Definability and stability of multiscale decompositions for manifold-valued data

Handle URI:
http://hdl.handle.net/10754/597923
Title:
Definability and stability of multiscale decompositions for manifold-valued data
Authors:
Grohs, Philipp; Wallner, Johannes
Abstract:
We discuss multiscale representations of discrete manifold-valued data. As it turns out that we cannot expect general manifold analogs 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. © 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
Citation:
Grohs P, Wallner J (2012) Definability and stability of multiscale decompositions for manifold-valued data. Journal of the Franklin Institute 349: 1648–1664. Available: http://dx.doi.org/10.1016/j.jfranklin.2011.02.010.
Publisher:
Elsevier BV
Journal:
Journal of the Franklin Institute
Issue Date:
Jun-2012
DOI:
10.1016/j.jfranklin.2011.02.010
Type:
Article
ISSN:
0016-0032
Sponsors:
The authors gratefully acknowledge the support of the Austrian Science Fund. The work of Philipp Grohs has been supported by grant No. P19780. The research for this paper has been carried out while the author was working at the Center for Geometric Modeling and Scientific Visualization at KAUST, Saudi Arabia.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorGrohs, Philippen
dc.contributor.authorWallner, Johannesen
dc.date.accessioned2016-02-25T12:58:57Zen
dc.date.available2016-02-25T12:58:57Zen
dc.date.issued2012-06en
dc.identifier.citationGrohs P, Wallner J (2012) Definability and stability of multiscale decompositions for manifold-valued data. Journal of the Franklin Institute 349: 1648–1664. Available: http://dx.doi.org/10.1016/j.jfranklin.2011.02.010.en
dc.identifier.issn0016-0032en
dc.identifier.doi10.1016/j.jfranklin.2011.02.010en
dc.identifier.urihttp://hdl.handle.net/10754/597923en
dc.description.abstractWe discuss multiscale representations of discrete manifold-valued data. As it turns out that we cannot expect general manifold analogs 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. © 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.en
dc.description.sponsorshipThe authors gratefully acknowledge the support of the Austrian Science Fund. The work of Philipp Grohs has been supported by grant No. P19780. The research for this paper has been carried out while the author was working at the Center for Geometric Modeling and Scientific Visualization at KAUST, Saudi Arabia.en
dc.publisherElsevier BVen
dc.titleDefinability and stability of multiscale decompositions for manifold-valued dataen
dc.typeArticleen
dc.identifier.journalJournal of the Franklin Instituteen
dc.contributor.institutionEidgenossische Technische Hochschule Zurich, Zurich, Switzerlanden
dc.contributor.institutionTechnische Universitat Graz, Graz, Austriaen
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.