scattered data. We introduce the concept of samplets, which are signed measures of wavelet typ…
math.NA2025
Multiscale scattered data analysis in samplet coordinates
Sara Avesani, Rüdiger Kempf, Michael Multerer +1
We study multiscale scattered data interpolation schemes for globally supported radial basis functions with focus on the Matérn class. The multiscale approximation is constructed…