Definability and stability of multiscale decompositions for manifold-valued data

Details Definability and stability of multiscale decompositions for manifold-valued data Definability and stability of multiscale decompositions for manifold-valued data

2010-01-10

arxiv.org/abs/1001.1517v1

Mathematics

Differential Geometry

Scientific paper

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.

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