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Math Help - Sobel operator smoothing, why?

  1. #1
    Senior Member TriKri's Avatar
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    Question Sobel operator smoothing, why?

    Why does the Sobel operator, as the Wikipedia article also concludes, smooth the image out (with a triangle filter) perpendicular to the derivative direction, before it applies the central difference operator? What is the purpose of that?
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  2. #2
    Grand Panjandrum
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    Re: Sobel operator smoothing, why?

    Quote Originally Posted by TriKri View Post
    Why does the Sobel operator, as the Wikipedia article also concludes, smooth the image out (with a triangle filter) perpendicular to the derivative direction, before it applies the central difference operator? What is the purpose of that?
    Presumably to reduce the effects of image noise on the numerical derivative, which is known to be a noise amplifying process.

    CB
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    Senior Member TriKri's Avatar
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    Re: Sobel operator smoothing, why?

    Yes, that might much likely be it. My thought was that it would have something to do with the rotational symmetry of the operator, which is mentioned very shortly in the Wikipedia article (but not explained). I have to figure out what that is though.
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