Optimized space sampling for circular image cube trajectory analysis

Image Cube Trajectory (ICT) analysis is a new and efficient method to estimate the 3D structure of a scene from a set of 2D images. The motion of points in 3D space is represented by trajectories in image cube. The big advantage of this method is that the motion information of a single 3D point can be represented and analyzed for all available image frames simultaneously. ICT analysis is based on the definition of an occlusion compatible search strategy in the image cube for known parametrized camera setups. In this paper we will derive rules for a resolution optimized and computational efficient image cube search strategy which is based on an optimized sampling of the considered 3D space. The rules can be applied as well to other 3D reconstruction approaches. We will restrict our discussion to a circular moving camera.