Converting RGB Image to HSI
H stands for Hue, S for Saturation and I for Intensity.
MATLAB CODE:
Read a RGB Image
A=imread('peppers.png');
figure,imshow(A);title('RGB Image');
%Represent the RGB image in
[0 1] range
I=double(A)/255;
R=I(:,:,1);
G=I(:,:,2);
B=I(:,:,3);
%Hue
numi=1/2*((R-G)+(R-B));
denom=((R-G).^2+((R-B).*(G-B))).^0.5;
%To avoid divide by zero
exception add a small number in the denominator
H=acosd(numi./(denom+0.000001));
%If B>G then H= 360-Theta
H(B>G)=360-H(B>G);
%Normalize to the range [0
1]
H=H/360;
%Saturation
S=1-
(3./(sum(I,3)+0.000001)).*min(I,[],3);
%Intensity
I=sum(I,3)./3;
%HSI
HSI=zeros(size(A));
HSI(:,:,1)=H;
HSI(:,:,2)=S;
HSI(:,:,3)=I;
figure,imshow(HSI);title('HSI Image');
Explanation:
1.
Read
a RGB image using ‘imread’ function.
2.
Each
RGB component will be in the range of [0 255].
Represent the image in [0 1] range by dividing the image by 255.
3.
Find
the theta value. If B<=G then H= theta. If B>G then H= 360-theta
4.
Use
‘acosd’ function to find inverse cosine and obtain the result in degrees.
5.
Divide
the hue component by 360 to represent in the range [0 1]
6.
Similarly,
find the saturation and the intensity components.
7.
Display
the image.
