Exact variance-stabilizing transformations for image-signaldependent rayleigh and other weibull noise sources

Paul Richard Prucnal, Evan L. Goldstein

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

Variance-stabilizing transforms for families of Rayleigh and, more generally, for Weibull random variables are derived and shown to be exact. These transforms, when applied to appropriate noisy images, render signal-dependent noise signal-independent. Their utility is that, after applying the transforms, classical estimation procedures devised for additive, signal-independent noise can be brought to bear. The results are expected to find use in image filtering, in photon counting, and in the processing of optical field magnitudes and intensities generated by chaotic sources.

Original languageEnglish (US)
Pages (from-to)1038-1041
Number of pages4
JournalApplied Optics
Volume26
Issue number6
DOIs
StatePublished - Mar 15 1987
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Engineering (miscellaneous)

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