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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- Jul 14th 2011, 03:51 AMTriKriSobel 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?

- Jul 16th 2011, 12:14 AMCaptainBlackRe: Sobel operator smoothing, why?
- Jul 16th 2011, 11:20 AMTriKriRe: 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.