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- Richardson–Lucy_deconvolution abstract "The Richardson–Lucy algorithm, also known as Lucy–Richardson deconvolution, is an iterative procedure for recovering a latent image that has been blurred by a known point spread function. It was named after William Richardson and Leon Lucy. Pixels in the observed image can be represented in terms of the point spread function and the latent image as where is the point spread function (the fraction of light coming from true location that is observed at position ), is the pixel value at location in the latent image, and is the observed value at pixel location . The statistics are performed under the assumption that are Poisson distributed, which is appropriate for photon noise in the data.The basic idea is to calculate the most likely given the observed and known . This leads to an equation for which can be solved iteratively according to whereIt has been shown empirically that if this iteration converges, it converges to the maximum likelihood solution for .This can also be written more generally (for more dimensions) in terms of convolution,where the division and multiplication are element wise, and is the flipped point spread function, such thatIn problems where the point spread function is dependent on one or more unknown parameters, the Richardson–Lucy algorithm cannot be used. A later and more general class of algorithms, the expectation-maximization algorithms, have been applied to this type of problem with great success".
- Richardson–Lucy_deconvolution wikiPageID "2666268".
- Richardson–Lucy_deconvolution wikiPageRevisionID "604551517".
- Richardson–Lucy_deconvolution subject Category:Estimation_theory.
- Richardson–Lucy_deconvolution subject Category:Image_processing.
- Richardson–Lucy_deconvolution comment "The Richardson–Lucy algorithm, also known as Lucy–Richardson deconvolution, is an iterative procedure for recovering a latent image that has been blurred by a known point spread function. It was named after William Richardson and Leon Lucy.".
- Richardson–Lucy_deconvolution label "Richardson–Lucy deconvolution".
- Richardson–Lucy_deconvolution sameAs Richardson%E2%80%93Lucy_deconvolution.
- Richardson–Lucy_deconvolution sameAs Q7330362.
- Richardson–Lucy_deconvolution sameAs Q7330362.
- Richardson–Lucy_deconvolution wasDerivedFrom Richardson–Lucy_deconvolution?oldid=604551517.