convert formula into coding form

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Hi, i have this kind of formula
dy=(X,Y+1)-(X,Y-1)
dx=(X+1,Y)-(X-1,Y)
(X,Y)=(dx^2+dy^2)^1/2
and i want to convert into coding form.Can anyone help me? and I just get confuse whether the formula need to be to a second derivation or just power of 2 the value?
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Syakira Akmal
Syakira Akmal 2017-4-11
correction for the formula
alpha(X,Y)=(dx^2_dy^2)^1/2
Rik
Rik 2017-4-11
What do you actually mean with this syntax? (And I would advise using sqrt instead of ^(1/2).)

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Image Analyst
Image Analyst 2017-4-11
Use imgradient():
[Gx, Gy] = imgradientxy(I); % Gx is what you call dx and Gy is what you call dy.
[Gmag, Gdir] = imgradient(Gx, Gy); % Gmag is what you call alpha.
  3 个评论
Image Analyst
Image Analyst 2019-8-25
Each point has exactly one gradient, with both a magnitude and a direction, which you can decompose into two orthogonal vectors along the x and y direction if you want or need to.
What is the average you desire being taken over? Gmag is the gradient magnitude at each point, like I said, so if you want the "average" gradient then you must want it averaged over several points. So . . . which points? All points in a square window centered at the point? If so, what is the window size? All points in a circular window centered around the point? Again, what size?
Possibly more important than that is WHY you want the average gradient. So, why do you want the average instead of the actual gradient?
PPO POT
PPO POT 2019-9-11
Dear Munshida P ,
Please give me your original paper that give the equation of AG= 1/((H−1) (W−1))xyG (x, y)√2 to me.

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