Analytical mapping of linear walk from infinite virtual space to finite real space

Abstract

This paper presents a framework for natural traversal of an infinite virtual path using a camera-projector augmented-reality system. In the proposed framework this problem is formulated as an optimization problem using an energy function that is based on several user-experience factors as well as topological constraints in the real and virtual space. The solution is analytically derived by minimizing the cost function with respect to the parameters of the path in the real and virtual space. The obtained optimal path has the form of a zigzag curve and is demonstrated in an interactive application for delivering stimulating slide-show presentations for on-line learning.