2009
DOI: 10.1364/ao.48.004774
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Fringe projection with a sinusoidal phase grating

Abstract: Phase-shifting profilometry requires projection of sinusoidal fringes on a 3D object. We analyze the visibility and frequency content of fringes created by a sinusoidal phase grating at coherent illumination. We derive an expression for the intensity of fringes in the Fresnel zone and measure their visibility and frequency content for a grating that has been interferometrically recorded on a holographic plate. Both evaluation of the systematic errors due to the presence of higher harmonics by simulation of a p… Show more

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Cited by 27 publications
(5 citation statements)
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“…Figure 1 illustrates the fringe projection technique diagram in which a sinusoidal grating is projected onto the surface of object through a grating projector. 15 In Fig. 1, P is the centre of the projector's exit pupil, I is the centre of the camera lens entrance pupil, w is the distance from both P and I and L is the distance from both P and the reference plane.…”
Section: Measurement Principlesmentioning
confidence: 99%
See 3 more Smart Citations
“…Figure 1 illustrates the fringe projection technique diagram in which a sinusoidal grating is projected onto the surface of object through a grating projector. 15 In Fig. 1, P is the centre of the projector's exit pupil, I is the centre of the camera lens entrance pupil, w is the distance from both P and I and L is the distance from both P and the reference plane.…”
Section: Measurement Principlesmentioning
confidence: 99%
“…Figure 1 illustrates the fringe projection technique diagram in which a sinusoidal grating is projected onto the surface of object through a grating projector. 15…”
Section: Measurement Principlesmentioning
confidence: 99%
See 2 more Smart Citations
“…These effects have been used in many applications, which include periodic pattern projection [12][13][14], optical shearing interferometry [15][16][17][18][19], array illuminators [20,21], X-ray interferometry [22][23][24], and matter-wave interferometry [25]. These applications will become more important because fabrication techniques of micro-elements including gratings are making much progress.…”
Section: Introductionmentioning
confidence: 99%