Example of turbulenceblurBlurryimageDeblurredimage
Example of turbulence blur Blurry image Deblurred image
Exampleof motionblur
Example of motion blur
Image deblur modelNoiseObservedImage1(,y)g(x,y)f(a,y)DeblurSensorFilterLinear model of observation systemg(c,y)=f(c,y)h(c,y)+n(,y
Image deblur model
Image filtering in the frequency domainThe observation eguation can also be expressed in the frequency domain asG(u,) = F(u,v)H(u,u) +N(u,v)Wecan construct an estimate of F(u,)by filtering the observation G(u,)Let T(u,v)be a linear shift-invariant reconstruction filter.F(u,) = G(u,v)T(u,u)Our task is to find a filter T(u,u)that provides a good estimate of theoriginal image.The solution must balance noise reduction and sharpening of the imageTheseareconflictinggoals
Image filtering in the frequency domain
Direct inverse filterT(u, u) = H-1(u, )F(u,v) = G(u, v)H-l(u,v) = F(u,) +N(u,v)H-1(u,v)The result will befiltered noise added tothe desired imageThe problem is that the inverse filter typically has very high gain at certainfreguencies so that the noiseterm completely dominates the result
Direct inverse filter