Wiggle stereoscopy is an example of stereoscopy in which left and right images of a stereogram are animated. This technique is also called wiggle 3-D, wobble 3-D, or sometimes Piku-Piku (Japanese for “twitching”).
The sense of depth from such images is due to parallax and to changes to the occlusion of background objects. In contrast to other stereo display techniques, the same image is presented to both eyes. [More info]
HOW IT WORKS
The sense of depth from wiggle 3-D images is due to parallax and to changes to the occlusion of background objects.
Although wiggle stereoscopy permits the perception of stereoscopic images, it is not a “true” three-dimensional stereoscopic display format in the sense that wiggle stereoscopy does not present the eyes with their own separate view each.
The apparent stereo effect results from syncing the timing of the wiggle and the amount of parallax to the processing done by the visual cortex. Three or five images with good parallax may produce a better effect than simple left and right images.
Wiggling works for the same reason that a transitional pan (or tracking shot) in a film provides good depth information: the visual cortex is able to infer distance information from motion parallax, the relative speed of the perceived motion of different objects on the screen. Many small animals bob their heads to create motion parallax (wiggling) so they can better estimate distance prior to jumping.
MORE ADVANCED
With advances in machine learning and computer vision it is now also possible to recreate this effect using a single monocular image as an input.
In this case one can use a segmentation model combined with a depth estimation model to estimate information relating to the distance of the surfaces of objects in the scene from a given viewpoint for every pixel in that image (known as a depth map), and with that information you can then render that pixel data as if it were 3 dimensional to create a subtle 3D effect.