## convert formula into coding form

Asked by Syakira Akmal

### Syakira Akmal (view profile)

on 11 Apr 2017
Latest activity Commented on by PPO POT

### PPO POT (view profile)

on 11 Sep 2019 at 23:15
Accepted Answer by Image Analyst

### Image Analyst (view profile)

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?

Syakira Akmal

### Syakira Akmal (view profile)

on 11 Apr 2017
correction for the formula
alpha(X,Y)=(dx^2_dy^2)^1/2
Rik

### Rik (view profile)

on 11 Apr 2017
What do you actually mean with this syntax? (And I would advise using sqrt instead of ^(1/2).)

### Products ### Image Analyst (view profile)

Answer by Image Analyst

### Image Analyst (view profile)

on 11 Apr 2017

[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.

Munshida P

### Munshida P (view profile)

on 25 Aug 2019 at 3:59
AG measures the gradient magnitude of an image and takes thevariation of each of the adjacent pixels into account. AG is given asfollows:
AG= 1/((H1) (W1))xyG (x, y)2
where H × W is the size of the image and G(•)is the gradient vectorof the image.
How can i calculate this ...average gradient from
[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.
Image Analyst

### Image Analyst (view profile)

on 25 Aug 2019 at 17:29
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 (view profile)

on 11 Sep 2019 at 23:15
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.