How to do perspective correction in Matlab from known Intrinsic and Extrinsic parameters?

Question

I\'m using Matlab for camera calibration using Jean- Yves Bouget\'s Camera Calibration Toolbox. I have all the camera parameters from the calibration procedure. When I use a

Answer 1

Approach 1: In the Camera Calibration Toolbox you should notice that there is an H matrix for each image of your checkerboard in your workspace. I am not familiar with the computer vision toolbox yet but perhaps this is the matrix you need for your function. It seems that H is computed like so:

KK = [fc(1) fc(1)*alpha_c cc(1);0 fc(2) cc(2); 0 0 1];
H = KK * [R(:,1) R(:,2) Tc]; % where R is your extrinsic rotation matrix and Tc the translation matrix
H = H / H(3,3);

Approach 2: If the computer vision toolbox function doesn't work out for you then to find the prospective projection of an image I have used the interp2 function like so:

[X, Y] = meshgrid(0:size(I,2)-1, 0:size(I,1)-1);
im_coord = [X(:), Y(:), ones(prod(size(I_1)))]';
% Insert projection here for X and Y to XI and YI
ZI = interp2(X,Y,Z,XI,YI);

I have used prospective projections on a project a while ago and I believe that you need to use homogeneous coordinates. I think I found this wikipedia article quite helpful.