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Proceedings Paper

Image representation based on cosine crossings of wavelet decompositions
Author(s): Prasanjit Panda; Michael L. Hilton; Bjorn D. Jawerth; Wim Sweldens
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Paper Abstract

The sampling theorem of Bar-David provides an implicit representation of bandlimited signals using their crossings with a cosine function. This cosine function is chosen in a way that guarantees a unique representation of the signal. Previously, we extended Bar-David's theorem to periodic functions on an interval, leading to a multiplicative representation involving a Riesz product whose roots form a unique and stable representation of the signal. We also presented numerical algorithms for the analysis and synthesis of 1D signals. In this paper, we extend our previous results by developing algorithms for 2D signals and incorporating the wavelet transform into the cosine crossing representation.

Paper Details

Date Published: 1 September 1995
PDF: 9 pages
Proc. SPIE 2569, Wavelet Applications in Signal and Image Processing III, (1 September 1995); doi: 10.1117/12.217591
Show Author Affiliations
Prasanjit Panda, Univ. of South Carolina (United States)
Michael L. Hilton, Univ. of South Carolina (United States)
Bjorn D. Jawerth, Univ. of South Carolina (United States)
Wim Sweldens, Katholieke Univ. Leuven (Belgium)

Published in SPIE Proceedings Vol. 2569:
Wavelet Applications in Signal and Image Processing III
Andrew F. Laine; Michael A. Unser, Editor(s)

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