Three-dimensional object recognition using two-dimensional complex amplitude including three-dimensional shape information

The fringe pattern correlator (FPC) can recognize 3D objects using a height transformed complex amplitude as 3D information. The height transformed complex amplitude is a two-dimensional (2D) complex amplitude whose phase factor includes actual height information of 3D objects. The FPC can perform effective 3D correlation using 2D correlation with the height transformed complex amplitude. In this study, we describe the effect of the amplitude factor of the height transformed complex amplitude in the FPC. The amplitude factor represents contrast information of the projected grating on the object, which corresponds to the reflectance property depending on 3D shape. We classify the amplitude factor by the 3D shape (flat surface, slope, edge, large step) and other factor (illumination condition, shadow, random pattern). We present the recognition characteristics with respect to the amplitude factor.