Calibration-based phase-shifting projected fringe profilometry for accurate absolute 3D surface profile measurement

Liu, Hongyu; Su, Wei Hung; Reichard, Karl; Yin, Shizhuo

doi:10.1016/s0030-4018(02)02290-3

Cited by 141 publications

(71 citation statements)

References 10 publications

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“…The LUT contains the related coefficients that appear in the phase-to-height relationship for each pixel. In this method, the height for each pixel is obtained as a fractional equation or a polynomial equation of the phase value [11][12][13][14]:…”

Section: Phase-to-height Relationship By Lutmentioning

confidence: 99%

“…A typical 3-D measurement system based on a fringe pattern projection (FPP) system [2][3][4][5][6][7][8][9][10][11][12][13][14] is constructed using a white light projector and a charge-coupled device (CCD) camera. The projector projects sinusoidal fringe patterns onto an object, and the CCD camera acquires the patterns that are deformed by the object's shape.…”

Section: Introductionmentioning

confidence: 99%

“…The third method uses a simple look-up table (LUT) containing the relationship between phase values and heights for each camera pixel [11][12][13][14]. The LUT method obtains the phase-to-height relationship for each pixel without any geometric analysis and then stores the information in the LUT, which it uses to measure the height.…”

Section: Introductionmentioning

confidence: 99%

“…It is possible to obtain the exact model including all lens distortion of the camera or the projector with this method, but there are as many modeling functions as there are camera pixels. Liu et al [11] expressed the height as a fifth order polynomial function of the phase at each pixel to consider all lens distortion and measured the related phases for 21 different heights. When the parameters were determined by the LSM, the modeling results were very good.…”

Section: Introductionmentioning

confidence: 99%

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Improved least-squares method for phase-to-height relationship in fringe projection profilometry

Chung

2016

J. Eur. Opt. Soc.-Rapid Publ.

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Background: The height estimating function is very important for three-dimensional (3-D) measurement systems based on a digital light processing (DLP) projector and a camera. Sinusoidal fringe patterns of the projector are projected onto an object, and the phase of the measuring point is calculated from the camera image. Generally, the least-squares method (LSM) and look-up table(LUT) method are typically used to obtain the phase-to-height relationship.

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Section: Phase-to-height Relationship By Lutmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Improved least-squares method for phase-to-height relationship in fringe projection profilometry

Chung

2016

J. Eur. Opt. Soc.-Rapid Publ.

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“…Empirical calibration methods are generally performed by capturing a series of fringe patterns for a flat surface that is placed at different known depths (d 0 , d 1 ,…,d n ), and then a direct phaseto-depth relationship is established, usually using polynomial fitting [10], or interpolation [11].…”

Section: Introductionmentioning

confidence: 99%

Simple and accurate empirical absolute volume calibration of a multi-sensor fringe projection system

Gdeisat

Qudeisat

AlSa׳d

et al. 2016

Optics and Lasers in Engineering

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This paper suggests a novel absolute empirical calibration method for a multi-sensor fringe projection system. The optical setup of the projector-camera sensor can be arbitrary. The term absolute calibration here means that the centre of the three dimensional coordinates in the resultant calibrated volume coincides with a preset centre to the three-dimensional real-world coordinate system. The use of a zero-phase fringe marking spot is proposed to increase depth calibration accuracy, where the spot centre is determined with sub-pixel accuracy. Also, a new method is proposed for transversal calibration. Depth and transversal calibration methods have been tested using both single sensor and three-sensor fringe projection systems. The standard deviation of the error produced by this system is 0.25 mm. The calibrated volume produced by this method is 400 mm × 400 mm × 140 mm.

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Accurate integration of segmented 3D profile measurements using digital 2D fringe projection

Hsu

et al. 2008

Micro & Optical Tech Letters

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An improved integration approach for segmented 3D shapes using projected digitalized 2D pattern is presented. The digital 2D patterns are fabricated based on lithography techniques. Geometrical accuracy better than 0.5 μm can be achieved. Contrast ratio of the fringe pattern can be precisely controlled as well. With this pattern, integrated accuracy better than one part in one hundredth of the pixel size can be achieved. © 2008 Wiley Periodicals, Inc. Microwave Opt Technol Lett 50: 2474–2480, 2008; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.23667

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Calibration-based phase-shifting projected fringe profilometry for accurate absolute 3D surface profile measurement

Cited by 141 publications

References 10 publications

Improved least-squares method for phase-to-height relationship in fringe projection profilometry

Improved least-squares method for phase-to-height relationship in fringe projection profilometry

Simple and accurate empirical absolute volume calibration of a multi-sensor fringe projection system

Accurate integration of segmented 3D profile measurements using digital 2D fringe projection

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