Multiple-step triangular-pattern phase shifting and the influence of number of steps and pitch on measurement accuracy

Jia, Peirong; Kofman, Jonathan; English, Chad

doi:10.1364/ao.46.003253

Cited by 42 publications

(30 citation statements)

References 10 publications

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“…Phase error compensation methods have been developed to solve this problem [26] [27] for real-time measurement systems. It has also been reported that the phase error caused by the projectors' non-linearity can be reduced by increasing the phase shifting step number [28], while the drawback is that the measurement time increases accordingly. In order to simplify phase error correction algorithms and meanwhile to maintain the surface accuracy, we increase the fringe pattern number.…”

Section: B Selection Of Phase Shifting Step Numbermentioning

confidence: 99%

3D mouse shape reconstruction based on phase-shifting algorithm for fluorescence molecular tomography imaging system

et al. 2015

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We introduce a fast, low cost, and robust method, based on fringe pattern and phase shifting, to obtain three-dimensional (3D) mouse surface geometry for fluorescence molecular tomography (FMT) imaging. We use two pairs of pico-projector and webcam to project and capture fringe patterns from different views. At first, we calibrate the pico-projectors and the webcams to obtain their system parameters. Each pair of pico-projector and webcam has its own coordinate system. We use a cylindrical calibration bar to calculate the transformation matrix between these two coordinate systems. After that, the pico-projectors project nine fringe patterns with a phase shifting step of 2π/9 onto the surface of a mouse shaped phantom. The deformed fringe patterns are captured by the corresponding webcam respectively, and then are used to construct two phase maps that are converted to two 3D surfaces composed of scattered points. The two 3D point clouds are further merged into one with the transformation matrix. The surface extraction process takes less than 30 seconds. Finally, we apply the Digiwarp method to warp a standard Digimouse into the measured surface. The proposed method can reconstruct the surface of a mouse size object with an accuracy of 0.5 mm, which is sufficient to obtain a finite element mesh for FMT imaging. An FMT experiment of a mouse shaped phantom with one embedded fluorescence capillary target is performed. With the warped finite element mesh, we reconstruct the target successfully, which validates our surface extraction approach.

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Section: B Selection Of Phase Shifting Step Numbermentioning

confidence: 99%

3D mouse shape reconstruction based on phase-shifting algorithm for fluorescence molecular tomography imaging system

et al. 2015

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“…But in the co-prime coding-pitch must be odd, and the accuracy of wrapped coordinate under odd coding-pitch is lower than the even coding-pitch [14]. In addition to the odd or even number coding-pitch, the amount of pixels including in one pitch for triangular pattern should be multiple of three.…”

Section: Optimum Coding-pitch Selection In Unwrapping Algorithm Basedmentioning

confidence: 99%

A Novel Three Coding-pitches Triangular Patterns Phase-shifting Profilometry based on Modified Sunzi Theorem

Wang¹,

Yu²,

Wu³

et al. 2014

IJSIP

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“…[17][18][19] Among these approaches, the one referred to as inverse function-based shift estimation (IFSE) 19 is particularly interesting. Wu et al 24 improved this method by combining IFSE with the multiple-step triangular-pattern phase shifting algorithm, 25 which greatly improved the accuracy of the measurement.…”

Section: Spatial Shift Estimation-based Fringe Patternmentioning

confidence: 99%

Spatial shift unwrapping for digital fringe profilometry based on spatial shift estimation

Cao

et al. 2014

J. Electron. Imaging

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An approach is presented to solve the problem of spatial shift wrapping associated with spatial shift estimation-based fringe pattern profilometry (FPP). This problem arises as the result of fringe reuses (that is, use of fringes with periodic light intensity variance), and the spatial shift can only be identified without ambiguity within the range of a fringe width. It is demonstrated that the problem is similar to the phase unwrapping problem associated with the phase-detection-based FPP, and the proposed method is inspired by the existing ideas of using multiple images with different wavelengths proposed for phase unwrapping. The effectiveness of the proposed method is verified by comparing experimental results against several objects, with the last object consisting of more complex surface features. We conclude by showing that our method is successful in reconstructing the fine details of the more complex object. Abstract. An approach is presented to solve the problem of spatial shift wrapping associated with spatial shift estimation-based fringe pattern profilometry (FPP). This problem arises as the result of fringe reuses (that is, use of fringes with periodic light intensity variance), and the spatial shift can only be identified without ambiguity within the range of a fringe width. It is demonstrated that the problem is similar to the phase unwrapping problem associated with the phase-detection-based FPP, and the proposed method is inspired by the existing ideas of using multiple images with different wavelengths proposed for phase unwrapping. The effectiveness of the proposed method is verified by comparing experimental results against several objects, with the last object consisting of more complex surface features. We conclude by showing that our method is successful in reconstructing the fine details of the more complex object.

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Multiple-step triangular-pattern phase shifting and the influence of number of steps and pitch on measurement accuracy

Cited by 42 publications

References 10 publications

3D mouse shape reconstruction based on phase-shifting algorithm for fluorescence molecular tomography imaging system

3D mouse shape reconstruction based on phase-shifting algorithm for fluorescence molecular tomography imaging system

A Novel Three Coding-pitches Triangular Patterns Phase-shifting Profilometry based on Modified Sunzi Theorem

Spatial shift unwrapping for digital fringe profilometry based on spatial shift estimation

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