Euclidian Norm and Brightness between 2 images

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Hamsah
Hamsah am 5 Feb. 2012
Verschoben: DGM am 20 Feb. 2023
I really appreciate your help and I would be soo grateful if you help me with this?, I have two questions...
How to calculate these two equations if I have two images(RGB)as an input,
1- Euclidian Norm between 2 images, the equation is shown below:
[this measure is used to find the set of the closest palette color in Euclidian norm]
d= sqrt ( (R1-R2)^2 + (G1-G2)^2 + (B1-B2)^2 );
2- Brightness between 2 images, the equation is shown below:
[Brightness information, which measures the brightness of the cover image and the Stego image and compute the difference between the brightness of the cover image and the brightness of the Stego image, this is done by measuring the length of the RGB vector for both cover and Stego images. The calculation is done according to the following
formula:]
L= sqrt (R^2 + G^2 + B^) ;
  1 Kommentar
shikha mangal
shikha mangal am 16 Apr. 2016
hi i want to ask something related to the above question.
i want to calculate difference matrix between two rgb images by applying the euclidean distance formula on them,and the difference matrix should also be an image.is it possible?
Actually i have to use that matrix for further operation to generate reference background image of my frame sequence.please help me with this.i am truely in need.thanks

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Akzeptierte Antwort

Junaid
Junaid am 6 Feb. 2012
then I guess for L you can do following.
R1 = R1(:); R2 = R2(:);
G1 = G1(:); G2 = G2(:);
B1 = B1(:); B2 = B2(:);
L1 = sqrt(sum(double((R1.^2 + G1.^2 + B1.^2)))) ;
L2 = sqrt(sum(double((R2.^2 + G2.^2 + B2.^2)))) ;
  7 Kommentare
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Junaid
Junaid am 7 Feb. 2012
Verschoben: DGM am 20 Feb. 2023
that is all right :-)
Takeoff Groups
Takeoff Groups am 21 Mär. 2018
Verschoben: DGM am 20 Feb. 2023
superb

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Weitere Antworten (2)

Junaid
Junaid am 6 Feb. 2012
Bearbeitet: Jan am 18 Mai 2018
You question is not quite clear, if you take the Euclidean norm between two images, then the formula you have written would return a matrix. I guess you want to get euclidean norm between two images as one scalar number right ? If so then based on your formula I have written code in steps.
Let A, and B be the two RGB images with same dimensions.
R1 = A(:,:,1); R2 = B(:,:,1);
G1 = A(:,:,2); G2 = B(:,:,2);
B1 = A(:,:,3); B2 = B(:,:,3);
s = (R1-R2).^2+(G1-G2).^2+(B1-B2).^2;
s = s(:);
d= sqrt(sum(s)); % this is euclidean norm
As your formula for Brightness can be computed as follow
L = sqrt(double((R1.^2 + G1.^2 + B1.^2))) ;
Here L is the Brightness of image 1 by your formula, it is Matrix. I m not very clear about your formula.
[EDITED, typo fixed: G1/2 and B1/2 inserted]
  1 Kommentar
Hamsah
Hamsah am 6 Feb. 2012
Thankx alot for the first equation. but for the brightness equation i also want a scalar number, sorry for not being clear because im new on these equations.

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Walter Roberson
Walter Roberson am 5 Feb. 2012
Hint: X.^2 instead of X^2

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