Deconvolution and TILLvisDECO package
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Deconvolution by adaptive inverse modelling – the TILLvisDECO approach
The convolution of an imaged object by the PSF is in principle reversible - a process called deconvolution. The TILLvisDECO software (developed together with the research group of Les Loew) (http://www.cbit.uchc.edu/) uses an adaptive inverse modelling method to deconvolve image data. To do this, a three-dimensional finite inverse response (FIR) filter is used to adaptively model a measured PSF (the image of a sub-resolution fluorescent bead), visualised under the same conditions (wavelength, objective, z-step, etc.) as the specimen of interest, and which characterises the "corruption". The output of this process is compared to a desired response (defined as a low, medium, or high resolution virtual PSF model in TILLvisDECO) and the difference, or error, is used to update the FIR coefficients via a least mean squares (LMS) algorithm. Multiple iterations of this process eventually lead to a convergence of the coefficients, which fixes the values of the FIR filter. The adaptively modelled FIR can then be applied to the image data.

