Abstract

A new 3-D reconstruction algorithm for the human face is proposed using the derivative Moir<TEX>$\acute{e}$</TEX> topography which ensures fast and robust reconstruction even for rough surfaces. The Moir<TEX>$\acute{e}$</TEX> interference fringe pattern is initially obtained through the projection Moir<TEX>$\acute{e}$</TEX> topography based on phase shifting, and then differentiated to provide a full unwrapped phase map for a human face. <TEX>$2{\pi}$</TEX> ambiguity, which has been a chronically unsolved problem with Moir<TEX>$\acute{e}$</TEX> topography, is successfully surmounted by differentiating the Moir<TEX>$\acute{e}$</TEX> fringe patterns both in x- and y-directions when the object is located in the x-y plane. A real human face is used for verifying the proposed derivative Moir<TEX>$\acute{e}$</TEX> topography. A human face of 4 different phase-shifted images taken in the fixed plane is almost fully reconstructed in 3-D format in 0.1 mm lateral resolution.

© 2014 Optical Society of Korea

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