Phase retrieval from one partial derivative

Martino, J. Matías Di; Flores, Jorge L.; Pfeiffer, Franz; Scherer, Kai; Ayubi, Gastón A.; Ferrari, José A.

doi:10.1364/ol.38.004813

Cited by 22 publications

(12 citation statements)

References 14 publications

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“…(8) or Eq. (9) (see, e.g., [27,28]). However, when the measured intensity distributions I k x; y are degraded by noise, a situation that takes place invariably in laboratory and field applications, the integration along a single coordinate produces poor-quality results.…”

Section: Description Of the Methodsmentioning

confidence: 99%

Wrapping-free phase retrieval with applications to interferometry, 3D-shape profiling, and deflectometry

et al. 2015

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Phase unwrapping is probably the most challenging step in the phase retrieval process in phase-shifting and spatial-carrier interferometry. Likewise, phase unwrapping is required in 3D-shape profiling and deflectometry. In this paper, we present a novel phase retrieval method that completely sidesteps the phase unwrapping process, significantly eliminating the guessing in phase reconstruction and thus decreasing the time data processing. The proposed wrapping-free method is based on the direct integration of the spatial derivatives of the interference patterns under the single assumption that the phase is continuous. This assumption is valid in most physical applications. Validation experiments are presented confirming the robustness of the proposed method.

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Section: Description Of the Methodsmentioning

confidence: 99%

Wrapping-free phase retrieval with applications to interferometry, 3D-shape profiling, and deflectometry

et al. 2015

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“…where α (0 ≤ α ≤ 1) is a filtering parameter that eliminates the high spatial frequency [20]. This method was employed for the streak-noise-free PC imaging with SIXM.…”

Section: Figure 2 Schematic Drawing Of 1d Diffuser (Left) and Its Phmentioning

confidence: 99%

Imaging properties and its improvements of scanning/imaging x-ray microscope

Takeuchi¹,

Uesugi²,

Suzuki³

2016

AIP Conference Proceedings

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“…(6) and to retrieve the absolute value of the phase delay. However, a simple homogeneous Dirichlet condition of zero phase delay at image boundaries (suggested, for instance, in [13]) is a rarely encountered condition in practice. It is often impossible to isolate an object in the center of the camera field of view so that it is surrounded by air, where X-ray phase remains unperturbed.…”

Section: Phase-retrieval Boundary Value Problem and A Priori Informationmentioning

confidence: 99%

“…It was also shown that the basic phase retrieval problem can be converted to an elliptic partial differential equation [13,14]. In this work we explore this approach in details.…”

Section: Introductionmentioning

confidence: 99%

Boundary value problem for phase retrieval from unidirectional X-ray differential phase images

Gasilov¹,

Mittone²,

Horng³

et al. 2015

Opt. Express

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Abstract:The phase retrieval problem can be reduced to the second order partial differential equation. In order to retrieve the absolute values of the X-ray phase and to minimize the reconstruction artifacts we defined the mixed inhomogeneous boundary condition using available a priori information about the sample. Finite element technique was used to solve the boundary value problem. The approach is validated on numerical and experimental phantoms. In order to demonstrate a possible application of the method, we have processed an entire tomographic set of differential phase images and estimated the magnitude of the refractive index decrement for some tissues inside complex biomedical samples. References and links1. R. Fitzgerald, "Phase-sensitive X-ray imaging," Phys. Today 53, 23-27 (2000). 2. A. Bravin, P. Coan, and P. Suortti, "X-ray phase-contrast imaging: from pre-clinical applications towards clinics," Phys. Med. Biol 58, R1-R35 (2013). 3. S. W. Wilkins, T. E. Gureyev, D. Gao, A. Pogany, and A. W. Stevenson, "Phase-contrast imaging using polychromatic hard X-rays," Nature 384, 335-337 (1996). 4. V. N. Ingal and E. A. Beliaevskaya, "X-ray plane-wave topography observation of the phase contrast from a non-crystalline object," J. Phys. D 28, 2314-2318 (1995). 5. T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, "Quantitative X-ray phase imaging with a grating interferometer," Opt. Lett. 108, 158102 (2012). 11. J. Sperl, D. Bequ, G. Kudielka, K. Mahdi, P. Edic, and C. Cozzini, "A Fourier-domain algorithm for total-variation regularized phase retrieval in differential X-ray phase contrast imaging," Opt. Express 22, 450-462 (2014 F. Pfeiffer, and J. Herzen, "Quantitative imaging using high-energy X-ray phase-contrast CT with a 70 kVp polychromatic X-ray spectrum," Opt. Express 23, 523-535 (2015).

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Phase retrieval from one partial derivative

Cited by 22 publications

References 14 publications

Wrapping-free phase retrieval with applications to interferometry, 3D-shape profiling, and deflectometry

Wrapping-free phase retrieval with applications to interferometry, 3D-shape profiling, and deflectometry

Imaging properties and its improvements of scanning/imaging x-ray microscope

Boundary value problem for phase retrieval from unidirectional X-ray differential phase images

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