File:Richardson-Lucy deconvolution simplified.gif

English: A demonstration of the Richardson–Lucy deconvolution algorithm to some synthetic one-dimensional data.

The top plot shows the original unknown signal (sometimes called the source).

The middle plot shows the measured degraded signal (sometimes called the image), which is the original signal convolved with an impulse-response function and degraded with Poisson noise, as is realistic for many forms of measurement.

The bottom plot shows the signal inferred by applying some number of Richardson–Lucy iterations to the measurement.

The plot stops after 400 iterations, after which there's pretty good agreement between the true signal and the inferred signal. To find out what happens next, see File:Richardson-Lucy deconvolution gone wild simplified.gif.

This image was generated using the code available at github.com/jkunimune/richardson-lucy.