If an image is expressed as the multiplication of illumination and reflectance component i.e. f(x, y)= i(x, y) * r(x, y), then Validate the statement “We can directly use the equation f(x, y)= i(x, y) * r(x, y) to operate separately on the frequency component of illumination and reflectance” .(a) True(b) FalseI have been asked this question in a national level competition.I'd like to ask this question from Homomorphic filtering topic in chapter Intensity Transformations and Spatial Filtering of Digital Image Processing

If an image is expressed as the multiplication of illumination and ref

1.	If an image is expressed as the multiplication of illumination and reflectance component i.e. f(x, y)= i(x, y) * r(x, y), then Validate the statement “We can directly use the equation f(x, y)= i(x, y) * r(x, y) to operate separately on the frequency component of illumination and reflectance” .(a) True(b) FalseI have been asked this question in a national level competition.I'd like to ask this question from Homomorphic filtering topic in chapter Intensity Transformations and Spatial Filtering of Digital Image Processing
Answer» Correct option is (b) False For explanation I WOULD say: For an image is expressed as the multiplication of illumination and reflectance component i.e. f(x, y)= i(x, y) * r(x, y), the equation can’t be used directly to operate separately on the frequency component of illumination and reflectance because the Fourier TRANSFORM of the product of TWO FUNCTION is not separable.

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