Abstract

Multi-wavelength digital-phase-shifting moiré was demonstrated using multiple moiré wavelengths determined by system calibration over the full working depth. The method uses the extended noisy phase map as a reference to unwrap the phase map with a shorter wavelength, and thus achieve a less noisy and more accurate continuous phase map. The moiré wavelength calibration determines a moiré-wavelength to height relationship that permits pixelwise refinement of the moiré wavelength and height during 3D reconstruction. Only a single pattern has to be projected and, thus, a single image captured to compute each phase map with a different wavelength to perform digital-phase-shifting moiré temporal phase unwrapping. Only two captured images are required for two-wavelength phase unwrapping and three captured images for three-wavelength phase unwrapping. The method has been demonstrated in the 3D surface-shape measurement of an object with surface discontinuities and spatially isolated objects.

Highlights

  • Fringe projection profilometry (FPP) [1] is commonly used for full-field non-contact surface-shape measurement for a wide range of applications

  • In spatial phase unwrapping [5,6], phase unwrapping at each pixel is computed based on phase values at adjacent pixels; phase errors can occur at surfaces with geometric discontinuities or spatially isolated surfaces [7], and the error can propagate across pixels

  • This paper combines heterodyne multi-wavelength temporal phase unwrapping and digital moiré in a new method of multi-wavelength digital-phase-shifting moiré based on moiré wavelength

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Summary

Introduction

Fringe projection profilometry (FPP) [1] is commonly used for full-field non-contact surface-shape measurement for a wide range of applications. Phase-shifting profilometry (PSP) [2] has been commonly used because of its high accuracy, high spatial resolution, and low sensitivity to variations of background intensity and surface reflectivity [2,3]. In PSP, typically three or four phase-shifted sinusoidal patterns are projected onto a surface and camera captured images of the deformed patterns are used to compute a phase map, which contains surface-height information. In spatial phase unwrapping [5,6], phase unwrapping at each pixel is computed based on phase values at adjacent pixels; phase errors can occur at surfaces with geometric discontinuities or spatially isolated surfaces [7], and the error can propagate across pixels. Multiple wrapped phase maps of different fringe frequencies or wavelengths are required.

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