Multiview 3D profilometry using resonance-based decomposition and three-phase shift profilometry

Abstract

In this paper a one-shot method to determine the shape of an object from overlapping cosine fringes projected from multiple projectors is presented. This overcomes the limitation with single projector systems that do not allow imaging the entire object with a single shot. This research projects orthogonal grey scale sinusoidal fringes simultaneously onto an object and separates them using resonance decomposition. Resonance decomposition is a method that separates signals based on the idea of resonance, whether or not a signal exhibits a high degree of sustained oscillation, and can separate high and low resonance components of a signal even if they overlap in the frequency domain. In addition to pattern separation a novel method of phase error compensation is proposed using the mean value for each period ranging from [–π,π] as the basis for a look up table (LUT). It is shown that this method of error compensation is able to reduce the error caused by non-sinusoidal waveforms to a level comparable to the single view 3-phase shift profilometry method.