[Paper] Estimation of the 3D Shape of an Ellipsoidal Aerial Image by Use of Axis Length Ratios Measured by Hand Tracking

Abstract

This study demonstrates that the system for estimating the 3D shape of a convex aerial image can be implemented by use of a hand-tracking device, the Leap Motion Controller 2. In the formation of 3D aerial images based on Aerial Imaging by Retro-Reflection (AIRR), when assuming a perfectly spherical screen during image projection, distortions and degradation of interaction accuracy are caused if the actual screen is elliptical. Whenever the screen shape changes due to replacement or aging, the shape must be remeasured. In this study, the observer points to five positions on the aerial image: the center, the top, the bottom, the left, and the right edge, which are captured by the Leap Motion, and the principal axis lengths are easily and cost-effectively estimated as 3D shape. The estimated lengths of the principal axis of the aerial image closely matched those of the actual screen obtained from photographic measurements.