Richardson-Lucy method

The Richardson-Lucy method is used in combination with the deconvolution method which is one of image processing methods. The deconvolution method is based on the concept where an observed image is expressed by convolution of a true image and a Point Spread Function (PSF) that causes degradation of the image. The true image is obtained from deconvolution of the observed image and the PSF. However, if the PSF is not known, the estimation of the PSF is required. The Richardson-Lucy method is effective for estimating the PSF. (Another method that can be used in combination with convolution is the maximum entropy method.) In deconvolution using the Richardson-Lucy method, first the initial true image is assumed. The PSF is obtained from the deconvolution of the observed image using the true image. Then, the second-generation true image is obtained from the deconvolution of the obtained image using the obtained PSF. The final true image is obtained by repeating these processes. That is, these processes are executed iteratively until the image is converged. For example, the method is used for enhancing an EELS spectrum.

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