how can i get a set of 2D views from a 3D model using matlab? i tried with camera toolbar but i don't know how to define parameters to based on the vertices of a dodecahedron .
MATLAB: 3D to 2D projection with matlab
3dMATLAB
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Your 2D points correspond to a ray in 3-space that passes through the 3D feature and the optical centre of the camera. You say you know the intrinsic parameters of the camera. So if you invert the camera's intrinsic calibration matrix, then you can place the image points on a 3D plane in the same Euclidean space as your point cloud. You then need to devise a way of finding the 3D point that's on (well, near actually) the ray emanating from the camera centre and passing through the image point on the image plane. Depending on the object in question this might be easy or quite difficult.
Hope that's useful in a vague sort of way. If you can be more specific, then we may be able to be of more help!
The following code will give you an idea how to plot such a thing in MATLAB. You can run this code to draw a sample graph but mainly focus on last 3 lines since they are relevant for projection on a 2D plane.
y=0:0.1:80;x = y/50.*cos(y);z = y/50.*sin(y);plot3(x,y,z, 'LineWidth', 2)grid onxlabel('x')ylabel('y')zlabel('z')ylim([0, 100])xlim([-2 2]);zlim([-2 2]);hold onplot3(x, 100*ones(size(y)), z, 'LineWidth', 2); % project in x-z axis at y=100
plot3(2*ones(size(x)), y, z, 'LineWidth', 2); % project in y-z axis at x=2
plot3(x, y, -2*ones(size(x)), 'LineWidth', 2); % project in y-z axis at z=-2
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