Calibration method for multibeam projector using arbitrarily projected points

The authors describe a calibration method for a multibeam projector projecting beams of light in several directions from one point at the same time. If for each beam of light two or more projected points are measured, and then the three-dimensional position of the projected points can be represented on the same coordinate axis system, then finding the orientation of the beams of light by linking the points should be easy. There are many limitations to achieving this, such as the need for precise, dedicated measurement equipment. In this paper, the authors show that the calculations are possible even when the projected points are measured separately and on arbitrary coordinate systems, and when the relative relationship among the coordinate systems is unknown. As a result, the dedicated measurement equipment mentioned above is no longer necessary. In particular, the authors consider the calibration problem when there are four or more beams of light and projection is performed three times. They show that by using virtual points in an infinite position on the surface, the answer can be found algebraically. © 2005 Wiley Periodicals, Inc. Syst Comp Jpn, 36(12): 97–109, 2005; Published online in Wiley InterScience (). DOI 10.1002sscj.10572