Deconvolution is a mathematical operation used in Image Restoration to recover an image that is degraded by a process than can be described with a Convolution.
The Image Formation process is mathematically described by a Convolution equation of the form
where the image g arises from the convolution of the real light sources f (the object) and the Point Spread Function (PSF) h. In other words, the microscope yields an image g, which is a degraded version of the object "f". The degradation is caused by blurring (convolution) by the PSF, wider PSFs leading to more severe blurring. The PSF can be measured, for example by Recording Beads, or by a theoretical optical calculation based on knowledge of the Microscopic Parameters. This is outlined in the following illustration:
Our aim is to recover the original object "f", and we do it by doing Deconvolution.
See more details on how the Huygens Software does deconvolution in Huygens Deconvolution.
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