Handle URI:
http://hdl.handle.net/10754/597848
Title:
Continuous Shearlet Tight Frames
Authors:
Grohs, Philipp
Abstract:
Based on the shearlet transform we present a general construction of continuous tight frames for L2(ℝ2) from any sufficiently smooth function with anisotropic moments. This includes for example compactly supported systems, piecewise polynomial systems, or both. From our earlier results in Grohs (Technical report, KAUST, 2009) it follows that these systems enjoy the same desirable approximation properties for directional data as the previous bandlimited and very specific constructions due to Kutyniok and Labate (Trans. Am. Math. Soc. 361:2719-2754, 2009). We also show that the representation formulas we derive are in a sense optimal for the shearlet transform. © 2010 Springer Science+Business Media, LLC.
Citation:
Grohs P (2010) Continuous Shearlet Tight Frames. Journal of Fourier Analysis and Applications 17: 506–518. Available: http://dx.doi.org/10.1007/s00041-010-9149-y.
Publisher:
Springer Nature
Journal:
Journal of Fourier Analysis and Applications
Issue Date:
22-Oct-2010
DOI:
10.1007/s00041-010-9149-y
Type:
Article
ISSN:
1069-5869; 1531-5851
Sponsors:
The research for this paper has been carried out while the author was working atthe 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.date.accessioned2016-02-25T12:57:44Zen
dc.date.available2016-02-25T12:57:44Zen
dc.date.issued2010-10-22en
dc.identifier.citationGrohs P (2010) Continuous Shearlet Tight Frames. Journal of Fourier Analysis and Applications 17: 506–518. Available: http://dx.doi.org/10.1007/s00041-010-9149-y.en
dc.identifier.issn1069-5869en
dc.identifier.issn1531-5851en
dc.identifier.doi10.1007/s00041-010-9149-yen
dc.identifier.urihttp://hdl.handle.net/10754/597848en
dc.description.abstractBased on the shearlet transform we present a general construction of continuous tight frames for L2(ℝ2) from any sufficiently smooth function with anisotropic moments. This includes for example compactly supported systems, piecewise polynomial systems, or both. From our earlier results in Grohs (Technical report, KAUST, 2009) it follows that these systems enjoy the same desirable approximation properties for directional data as the previous bandlimited and very specific constructions due to Kutyniok and Labate (Trans. Am. Math. Soc. 361:2719-2754, 2009). We also show that the representation formulas we derive are in a sense optimal for the shearlet transform. © 2010 Springer Science+Business Media, LLC.en
dc.description.sponsorshipThe research for this paper has been carried out while the author was working atthe Center for Geometric Modeling and Scientific Visualization at KAUST, Saudi Arabia.en
dc.publisherSpringer Natureen
dc.subjectContinuous framesen
dc.subjectRepresentation formulasen
dc.subjectShearleten
dc.titleContinuous Shearlet Tight Framesen
dc.typeArticleen
dc.identifier.journalJournal of Fourier Analysis and Applicationsen
dc.contributor.institutionEidgenossische Technische Hochschule Zurich, Zurich, Switzerlanden
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