Analyzing the impact of the initialization for the nonnegative tensor factorization in tensor displays

Carmona-Ballester, David; Trujillo-Sevilla, Juan M.; Bonaque-González, Sergio; Hernández-Delgado, Ángela; Rodríguez-Ramos, José Manuel

doi:10.1117/1.oe.57.6.061603

Cited by 4 publications

(3 citation statements)

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“…Our results suggest that the WNTF method is a very promising technique in the three-dimensional reconstruction of atmosphere turbulence. It is worth noting that WNTF is a method in which the obtained results are highly influenced by the initial approximation of the objective matrices (Langville et al 2006;Kolda & Bader 2009;Wang & Zhang 2013;Carmona-Ballester et al 2017). In this study we have used a common approximation to the initial guess, which consists of setting the matrices with Gaussian noise.…”

Section: Discussionmentioning

confidence: 99%

“…Every atmospheric layer was initialized to Gaussian noise with mean µ = 0 and standard deviation σ = 1 and then the results were normalized between 0 and 1. Although it has been previously demonstrated in the bibliography that initializing the matrices D n in this way can be very inefficient (Langville et al 2006;Kolda & Bader 2009;Carmona-Ballester et al 2017), the estimation of a proper initialization method could show itself as a complex problem. For the sake of clarity, this work will not assess these initialization techniques.…”

Section: Algorithm Implementationmentioning

confidence: 99%

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Weighted nonnegative tensor factorization for atmospheric tomography reconstruction

Carmona-Ballester

Trujillo-Sevilla²,

Bonaque-González³

et al. 2018

A&A

Self Cite

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Context. Increasing the area on the sky over which atmospheric turbulences can be corrected is a matter of wide interest in astrophysics, especially when a new generation of extremely large telescopes (ELT) is to come in the near future. Aims. In this study we tested if a method for visual representation in three-dimensional displays, the weighted nonnegative tensor factorization (WNTF), is able to improve the quality of the atmospheric tomography (AT) reconstruction as compared to a more standardized method like a randomized Kaczmarz algorithm. Methods. A total of 1000 different atmospheres were simulated and recovered by both methods. Recovering was computed for two and three layers and for four different constellations of laser guiding stars (LGS). The goodness of both methods was tested by means of the radial average of the Strehl ratio across the field of view of a telescope of 8m diameter with a sky coverage of 97.8 arcsec. Results. The proposed method significantly outperformed the Kaczmarz in all tested cases (p ≤ 0.05). In WNTF, three-layers configuration provided better outcomes, but there was no clear relation between different LGS constellations and the quality of Strehl ratio maps. Conclusions. The WNTF method is a novel technique in astronomy and its use to recover atmospheric turbulence profiles was proposed and tested. It showed better quality of reconstruction than a conventional Kaczmarz algorithm independently of the number and height of recovered atmospheric layers and of the constellation of laser guide star used. The WNTF method was shown to be a useful tool in highly ill-posed AT problems, where the difficulty of classical algorithms produce high Strehl value maps.

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Section: Discussionmentioning

confidence: 99%

Section: Algorithm Implementationmentioning

confidence: 99%

Weighted nonnegative tensor factorization for atmospheric tomography reconstruction

Carmona-Ballester

Trujillo-Sevilla²,

Bonaque-González³

et al. 2018

A&A

Self Cite

View full text Add to dashboard Cite

show abstract

“…That is, users located in the center 20 degrees with respect to a normal angle in the center of the screen will see the free view, while other users whose visual angle is deviated more than 20 degrees will see a blocked version of the displayed image. As an iterative method, WNTF is very sensitive to initialization and requires an initial solution (Kolda and Bader, 2008;Carmona-Ballester et al, 2018). In this study we have used a common approach to the initial guess, which consists of setting the matrices with Gaussian noise.…”

Section: Simulationsmentioning

confidence: 99%

A two-layers automultiscopic display as a resistant device to shoulder-surfing attacks

Carmona-Ballester¹

2022

Opt. Pura Apl.

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Shoulder surfing is a term that implies the theft of sensitive information when interacting with digital devices. It is of particular concern when authenticating in public places. We present a passive method to prevent it based on the use of an automultiscopic display, originally designed to generate three-dimensional effects, to project different images in each direction, producing a blurry image unrecognizable to any shoulder surfer; while the genuine user can observe the display without penalty. We demonstrate that it is possible to achieve privacy criteria using two digital displays operating at 133 Hz by choosing the blocked views as prudently filtered versions of the original pattern. In addition, we propose a merit function that allows to automatically evaluate the readability of each displayed view.

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High-brightness hybrid compressive light field display with improved image quality

Zhu,

Chen,

Chen

et al. 2023

Opt. Lett.

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Previous LCD-based multiplicative compressive light field (CLF) display has the trade-off between the brightness and the depth of field (DOF). In this paper, we propose a hybrid CLF display using a reflective polarizer and RGB mini-LED panel. By the polarization-multiplexing and the reflector dam (RD) designed on the mini-LED panel, the proposed system can preserve high brightness while enhancing the DOF. Then, a decomposition algorithm is proposed to improve the image quality by depth segmentation and limiting the motion parallax. Compared to the conventional hybrid CLF display, the brightness of the proposed system reaches 348 nits and the reconstruction quality achieves structural similarity index measure (SSIM) improvement by 0.12. The experiments also demonstrate that the proposed method could achieve a higher brightness, larger depth of field, and higher image quality.

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Analyzing the impact of the initialization for the nonnegative tensor factorization in tensor displays

Cited by 4 publications

References 0 publications

Weighted nonnegative tensor factorization for atmospheric tomography reconstruction

Weighted nonnegative tensor factorization for atmospheric tomography reconstruction

A two-layers automultiscopic display as a resistant device to shoulder-surfing attacks

High-brightness hybrid compressive light field display with improved image quality

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