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dc.contributor.authorRomberg, Justin
Riedi, Rudolf H.
Choi, Hyeokho
Baraniuk, Richard G.
dc.creatorRomberg, Justin
Riedi, Rudolf H.
Choi, Hyeokho
Baraniuk, Richard G.
dc.date.accessioned 2007-10-31T01:02:29Z
dc.date.available 2007-10-31T01:02:29Z
dc.date.issued 2000-07-01
dc.date.submitted 2000-07-01
dc.identifier.citation J. Romberg, R. H. Riedi, H. Choi and R. G. Baraniuk, "Multiplicative Multiscale Image Decompositions: Analysis and Modeling," vol. 4119, 2000.
dc.identifier.urihttps://hdl.handle.net/1911/20294
dc.description Conference Paper
dc.description.abstract Multiscale processing, in particular using the wavelet transform, has emerged as an incredibly effective paradigm for signal processing and analysis. In this paper, we discuss a close relative of the Haar wavelet transform, the multiscale multiplicative decomposition. While the Haar transform captures the differences between signal approximations at different scales, the multiplicative decomposition captures their ratio. The multiplicative decomposition has many of the properties that have made wavelets so successful. Most notably, the multipliers are a sparse representation for smooth signals, they have a dependency structure similar to wavelet coefficients, and they can be calculated efficiently. The multiplicative decomposition is also a more natural signal representation than the wavelet transform for some problems. For example, it is extremely easy to incorporate positivity constraints into multiplier domain processing. In addition, there is a close relationship between the multiplicative decomposition and the Poisson process; a fact that has been exploited in the field of photon-limited imaging. In this paper, we will show that the multiplicative decomposition is also closely tied with the Kullback-Leibler distance between two signals. This allows us to derive an n-term KL approximation scheme using the multiplicative decomposition.
dc.language.iso eng
dc.subjectHaar wavelet transform
multiscale processing
Poisson process
Kullback-Leibler (KL)
dc.title Multiplicative Multiscale Image Decompositions: Analysis and Modeling
dc.type Conference paper
dc.date.note 2001-09-20
dc.citation.bibtexName inproceedings
dc.date.modified 2006-06-26
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)
dc.subject.keywordHaar wavelet transform
multiscale processing
Poisson process
Kullback-Leibler (KL)
dc.citation.volumeNumber 4119
dc.citation.location San Diego, CA
dc.citation.conferenceName SPIE Technical Conference on Wavelet Applications in Signal Processing
dc.type.dcmi Text
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1117/12.408660


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    Publications by Rice Faculty and graduate students in digital signal processing.
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