Motion induced phase error reduction using a Hilbert transform

Wang, Yajun; Liu, Ziping; Jiang, Chufan; Zhang, Song

doi:10.1364/oe.26.034224

Cited by 59 publications

(13 citation statements)

References 15 publications

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“…While this study relies on theoretical calculations and numerical simulations, metal groove structures similar to those used here have been experimentally proven in previous studies. [ 34–36 ] The design method can be extended in several aspects to achieve more complex designs. This includes exploring intricate unit structures, incorporating advanced optimization algorithms, and defining alternative cost functions.…”

Section: Discussionmentioning

confidence: 99%

Spin‐Switchable Optics for Surface Plasmon Polaritons Utilizing Nanogroove‐Pair Array

Yang,

Wang

2023

Advanced Optical Materials

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Manipulating surface plasmon polaritons (SPPs) in a spin‐controlled manner has opened new possibilities in various applications. Generating spin‐switchable arbitrary complex wavefronts of SPPs using subwavelength structures is highly desirable. Here, the nanogroove‐pair unit (NP), a powerful structure enabling independent amplitude and phase control for spin‐encoded SPP generation, is introduced. Through an NP‐array structure, a comprehensive design strategy for generating SPPs with predefined wavefronts is presented for both left‐ and right‐handed circular polarizations. As an example, a plasmonic lens capable of spin‐switchable focusing is designed with an exceptionally high extinction ratio. Additionally, various complex wavefronts, such as bifocusing, nondiffracting beaming, asymmetric focusing, and focal length switching, all incorporating spin‐switchable features, are presented. The proposed scheme represents a significant advancement in polarization‐controlled wavefront shaping for SPPs, offering potential for diverse applications, including plasmonic switches, particle trapping and manipulation, and polarization sensing.

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Section: Discussionmentioning

confidence: 99%

Spin‐Switchable Optics for Surface Plasmon Polaritons Utilizing Nanogroove‐Pair Array

Yang,

Wang

2023

Advanced Optical Materials

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“…Huang et al 15 proposed color fringe projection, but this method requires high color requirements for the object. Tao et al 16 proposed an adaptive depth constraint method, and Wang et al 17 proposed a Hilbert transform method, which can eliminate motion-induced errors to a certain extent, but they have limitations on the slope of the object itself. Wang et al 18 used a phase equalization method to remove motion-induced errors, but this method cannot be applied to objects with uneven brightness.…”

Section: Introductionmentioning

confidence: 99%

“…Tao et al 16 . proposed an adaptive depth constraint method, and Wang et al 17 . proposed a Hilbert transform method, which can eliminate motion-induced errors to a certain extent, but they have limitations on the slope of the object itself.…”

Section: Introductionmentioning

confidence: 99%

Method for measuring the three-dimensional profile of moving objects based on neural network position transformation

Wu,

Di,

Guo

et al. 2024

Opt. Eng.

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To eliminate motion-induced errors, a multi-step fitting position transformation method is proposed for measuring the three-dimensional (3D) profile of an object. The method employs a neural network to perform position transformation on the objects in the captured motion phase-shifting fringe projection images, aligning them to the same position, and then uses the phase-shifting method to obtain the 3D profile of the objects. Theoretically, the rigid body motion transformation matrix is used to deduce the change of points on the objects in the fringe pattern under different motion conditions, and the 3D profile measurement results of randomly moving objects are simulated and analyzed. Experimentally, a neural network model was trained by using 5000 sets of data obtained from experiments to eliminate motioninduced errors in various motion states. Simulation and experimental results show that this method significantly reduces the motion-induced errors that occur when measuring moving objects using the traditional phase-shifting method. It has broad application prospects in the field of real-time measurement of moving objects' 3D profiles.

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“…There have been several approaches to improve measurement accuracy for dynamic measurement. Firstly, some scholars developed methods to compensate for errors caused by object relative motion during measurement [20,21]. While these motion-induced-error compensation methods work well, they usually require extra computational cost and additional processing to suppress errors at fringe edges.…”

Section: Introductionmentioning

confidence: 99%

Improve Temporal Fourier Transform Profilometry for Complex Dynamic Three-Dimensional Shape Measurement

Liu

Zhang

et al. 2020

Sensors

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The high-speed three-dimensional (3-D) shape measurement technique has become more and more popular recently, because of the strong demand for dynamic scene measurement. The single-shot nature of Fourier Transform Profilometry (FTP) makes it highly suitable for the 3-D shape measurement of dynamic scenes. However, due to the band-pass filter, FTP method has limitations for measuring objects with sharp edges, abrupt change or non-uniform reflectivity. In this paper, an improved Temporal Fourier Transform Profilometry (TFTP) algorithm combined with the 3-D phase unwrapping algorithm based on a reference plane is presented, and the measurement of one deformed fringe pattern producing a new 3-D shape of an isolated abrupt objects has been achieved. Improved TFTP method avoids band-pass filter in spatial domain and unwraps 3-D phase distribution along the temporal axis based on the reference plane. The high-frequency information of the measured object can be well preserved, and each pixel is processed separately. Experiments verify that our method can be well applied to a dynamic 3-D shape measurement with isolated, sharp edges or abrupt change. A high-speed and low-cost structured light pattern sequence projection has also been presented, it is capable of projection frequencies in the kHz level. Using the proposed 3-D shape measurement algorithm with the self-made mechanical projector, we demonstrated dynamic 3-D reconstruction with a rate of 297 Hz, which is mainly limited by the speed of the camera.

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Motion induced phase error reduction using a Hilbert transform

Cited by 59 publications

References 15 publications

Spin‐Switchable Optics for Surface Plasmon Polaritons Utilizing Nanogroove‐Pair Array

Spin‐Switchable Optics for Surface Plasmon Polaritons Utilizing Nanogroove‐Pair Array

Method for measuring the three-dimensional profile of moving objects based on neural network position transformation

Improve Temporal Fourier Transform Profilometry for Complex Dynamic Three-Dimensional Shape Measurement

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