In terms of the perspective projection camera model, two things occur simultaneously during a dolly zoom sequence: the camera moves along the z-axis, and the focal distance of the camera changes. The distance moved and the change of focal length are carefully chosen so that the projection of objects at a predefined distance remain at the same image position. Objects at all other distances move relative to one another. A photographer wants to capture two images of a scene captured at either end of a dolly zoom, such that the image positions of points in the world at a distance of α cm relative to the camera that took the first image remain the same. The first image is captured with a focal length of β cm. To capture the second image, the camera was moved γ cm along the z-axis in the negative direction. What focal length should be used to capture the second image to successfully perform the dolly zoom.
In terms of the perspective projection camera model, two things occur simultaneously during a dolly zoom sequence: the camera moves along the z-axis, and the focal distance of the camera changes. The distance moved and the change of focal length are carefully chosen so that the projection of objects at a predefined distance remain at the same image position. Objects at all other distances move relative to one another. A photographer wants to capture two images of a scene captured at either end of a dolly zoom, such that the image positions of points in the world at a distance of α cm relative to the camera that took the first image remain the same. The first image is captured with a focal length of β cm. To capture the second image, the camera was moved γ cm along the z-axis in the negative direction. What focal length should be used to capture the second image to successfully perform the dolly zoom.
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