If the Gaussian filter is expressed as H(u, v) = e^(-D^2 (u,v)/2D 0^2),where D(u, v) is the distance from point(u, v), D0is the distance defining cutoff frequency, then for what value of D(u, v) the filter is down to 0.607 of its maximum value?(a) D(u, v) = D0(b) D(u, v) = D0^2(c) D(u, v) = D0^3(d) D(u, v) = 0The question was asked in an interview for internship.The doubt is from Gaussain Lowpass and Sharpening Frequency Domain Filters topic in chapter Filtering in Frequency Domain of Digital Image Processing

If the Gaussian filter is expressed as H(u, v) = e^(-D^2 (u,v)/2D 0^2)

1.	If the Gaussian filter is expressed as H(u, v) = e^(-D^2 (u,v)/2D 0^2),where D(u, v) is the distance from point(u, v), D0is the distance defining cutoff frequency, then for what value of D(u, v) the filter is down to 0.607 of its maximum value?(a) D(u, v) = D0(b) D(u, v) = D0^2(c) D(u, v) = D0^3(d) D(u, v) = 0The question was asked in an interview for internship.The doubt is from Gaussain Lowpass and Sharpening Frequency Domain Filters topic in chapter Filtering in Frequency Domain of Digital Image Processing
Answer» The correct CHOICE is (a) D(u, v) = D0 To explain: For the given GAUSSIAN filter of 2-D IMAGE, the VALUE D(u, v) = D0gives the filter a down to 0.607 of its MAXIMUM value.

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