Wavelet shrinkage on paths for scattered data denoising

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Wavelet shrinkage on paths for scattered data denoising Dennis Heinen and Gerlind Plonka Dedicated to Werner Haußmann in memoriam Abstract. We propose a new algorithm for denoising of multivariate function values given at scattered points in Rd. The method is based on the one-dimensional wavelet transform that is applied along suitably chosen path vectors at each transform level. The idea can be seen as a generalization of the relaxed easy path wavelet transform in [13] to the case of multivariate scattered data.

path con- struction
pass filters
spatial weight at a suitable distance
corresponding image values
path vector
wavelet transform
points
function
values

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