&lt;title&gt;Absolute measurement of surface profiles with phase-shifting projected fringe profilometry&lt;/title&gt;

Liu, Hongyu; Bard, Benjamin A.; Lu, Guoqiang; Wu, Shudong

doi:10.1117/12.369194

Cited by 7 publications

(5 citation statements)

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“…The phase maps of the gauge are measured at the different depth, in which the phase distributions of whole plane can be obtained by least-square fitting to the phases in the white squares according to the theoretical distribution function Eq. (12). The phase distribution at the depth 0 = z is used as reference.…”

Section: Lateral Calibrationmentioning

confidence: 99%

“…To perform the tough job, many calibration methods have been developed, such as the direct mapping algorithm 4,5 , unified calibration techniques 6 , polynomial fitting or interpolation 7,8 , application of neural networks 9,10 , determination of the system parameters by a conversion algorithm 11 , and others 12,13 . Since there are three coordinates, i.e.…”

Section: Introductionmentioning

confidence: 99%

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<title>Novel calibration method for 3-D measurement system based on fringe projection</title>

Chen

Guo

2005

SPIE Proceedings

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A novel calibration method for fringe projection 3-D measurement system is presented. To get the data serving the calibration, a calibration gauge with white-black checker pattern is transferred to different positions with known depths. At each position, the phase values in the black squares are regarded as invalid data for their lower modulation, and the phase distribution of the whole calibration gauge is obtained by the least-square fitting to the phases in the white squares according to the theoretical distribution function. The phase-to-depth and pixel to lateral coordinate mapping relationship are simultaneously calibrated. The validityof the proposed method is demonstrated by experimental results.

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Section: Lateral Calibrationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

<title>Novel calibration method for 3-D measurement system based on fringe projection</title>

Chen

Guo

2005

SPIE Proceedings

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“…, the coordinates of the point A can be calculated as (11) and the coordinates of the point B are ) , , ( …”

Section: Fig 2 Geometry Of Fringe Projection Systemmentioning

confidence: 99%

“…The key problem is how to accurately estimate the related parameters from the measurement results, which maybe suffer from noise and other error-inducing factors, to establish a function representing the mapping relationship. To perform this task, several techniques [9][10][11][12][13] have been used previously with some success and limitations. Typically, the polynomials determined by least squares fitting to the measurement data are often utilized to approximate the mapping functions 13 .…”

Section: Introductionmentioning

confidence: 99%

A least squares calibration method for fringe projection profilometry

Guo

et al. 2004

SPIE Proceedings

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This paper presents a novel least squares calibration approach for fringe projection profilometry. This approach is based on a simple nonlinear function, which is deduced by analyzing the geometry of measurement system and perfectly describes the mapping relationship between the depth map and phase distribution. The calibration is implemented by translating a target plane to a sequence of given positions with known depths, and measuring its phase distributions.Based on least squares estimation, an algorithm with linear computation is deduced to retrieve the related parameters, by which the burden of computational complexity is effectively alleviated. In experiment, a plaster statue is measured to demonstrate the validity of the principle.

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“…The key for structured light system calibration is the phase-height relationship establishment [11][12][13]. In order to perform measurement with higher precision, some researchers proposed 3D mathematic models [14,15].…”

Section: Introductionmentioning

confidence: 99%

Convenient Calibration Procedure for Structured Light Projection System

Duan

2013

AMR

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We present a convenient calibration method for structured light projection system. The proposed clibration approach can realize 3D shape measurement without projector calibration, without system calibration, without precise linear z stage to be used, the relative position between camera and projector can be arbitrary, and the only involved device is a plane board. Experiment results validated that the accuracy of the proposed approach.

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<title>Absolute measurement of surface profiles with phase-shifting projected fringe profilometry</title>

Cited by 7 publications

References 0 publications

<title>Novel calibration method for 3-D measurement system based on fringe projection</title>

<title>Novel calibration method for 3-D measurement system based on fringe projection</title>

A least squares calibration method for fringe projection profilometry

Convenient Calibration Procedure for Structured Light Projection System

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