A simple, flexible and automatic 3D calibration method for a phase calculation-based fringe projection imaging system

Zhang, Zonghua; Huang, Shujun; Meng, Shasha; Gao, Feng; Jiang, Xiangqian

doi:10.1364/oe.21.012218

Cited by 107 publications

(39 citation statements)

References 15 publications

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“…In the following work, 3D calibration will be carried out to establish the relationship between 3D data and phase maps [18,19]. Another direction is to use composite color fringe projection techniques to reduce the acquisition time.…”

Section: Resultsmentioning

confidence: 99%

The research of 3D small-field imaging system based on fringe projection technique

Huang

Zhang

et al. 2014

SPIE Proceedings

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This paper presents a 3D small-field imaging system by using the color fringe projection technique to measure the small objects having large slopes and/or discontinuous surface. A stereo microscope is used to generate a small-field projecting field and to capture the deformed fringe patterns on the measured small objects, respectively. Three fringe sets having the optimum fringe numbers are coded into one major color channel to generate color fringe patterns having the maximum fringe contrast of the captured fringe images. Through one channel of the stereo microscope, a DLP (Digital Light Processing) projector projects these generated color fringe pattern images onto the measured objects surface. From another channel, the fringe patterns are deformed with regard to the object surface and captured by a color CCD camera. The absolute phase of each pixel can be calculated from the captured fringe patterns by using the optimum three-fringe numbers selection method. Experimental results on measuring 3D shape of small objects show the accuracy and availability of the developed 3D imaging system.

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Section: Resultsmentioning

confidence: 99%

The research of 3D small-field imaging system based on fringe projection technique

Huang

Zhang

et al. 2014

SPIE Proceedings

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“…Figure 5 demonstrates partial processed markers on the mirror M2. Because the distance between neighboring ring markers is known beforehand, the external parameters R and T of M2 can be obtained in the camera coordinate system [18]. R and T refer to the rotation matrix and translating vector.…”

Section: Calibration Of Dmentioning

confidence: 99%

Full-field 3D shape measurement of specular surfaces by direct phase to depth relationship

et al. 2016

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This paper presents a new Phase Measuring Deflectometry (PMD) method to measure specular object having discontinuous surfaces. A mathematical model is established to directly relate absolute phase and depth, instead of phase and gradient. Based on the model, a hardware measuring system has been set up, which consists of a beam splitter to change the optical path, and two LCD screens to display the same sinusoidal fringe patterns. By using model-based and machine vision method, system calibration is accomplished to provide the required parameters and conditions. The verification tests are given to evaluate the effectiveness of the developed system. The 3D shape of an artificial step having multiple specular surfaces and a concave mirror has been measured. Initial experimental results show that the proposed measurement method can obtain 3D shape of specular objects with discontinuous surface effectively.

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“…(1), it is possible to calibrate a projector by a plate having discrete markers on the surface provided the corresponding projector pixel coordinate of each marker can be accurately determined in the projector pixel coordinate system. A white plate with a scattered surface was designed and manufactured for projector calibration [3]. There are 9x12 discrete black hollow ring markers on the surface, as illustrated in Fig.…”

Section: Relationship Establishment Of a Projector And A Cameramentioning

confidence: 99%

“…3D calibration of these systems is an important step to obtain the accurate shape data [2,3]. In actual applications, most off-the-shelf DLP projectors are made for lecture presentation and have significant lens distortion due to nonlinear factors which cannot be compensated by the classical pinhole camera model [4].…”

Section: Introductionmentioning

confidence: 99%

Projector calibration method based on optical coaxial camera

et al. 2014

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This paper presents a novel method to accurately calibrate a DLP projector by using an optical coaxial camera to capture the needed images. A plate beam splitter is used to make imaging axis of the CCD camera and projecting axis of the DLP projector coaxial, so the DLP projector can be treated as a true inverse camera. A plate having discrete markers on the surface will be designed and manufactured to calibrate the DLP projector. By projecting vertical and horizontal sinusoidal fringe patterns on the plate surface from the projector, the absolute phase of each marker's center can be obtained. The corresponding projector pixel coordinate of each marker is determined from the obtained absolute phase. The internal and external parameters of the DLP projector are calibrated by the corresponding point pair between the projector coordinate and the world coordinate of discrete markers. Experimental results show that the proposed method accurately obtains the parameters of the DLP projector. One advantage of the method is the calibrated internal and external parameters have high accuracy because of uncalibrating the camera. The other is the optical coaxes geometry gives a true inverse camera, so the calibrated parameters are more accurate than that of crossed-optical-axes, especially the principal points and the radial distortion coefficients of the projector lens.

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A simple, flexible and automatic 3D calibration method for a phase calculation-based fringe projection imaging system

Cited by 107 publications

References 15 publications

The research of 3D small-field imaging system based on fringe projection technique

The research of 3D small-field imaging system based on fringe projection technique

Full-field 3D shape measurement of specular surfaces by direct phase to depth relationship

Projector calibration method based on optical coaxial camera

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