How project Velodyne point clouds on image? (KITTI Dataset) - matlab

Question

Here is my code to project Velodyne points into the images:
cam = 2;
frame = 20;
% compute projection matrix velodyne->image plane
R_cam_to_rect = eye(4);
[P, Tr_velo_to_cam, R] = readCalibration('D:/Shared/training/calib/',frame,cam)
R_cam_to_rect(1:3,1:3) = R;
P_velo_to_img = P*R_cam_to_rect*Tr_velo_to_cam;
% load and display image
img = imread(sprintf('D:/Shared/training/image_2/%06d.png',frame));
fig = figure('Position',[20 100 size(img,2) size(img,1)]); axes('Position',[0 0 1 1]);
imshow(img); hold on;
% load velodyne points
fid = fopen(sprintf('D:/Shared/training/velodyne/%06d.bin',frame),'rb');
velo = fread(fid,[4 inf],'single')';
% remove every 5th point for display speed
velo = velo(1:5:end,:);
fclose(fid);
% remove all points behind image plane (approximation
idx = velo(:,1)<5;
velo(idx,:) = [];
% project to image plane (exclude luminance)
velo_img = project(velo(:,1:3),P_velo_to_img);
% plot points
cols = jet;
for i=1:size(velo_img,1)
col_idx = round(64*5/velo(i,1));
plot(velo_img(i,1),velo_img(i,2),'o','LineWidth',4,'MarkerSize',1,'Color',cols(col_idx,:));
where readCalibration function is defined as
function [P, Tr_velo_to_cam, R_cam_to_rect] = readCalibration(calib_dir,img_idx,cam)
% load 3x4 projection matrix
P = dlmread(sprintf('%s/%06d.txt',calib_dir,img_idx),' ',0,1);
Tr_velo_to_cam = P(6,:);
R_cam_to_rect = P(5,1:9);
P = P(cam+1,:);
P = reshape(P ,[4,3])';
Tr_velo_to_cam = reshape(Tr_velo_to_cam ,[3,4])';
R_cam_to_rect = reshape(R_cam_to_rect ,[3,3])';
end
But here is the result:
what is wrong with my code? I changed the "cam" variable from 0 to 3 and none of them worked. You can find a sample of Calibration file in this link:
How to understand KITTI camera calibration files

Answer 1

I fixed it by myself. here is the modification in readCalibration function:
Tr_velo_to_cam = P(6,:);
Tr_velo_to_cam = reshape(Tr_velo_to_cam ,[4,3])';
Tr_velo_to_cam = [Tr_velo_to_cam;0 0 0 1];