Delta function in Matlab

2015 12 12
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In image de-blurrring processs, PSF(h) is first asssumed to be a delat function, i.e 1 for pixel
but sum(h(x,y))=1, h(x,y)>=0, are the conditions/ contraints for psf.
considering the first constraint ,each pixcel cannot be alloted 1, i am confused, can anyone guide me regarding the delta-function.

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