Spatial-carrier phase-shifting digital holography utilizing spatial frequency analysis for the correction of the phase-shift error

Tahara, Tatsuki; Shimozato, Yuki; Awatsuji, Yasuhiro; Nishio, K.; Ura, Shogo; Matoba, Osamu; Kubota, Toshihiro

doi:10.1364/ol.37.000148

Cited by 21 publications

(7 citation statements)

References 18 publications

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“…In digital holography, methods based on various phase-shifting techniques that compute complex holograms have been reported recently [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. These complex holograms record wavefront information of the optical field propagated from an object under measurement.…”

Section: Introductionmentioning

confidence: 99%

Fully interferometric three-dimensional imaging spectrometry using hyperbolic-type volume interferogram

2013

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A signal-processing method is proposed in the fully interferometric three-dimensional (3D) imaging spectrometry. This processing computes a 3D interferogram, in which recorded fringe patterns do not directly reflect wavefront forms propagated from a polychromatic light source under measurement. This paper presents a procedure for signal processing including a synthesis of the 3D interferogram and retrieval of a set of spectral components of 3D images. We demonstrate retrieving 3D images for spectral components of two planar light sources by means of the proposed method. The procedure to synthesize the 3D interferogram in this method suggests the possibility of direct measurement of the 3D interferogram.

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Section: Introductionmentioning

confidence: 99%

Fully interferometric three-dimensional imaging spectrometry using hyperbolic-type volume interferogram

2013

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“…The phase-shift error is corrected by filtering the spectrum of the one of the twin image terms in Ref. [36].…”

Section: Spatial Carried-frequency Approachesmentioning

confidence: 99%

Twin-image problem in digital holography—a survey (Invited Paper)

2014

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Zero-order and twin images are a serious obstacle in achieving a high-quality output in in-line digital holography (DH). They decrease the useful bandwidth of the off-axis DH. Over the years the twin image removal problem was approached both by instrumental and numerical means. The paper provides an extended survey of the proposed solutions with their pros and cons as a guide for further advance in this field. Processing of a single spatial carrier fringe pattern involves spatial filtering in the frequency domain, spatial phase-shifting (PS) or wavelet transform. A point source digital holographic microscopy (DHM), introduction of calibration measurements or various modifications of PS technique are instrumental solutions to the twin image problem for in-line DH. Numerical solutions to the same problem include iterative and non-iterative approaches, diffraction-based and inverse problem solutions, reconstruction of purely real or phase objects and of complex objects, reconstruction of plane and volume objects. Elimination only of the zero-order image relies on non-linear filtering or additional calibration measurements.

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“…To resolve this problem, several instrumental and numerical solutions have been proposed. Instrumental approaches include phase shifting by adding wave plates, a piezo-electric transducer mirror, or an electro-optic modulator [9][10][11][12][13][14][15][16]. In this case, multiple holograms (usually two or three) corresponding to various phase differences between the object and reference light are recorded.…”

Section: Introductionmentioning

confidence: 99%

Noise-free quantitative phase imaging in Gabor holography with conditional generative adversarial network

Moon¹,

Jaferzadeh²,

Kim³

et al. 2020

Opt. Express

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This paper shows that deep learning can eliminate the superimposed twin-image noise in phase images of Gabor holographic setup. This is achieved by the conditional generative adversarial model (C-GAN), trained by input-output pairs of noisy phase images obtained from synthetic Gabor holography and the corresponding quantitative noise-free contrast-phase image obtained by the off-axis digital holography. To train the model, Gabor holograms are generated from digital off-axis holograms with spatial shifting of the real image and twin image in the frequency domain and then adding them with the DC term in the spatial domain. Finally, the digital propagation of the Gabor hologram with Fresnel approximation generates a superimposed phase image for the C-GAN model input. Two models were trained: a human red blood cell model and an elliptical cancer cell model. Following the training, several quantitative analyses were conducted on the biochemical properties and similarity between actual noise-free phase images and the model output. Surprisingly, it is discovered that our model can recover other elliptical cell lines that were not observed during the training. Additionally, some misalignments can also be compensated with the trained model. Particularly, if the reconstruction distance is somewhat incorrect, this model can still retrieve in-focus images.

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Spatial-carrier phase-shifting digital holography utilizing spatial frequency analysis for the correction of the phase-shift error

Cited by 21 publications

References 18 publications

Fully interferometric three-dimensional imaging spectrometry using hyperbolic-type volume interferogram

Fully interferometric three-dimensional imaging spectrometry using hyperbolic-type volume interferogram

Twin-image problem in digital holography—a survey (Invited Paper)

Noise-free quantitative phase imaging in Gabor holography with conditional generative adversarial network

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