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HOMOMORPHIC FILTERING IN IMAGE PROCESSING AND ITSAPPLICATIONS
Image processing in humans
Image processing in computer
WHAT IS IMAGE PROCESSING? Image processing is a form of signal processing for which the input is an image, such as photographs or frames of videos and the output can either be an image or a set of characteristics or parameters related to the image.
Principle: ,[object Object],Homomorphic filtering is a generalized technique for image enhancement and/or correction. It simultaneously normalizes the brightness across an image and increases contrast
An image can be expressed as the product of illumination and reflectance:  		f(x,y,z)=i(x,y,z).r(x,y,z)   =>   g(x,y,z)=ln(f(x,y,z))    =>   g(x,y,z)=ln(i(x,y,z))+ln(r(x,y,z))
Then taking DFT:           F(g(x,y,z))=F(ln(i(x,y,z)))+F(ln(r(x,y,z))) Then we will apply it to a filter.  	we will get F(s(x,y,z)) as o/p  Then inverse DFT(IDFT) of filter output is taken. 	we will get, 	 s(x,y,z)=I'(x,y,z)+r’(x,y,z) Then we will take exponential to get enhanched image 	s’(x,y,z)=I‘’(x,y,z).r’’(x,y,z)
I‘’(x,y,z), r’’(x,y,z) are the illumination and reflectance of the ‘’enhanced'' image.     The illumination component tends to vary  slowly across the image. The reflectance tends                   to vary rapidly. Therefore, by applying a frequency domain filter we can reduce intensity variation across the image while highlighting detail.
Homomorphic filtering
Filtering in the Frequency Domain : Lowpass Filter Highpass Filter
Typical operations: ,[object Object]
Image re-touching, Cleaning & Cloning 
Colorization 
Specialized Services 
Photo Restoration 
Removing objects, backgrounds, persons etc. 

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