Definability and stability of multiscale decompositions for manifold-valued data
Differential Geometry
2010-01-12 v1 Functional Analysis
Abstract
We discuss multiscale representations of discrete manifold-valued data. As it turns out that we cannot expect general manifold-analogues of biorthogonal wavelets to possess perfect reconstruction, we focus our attention on those constructions which are based on upscaling operators which are either interpolating or midpoint-interpolating. For definable multiscale decompositions we obtain a stability result.
Keywords
Cite
@article{arxiv.1001.1517,
title = {Definability and stability of multiscale decompositions for manifold-valued data},
author = {Philipp Grohs and Johannes Wallner},
journal= {arXiv preprint arXiv:1001.1517},
year = {2010}
}