Phase shifting algorithms for fringe projection profilometry: A review

Zuo, Chao; Feng, Shijie; Huang, Lei; Tao, Tianyang; Yin, Wei; Chen, Qian

doi:10.1016/j.optlaseng.2018.04.019

Title: Phase shifting algorithms for fringe projection profilometry: A review

Abstract

The principle of structured light and triangulation is used in a wide range of 3D optical metrology applications, such as mechanical engineering, industrial monitoring, computer vision, and biomedicine. Among a multitude of techniques based on this principle, phase shifting pro lometry (PSP) plays a dominant role due to its high attainable measurement accuracy, spatial resolution, and data density. Over the past few decades, many PSP algorithms have been proposed in the literature in order to achieve higher measurement accuracy, lower pattern count, and/or better robustness to different error sources. Besides, many unconventional PSP codification techniques address the problem of absolute phase recovery with few projected patterns, allowing for high-efficiency measurement of objects containing isolated regions or surface discontinuities. In this paper, we present an overview of these state-of-the-art phase shifting algorithms for implementing 3D surface pro lometry. Typical error sources in phase measure- ment for a phase shifting system are discussed, and corresponding solutions are reviewed. The advantages and drawbacks of different PSP algorithms are also summarized to provide a useful guide to the selection of the most appropriate phase shifting technique for a particular application.

Authors:

Zuo, Chao ^[1]; Feng, Shijie ^[1]; Huang, Lei ^[2]; Tao, Tianyang ^[1]; Yin, Wei ^[1]; Chen, Qian ^[1]

Nanjing Univ. of Science and Technology (China)
Brookhaven National Lab. (BNL), Upton, NY (United States)

Publication Date:: Tue May 15 00:00:00 EDT 2018

Research Org.:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1469785

Report Number(s):: BNL-209027-2018-JAAM
Journal ID: ISSN 0143-8166

Grant/Contract Number:: SC0012704

Resource Type:: Accepted Manuscript

Journal Name:: Optics and Lasers in Engineering

Additional Journal Information:: Journal Volume: 109; Journal Issue: C; Journal ID: ISSN 0143-8166

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE

Citation Formats


                    Zuo, Chao, Feng, Shijie, Huang, Lei, Tao, Tianyang, Yin, Wei, and Chen, Qian. Phase shifting algorithms for fringe projection profilometry: A review.  United States: N. p., 2018. 
Web.  doi:10.1016/j.optlaseng.2018.04.019.

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                    Zuo, Chao, Feng, Shijie, Huang, Lei, Tao, Tianyang, Yin, Wei, & Chen, Qian. Phase shifting algorithms for fringe projection profilometry: A review.  United States.  https://doi.org/10.1016/j.optlaseng.2018.04.019

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                    Zuo, Chao, Feng, Shijie, Huang, Lei, Tao, Tianyang, Yin, Wei, and Chen, Qian. Tue .  
"Phase shifting algorithms for fringe projection profilometry: A review".  United States.  https://doi.org/10.1016/j.optlaseng.2018.04.019.  https://www.osti.gov/servlets/purl/1469785.

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@article{osti_1469785,

  title        = {Phase shifting algorithms for fringe projection profilometry: A review},

  author       = {Zuo, Chao and Feng, Shijie and Huang, Lei and Tao, Tianyang and Yin, Wei and Chen, Qian},

  abstractNote = {The principle of structured light and triangulation is used in a wide range of 3D optical metrology applications, such as mechanical engineering, industrial monitoring, computer vision, and biomedicine. Among a multitude of techniques based on this principle, phase shifting pro lometry (PSP) plays a dominant role due to its high attainable measurement accuracy, spatial resolution, and data density. Over the past few decades, many PSP algorithms have been proposed in the literature in order to achieve higher measurement accuracy, lower pattern count, and/or better robustness to different error sources. Besides, many unconventional PSP codification techniques address the problem of absolute phase recovery with few projected patterns, allowing for high-efficiency measurement of objects containing isolated regions or surface discontinuities. In this paper, we present an overview of these state-of-the-art phase shifting algorithms for implementing 3D surface pro lometry. Typical error sources in phase measure- ment for a phase shifting system are discussed, and corresponding solutions are reviewed. The advantages and drawbacks of different PSP algorithms are also summarized to provide a useful guide to the selection of the most appropriate phase shifting technique for a particular application.},

  doi          = {10.1016/j.optlaseng.2018.04.019},

  journal      = {Optics and Lasers in Engineering},

  number       = C,

  volume       = 109,

  place        = {United States},

  year         = {Tue May 15 00:00:00 EDT 2018},

  month        = {Tue May 15 00:00:00 EDT 2018}

}

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Title: Phase shifting algorithms for fringe projection profilometry: A review

Abstract

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Automated phase-measuring profilometry of 3-D diffuse objects journal, January 1984

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Three-dimensional vision based on a combination of gray-code and phase-shift light projection: analysis and compensation of the systematic errors journal, January 1999

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Two-wavelength phase shifting interferometry journal, January 1984

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Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm journal, January 1987

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Rapid prototyping or rapid production? 3D printing processes move industry towards the latter
journal, December 2003

Update in three-dimensional imaging in facial plastic surgery
journal, January 2004

State-of-The-Art and Applications of 3D Imaging Sensors in Industry, Cultural Heritage, Medicine, and Criminal Investigation
journal, January 2009

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journal, November 1999

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journal, February 2007

Lock-in Time-of-Flight (ToF) Cameras: A Survey
journal, September 2011

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journal, January 1992

A New Sense for Depth of Field
journal, July 1987

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journal, January 1994

A geometric approach to shape from defocus
journal, March 2005

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journal, January 1987

Structured-light 3D surface imaging: a tutorial
journal, January 2011

Overview of three-dimensional shape measurement using optical methods
journal, January 2000

Review of 20 years of range sensor development
journal, January 2004

Fringe projection techniques: Whither we are?
journal, February 2010

A state of the art in structured light patterns for surface profilometry
journal, August 2010

Pattern codification strategies in structured light systems
journal, April 2004

Dynamic 3-D shape measurement method: A review
journal, February 2010

Recent progresses on real-time 3D shape measurement using digital fringe projection techniques
journal, February 2010

Review of single-shot 3D shape measurement by phase calculation-based fringe projection techniques
journal, August 2012

Real-time structured light profilometry: a review
journal, December 2016

Optimised De Bruijn patterns for one-shot shape acquisition
journal, August 2005

Range sensing by projecting multiple slits with random cuts
journal, June 1993

A three-level checkerboard pattern (TCP) projection method for curved surface measurement
journal, January 1995

Surface measurement by space-encoded projected beam systems
journal, January 1982

Range imaging with adaptive color structured light
journal, May 1998

Three-dimensional imaging based on Gray-code light projection: characterization of the measuring algorithm and development of a measuring system for industrial applications
journal, January 1997

Rainbow three‐dimensional camera: new concept of high‐speed three‐dimensional vision systems
journal, February 1996

Moiré Topography
journal, January 1970

Generation of Surface Contours by Moiré Patterns
journal, January 1970

Projection moire with moving gratings for automated 3-D topography
journal, January 1983

Projection moire interferometer for vibration analysis
journal, January 1983

Shadow And Projection Moire Techniques For Absolute Or Relative Mapping Of Surface Shapes
journal, August 1982

Shadow moire topography by means of the phase-shift method
journal, January 1993

Shadow moire´ profilometry using the phase-shifting method
journal, August 2000

Computer Aided Moiré Methods
journal, January 1993

Fourier transform profilometry:
journal, May 2001

Windowed Fourier transform for fringe pattern analysis
journal, January 2004

Spatial carrier-fringe pattern analysis by means of wavelet transform: wavelet transform profilometry
journal, January 2004

Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry
journal, February 2010

Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase calculation at discontinuities in fringe projection proﬁlometry
journal, August 2012

Automated phase-measuring profilometry of 3-D diffuse objects
journal, January 1984

Automated 360° profilometry of 3-D diffuse objects
journal, January 1985

Digital Wavefront Measuring Interferometer for Testing Optical Surfaces and Lenses
journal, January 1974

Satellite radar interferometry: Two-dimensional phase unwrapping
journal, July 1988

Reliability-guided phase unwrapping algorithm: a review
journal, September 2004

Two-dimensional phase unwrapping with minimum weighted discontinuity
journal, January 1997

Minimum Lp-norm two-dimensional phase unwrapping
journal, January 1996

A review of phase unwrapping techniques in fringe analysis
journal, January 1994

Comparison of eight unwrapping algorithms applied to Fourier-transform profilometry
journal, February 2008

Phase unwrapping algorithms for radar interferometry: residue-cut, least-squares, and synthesis algorithms
journal, January 1998

Quality-guided phase unwrapping technique: comparison of quality maps and guiding strategies
journal, January 2011

Three-dimensional vision based on a combination of gray-code and phase-shift light projection: analysis and compensation of the systematic errors
journal, January 1999

Temporal phase-unwrapping algorithm for automated interferogram analysis
journal, January 1993

Phase-unwrapping algorithm for the measurement of three-dimensional object shapes
journal, January 1994

Two-wavelength phase shifting interferometry
journal, January 1984

Contouring Aspheric Surfaces Using Two-wavelength Phase-shifting Interferometry
journal, December 1985

Automatic processing of fringe patterns in integer interferometers
journal, January 1991

Recovering the absolute phase maps of two fringe patterns with selected frequencies
journal, January 2011

Algebraic solution for phase unwrapping problems in multiwavelength interferometry
journal, January 2014

Temporal phase unwrapping using orthographic projection
journal, March 2017

Temporal phase unwrapping for fringe projection profilometry aided by recursion of Chebyshev polynomials
journal, January 2017

Temporal phase unwrapping: application to surface profiling of discontinuous objects
journal, January 1997

Optimum frequency selection in multifrequency interferometry
journal, January 2003

Frequency-multiplex Fourier-transform profilometry: a single-shot three-dimensional shape measurement of objects with large height discontinuities and/or surface isolations
journal, January 1997

Phase unwrapping by a lookup table method: application to phase maps with singular points
journal, December 1999

Temporal phase unwrapping algorithms for fringe projection profilometry: A comparative review
journal, October 2016

Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm
journal, January 1987

Improved Fourier transform profilometry for the automatic measurement of 3D object shapes
journal, January 1990

Phase-stepping grating profilometry: utilization of intensity modulation analysis in complex objects evaluation
journal, April 1993

Spatiotemporal phase unwrapping for the measurement of discontinuous objects in dynamic fringe-projection phase-shifting profilometry
journal, January 1999

Spatiotemporal phase unwrapping and its application in fringe projection fiber optic phase-shifting profilometry
journal, July 2000

Double three-step phase-shifting algorithm
journal, January 2002

Microscopic phase-shifting profilometry based on digital micromirror device technology
journal, January 2002

Phase-measuring profilometry of moving object without phase-shifting device
journal, September 2003

Trapezoidal phase-shifting method for three-dimensional shape measurement
journal, December 2005

Fast three-step phase-shifting algorithm
journal, January 2006

Two-step phase-shifting interferometry and its application in image encryption
journal, January 2006

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journal, January 2006

Intensity-ratio error compensation for triangular-pattern phase-shifting profilometry
journal, January 2007