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How to generate 3d image from a single 2d image using backprojection of pixels

I have a 2d binary image of segmented lanes i want to create a point cloud of this image. I do not understand the math of using a pinhole camera model to pixel back projection in 3d. Can you please help me convert this image to point cloud where im assuming a flat plane and projecting the pixels on it. On many sources i noticed everyone is suggesting me to this method so please help me with it.