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In this paper, we first describe our approach to measuring the shape of diffuse and specular surfaces, and then we extend the method to measuring the shape of glossy surfaces by using stereo cameras and projector-display. Existing methods using a projector or display usually assume a perfectly diffuse or specular surface for estimating the 3D shape of the objects. We develop a hybrid method for estimating the 3D shape of glossy surfaces that incorporates both diffuse and specular components by combining a projector with a display. In addition, we propose the phase reliability evaluation in phase-shifting method for combining the matching cost functions of projector-display.