How to integrate two images

I have two images. The first one is original RGB image and the second one is the Chromaticity image of original image. I want to know how to re-integrate the Chromaticity image onto the original image, so that the original image becomes shadow free.

The objective is to remove shadow from the aerial images. So far, I have an obtained the Chromaticity image (without shadow). How should i proceed to produce shadow-free iamge.

I = im2double(imread('C:\Users\DIVYA MEENA\Desktop\ele2.jpg'));
    L1 = chromaticity(I); %find image chromaticity
    subplot(121); imagesc(I); title('Original image');
    subplot(122); imagesc(L1); 
    title('Chromaticity image');
    function [rgb] = chromaticity(RGB)
    R = RGB(:,:,1); % extract the red channel
    G = RGB(:,:,2); % extract the green channel
    B = RGB(:,:,3); % extract the blue channel
    V = R+G+B;      % calculate summation of the 3 channels
   
    r = R./V;       % calculate the red channel chromaticity
    g = G./V;       % calculate the green channel chromaticity
    b = B./V;       % calculate the blue channel chromaticity
    rgb = cat(3,r,g,b); %calculate the overall chromaticity
end

[KALYAN ACHARJYA]

I have read about adapthisteq(I) to enhance the sharpness for gray images to remove shadow. Can you share related reference which you have been followed?

Please wait for @Walter's or @Image Analyst's comments / Answer?

[S DIVYA MEENA]

Thanks for the advice. However, i dint get expected rresults with adapthisteq(I). i have attached the reference paper that im following. kindly have a look.

Answer 1

[Rajani Mishra]

Hi,

There are multiple answers on MATLAB answers related to obtaining shadow free image. Please find them below:

1. https://www.mathworks.com/matlabcentral/answers/331999-how-to-remove-shadow-from-image
2. https://www.mathworks.com/matlabcentral/answers/390141-how-to-remove-shadows-from-rgb-image
3. https://www.mathworks.com/matlabcentral/answers/437554-how-to-remove-shadow-from-the-rgb-image
4. https://www.mathworks.com/matlabcentral/answers/28732-how-to-proceed-to-identify-shadows-in-an-image

Hope this helps!

[S DIVYA MEENA]

Thanks a lot for the links. I did try those. But it din't solve my problem, as my images are taken from aerial. Even after preprocessing, those techniques were not able to remove shadow.