Abstract

Fringe projection profilometry is a well-known technique to digitize 3-dimensional (3D) objects and it is widely used in robotic vision and industrial inspection. Probably the single most important problem in single-camera, single-projection profilometry are the shadows and specular reflections generated by the 3D object under analysis. Here a single-camera along with N-fringe-projections is (digital) coherent demodulated in a single-step, solving the shadows and specular reflections problem. Co-phased profilometry coherently phase-demodulates a whole set of N-fringe-pattern perspectives in a single demodulation and unwrapping process. The mathematical theory behind digital co-phasing N-fringe-patterns is mathematically similar to co-phasing a segmented N-mirror telescope.

Highlights

  • Digital fringe projection 3D profilometry continues to be an active research field as can be seen from the references on this paper [1–9]

  • The single most important problem in single-camera, single-projection profilometry are the shadows and specular reflections generated by the 3D object under analysis

  • The single-step co-phased demodulation of N-fringe-patterns taken from N-perspectives minimizes the shadows and specular reflections from the 3D object being digitized

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Summary

Introduction

Digital fringe projection 3D profilometry continues to be an active research field as can be seen from the references on this paper [1–9]. Su et al [5], and Liu et al [6] explore how to integrate N-camera-projector systems which generates N-fringe-patterns from different positions to obtain a single 3D shape measurement. In previous non-coherent integration of N-camera-projector profilometry systems, one must first estimate the fringe-boundaries of the N-digitized fringe-patterns [3,4,5,6,7]. This Ntimes fringe-boundary estimation is followed by N-phase-demodulations, which in turn is followed by N-phase-unwrappings. In this paper we propose to use a single-camera and N-projections directions illuminating the 3D-object These N-fringe-projections minimize the shadows and specular reflecting zones from the 3D-object. After coherently summing N-analytical-signals, just a single unwrapping process is required

Standard single-camera single-projector profilometry
Co-phased profilometry
Demodulated phase-noise considerations in co-phase profilometry
Conclusions
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