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And after you've seen the next slide, why does it make sense to transform the representation of scene points into a coordinate system where the camera is aligned with the z axis?


We have the camera aligned with the z axis because we use the z coordinate to do the homogenous divide. This makes sense because an object's depth or distance from the viewer should determine how we want to scale its x an y values. As objects move farther away, z gets larger and we divide x and y by a larger values, making the projected object smaller.