Deconvolution

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

  (Eq. 1)

where the image g arises from the convolution of the real light sources f (the object) and the Point Spread Function (PSF) h.

In a image acquisition we obtain the image g. We can also know how the microscope degrades the image by measuring its PSF (for example by Recording Beads) or by a theoretical calculation based on some Microscopic Parameters. Therefore the situation is described by the following illustration:

We want to obtain information about the original object, and we do it by Doing Deconvolution.

Blind Deconvolution is a deconvolution method that tries to obtain both the object f and the PSF h simultaneously out of the image g. Therefore in principle it does not require a measurement of the PSF.

See more details on how the Huygens Software does deconvolution in Huygens Deconvolution.