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dc.contributor.authorTimmerman, Klaus
Nowak, Robert David
dc.creatorTimmerman, Klaus
Nowak, Robert David
dc.date.accessioned 2007-10-31T01:07:17Z
dc.date.available 2007-10-31T01:07:17Z
dc.date.issued 1999-04-20
dc.date.submitted 2002-10-02
dc.identifier.citation K. Timmerman and R. D. Nowak, "Multiscale modeling and estimation of Poisson processes with application to photon-limited imaging," IEEE Transactions on Information Theory, vol. 45, no. 3, 1999.
dc.identifier.urihttps://hdl.handle.net/1911/20397
dc.description Journal Paper
dc.description.abstract Many important problems in engineering and science are well-modeled by Poisson processes. In many applications it is of great interest to accurately estimate the intensities underlying observed Poisson data. In particular, this work is motivated by photon-limited imaging problems. This paper studies a new Bayesian approach to Poisson intensity estimation based on the Haar wavelet transform. It is shown that the Haar transform provides a very natural and powerful framework for this problem. Using this framework, a novel multiscale Bayesian prior to model intesity functions is devised. The new prior leads to a simple, Bayesian intensity estimation procedure. Furthermore, we characterize the correlation behavior of the new prior and show that it has 1/f spectral characteristics. The new framework is applied to photon-limited image estimation and its potential to improve nuclear medicine imaging is examined.
dc.language.iso eng
dc.subjectPoisson processes
multiscale analysis
wavelets
Bayesian inference
photon-limited imaging
dc.subject.otherImage Processing and Pattern analysis
Wavelet based Signal/Image Processing
Multiscale Methods
Medical Imagining Applications
dc.title Multiscale modeling and estimation of Poisson processes with application to photon-limited imaging
dc.type Journal article
dc.citation.bibtexName article
dc.citation.journalTitle IEEE Transactions on Information Theory
dc.date.modified 2002-10-11
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)
dc.subject.keywordPoisson processes
multiscale analysis
wavelets
Bayesian inference
photon-limited imaging
dc.citation.volumeNumber 45
dc.citation.issueNumber 3
dc.type.dcmi Text
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1109/18.761328
dc.citation.firstpage 846
dc.citation.lastpage 842


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    Publications by Rice Faculty and graduate students in digital signal processing.
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    Publications by Rice University Electrical and Computer Engineering faculty and graduate students

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