> Your 1D example seemed to be about the image boundaries rather than the 
> image being represented by real/complex numbers.  The point about the 
> image boundaries is true, and will prevent an exact deconvolution as you 
> pointed out.  You can still often get a good approximate solution by 
> either assuming boundary conditions or by using an image prior.  I 
> believe the latter is these is what's generally used in practice for 
> image deblurring.

The example I was referring to was this one:

Convolution kernel: {1,2,1}
Source image: {a,b,c,d,e,f,g,h}
Result: {12,12,12,12,12,12,12,12}

What is the source image?

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