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Proceedings Paper

Preconditioning of frames
Author(s): Gitta Kutyniok; Kasso Okoudjou; Friedrich Philipp
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Paper Abstract

The recently introduced and characterized scalable frames can be considered as those frames which allow for perfect preconditioning in the sense that the frame vectors can be rescaled to yield a tight frame. In this paper we define m−scalability, a refinement of scalability based on the number of non-zero weights used in the rescaling process. We enlighten a close connection between this notion and elements from convex geometry. Another focus lies in the topology of scalable frames. In particular, we prove that the set of scalable frames with “usual” redundancy is nowhere dense in the set of frames.

Paper Details

Date Published: 26 September 2013
PDF: 8 pages
Proc. SPIE 8858, Wavelets and Sparsity XV, 88580G (26 September 2013); doi: 10.1117/12.2022667
Show Author Affiliations
Gitta Kutyniok, Technische Univ. Berlin (Germany)
Kasso Okoudjou, Univ. of Maryland (United States)
Friedrich Philipp, Technische Univ. Berlin (Germany)

Published in SPIE Proceedings Vol. 8858:
Wavelets and Sparsity XV
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

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