Converting and Translating Points From Azimuth and Elevation to a Sphere and Back

transformedImage = app.originalImage; % Original image is the image to be translated
transformedImage(:, :, :) = 0; % Creating a blacnk image to map pixels to

length = app.imageLength;
width = app.imageWidth;

% loop through every pixel in the image
for i = 1 : 1 : width
    for j = 1 : 1: length
        % REFER TO FIGURE 1:
        pixelAzimuth = (360/(length-1))*j + (-360/(length-1)-180); % Getting degrees azimuth from pixel position
        pixelElevation = (-180/(width-1))*i + (180/(width-1)+90); % Getting degrees elevation from pixel position
        
        % Generating 3D coordinates from the azimuth and elevation using math and translating the points
        A = -pixelAzimuth+90;
        E = -pixelElevation+90;
        X = cosd(A) * sind(E + app.TotalPitch); % 360 image is to be rotated by TotalPitch degrees
        Y = sind(A) * sind(E + app.TotalPitch); % 360 image is to be rotated by TotalPitch degrees
        Z = cosd(E + app.TotalPitch);
        
        % Getting azimuth and elevation back from X Y Z point
        newAzimuth = acosd(Z);
        newElevation = atan2d(Y, X);
        
        % Translating azimuth and elevation back to pixel numbers
        col = round(((1-length)/-360)*newAzimuth + -180*((1-length)/-360) + length);
        row = round(((1-width)/180)*newElevation + 90*((1-width)/+180) + width);
        % Map pixel from old image to transformed image with transformations
        transformedImage(col, row, :) = app.originalImage(i, j, :);
    end
end
% Set newImage property to the transformed image
app.newImage = transformedImage;

This is the code that is supposed to do the transformations. For some reason the col and row values generated are incorrect, and are causing errors.

FIGURE 1:

This is essentially what we are trying to do, translate the pixels in a 360 image along the blue line: