For some time I have created a number of large three− dimensional objects that can be rolled on a flat surface. These objects are made out of stainless steel pipes and designed from the point of view of the plastic arts. Viewers can touch and move the objects while appreciating changes in visual appearance.
One of these objects, entitled “Two−Circle−Roller” is contains two connected disks ; another is a half−disk entitled “Sphericon.” In recent years I have altered the shape of such objects by changing circular arcs to elliptical ones. These objects still move smoothly across a flat surface.
I am exploring the possibilities of changing centers of gravity of objects of a constant height resulting from elliptical arcs. By creating these objects I have also succeeded in demonstrating that their actual production is possible.
In this paper, we present a method which uses the trajectories of an object moving on a physical plane and simultaneously calibrates multiple cameras. This method can be useful for stereo visions and an intelligent multi-camera monitoring system. It is assumed that the extrinsic parameters of one camera are calibrated and the intrinsic parameters of each camera are known. Two approaches are introduced. One uses the projection among the image coordinates of the cameras, and the other handles the relation among cameras’ image coordinates and the world coordinate. The results obtained by these two approaches are compared with the result presented by the standard method and their utility is examined.