Denoising of series electron holograms using tensor decomposition

Abstract In this study, a noise-reduction technique for series low-dose electron holograms using tensor decomposition is demonstrated through simulation. We treated an entire dataset of the series holograms with Poisson noise as a third-order tensor, which is a stack of 2D holograms. The third-order tensor, which is decomposed into a core tensor and three factor matrices, is approximated as a lower-rank tensor using only noise-free principal components. This technique is applied to simulated holograms by assuming a p-n junction in a semiconductor sample. The peak signal-to-noise ratios of the holograms and the reconstructed phase maps have been improved significantly using tensor decomposition. Moreover, the proposed method was applied to a more practical situation of time-resolved in situ electron holography by considering a nonuniform fringe contrast and fringe drift relative to the sample. The accuracy and precision of the reconstructed phase maps were quantitatively evaluated to demonstrate its effectiveness for in situ experiments and low-dose experiments on beam-sensitive materials.

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Pulsed Microwave Processing of High-TC Superconducting Films

MRS Proceedings ◽

10.1557/proc-269-187 ◽

1992 ◽

Vol 269 ◽

Author(s):

R. B. James ◽

R. A. Alvarez ◽

A. K. Stamper ◽

X. J. Bao ◽

T. E. Schlesinger ◽

...

Keyword(s):

Phase Transition ◽

Barium Copper Oxide ◽

Precursor Film ◽

Silicon Substrates ◽

Molten Layer ◽

Time Resolved ◽

Barium Copper ◽

In Situ Experiments ◽

Yttrium Barium

ABSTRACTWe have used 2.0-μsec microwave pulses at a frequency of 2.856 GHz to rapidly heat thin amorphous yttrium-barium-copper-oxide (YBCO) films deposited onto silicon substrates. The samples were irradiated inside a WR-284 waveguide by single-pass TE10 pulses in a traveling wave geometry. X-ray diffractometry studies show that an amorphous-to-crystalline phase transition occurs for incident pulse powers exceeding about 6 MW, in which case the amorphous YBCO layer is converted to Y2BaCuO5. Microscopy of the irradiated film reveals that the phase transition is brought about by melting of the YBCO precursor film and crystallization of the molten layer upon solidification. Time-resolved in situ experiments of the microwave reflectivity (R) and transmissivity (T) show that there is an abrupt change in R for microwave pulse powers exceeding the melt threshold, so that measurements of R and T can be used to monitor the onset of surface melting.

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In Situ Dispersive EXAFS in Electrocatalysis: The Investigation of the Local Structure of IrOxin Chronoamperometric Conditions as a Case Study

Journal of Spectroscopy ◽

10.1155/2014/480102 ◽

2014 ◽

Vol 2014 ◽

pp. 1-7 ◽

Cited By ~ 7

Author(s):

Elisabetta Achilli ◽

Alessandro Minguzzi ◽

Ottavio Lugaresi ◽

Cristina Locatelli ◽

Sandra Rondinini ◽

...

Keyword(s):

Fourier Transforms ◽

Point Of View ◽

General Point ◽

Time Resolved ◽

Electrochemical Processes ◽

In Situ Experiments ◽

X Ray Absorption ◽

Short Range Structure

An in situ study with dispersive EXAFS (Extended X-Ray Absorption Spectroscopy) at the Ir-LIIIedge is performed to characterize Electrodeposited Iridium Oxide Films (EIROF) under chronoamperometric conditions. The technique monitors the local chemical environment and electronic structure of iridium during the oxidation of Ir(III) to Ir(IV) with a time resolution of milliseconds. The study is performed in both acidic and basic media. The Fourier transforms of the time-resolved EXAFS signals clearly show that the short-range structure of Ir is similar to that of rutile-type IrO2and is maintained during the reaction, thus accounting for the flexibility of the structure of the electrode material in accommodating different oxidation states. From a more general point of view, the work demonstrates the capabilities of in situ experiments based on state-of-the-art dispersive EXAFS in clarifying the mechanistic aspects of electrochemical processes.

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Exploiting multi‐lead electrocardiogram correlations using robust third‐order tensor decomposition

Healthcare Technology Letters ◽

10.1049/htl.2015.0020 ◽

2015 ◽

Vol 2 (5) ◽

pp. 112-117 ◽

Cited By ~ 6

Author(s):

Sibasankar Padhy ◽

Samarendra Dandapat

Keyword(s):

Tensor Decomposition ◽

Third Order ◽

Order Tensor

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Tensor Decomposition of KUKA Industrial Robot (KR16-2) in Rotational System

International Journal of Recent Technology and Engineering - 2 ◽

10.35940/ijrte.b4302.079220 ◽

2020 ◽

Vol 9 (2) ◽

pp. 688-690

Keyword(s):

Rotational Motion ◽

Industrial Robot ◽

Matrix Decomposition ◽

Tensor Decomposition ◽

Tensor Model ◽

Third Order ◽

Order Tensor ◽

The Third ◽

Decomposition Model ◽

The Matrix

This paper refers to study of industrial robot (KUKA KR16-2), in which we have considered the matrix decomposition and tensor decomposition model in rotational motion. We have considered robotic matrix & Tensor and defined a modal product between robot rotation matrix and a tensor Further we have proposed the third order tensor for the motion of Industrial robot and tried to find out the useful result. At last we have shown that the tensor model is providing alternate way to find the solution.

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A Watermarking Scheme for Color Image Using Quaternion Discrete Fourier Transform and Tensor Decomposition

Applied Sciences ◽

10.3390/app11115006 ◽

2021 ◽

Vol 11 (11) ◽

pp. 5006

Author(s):

Li Li ◽

Rui Bai ◽

Jianfeng Lu ◽

Shanqing Zhang ◽

Ching-Chun Chang

Keyword(s):

Fourier Transform ◽

Discrete Fourier Transform ◽

Color Image ◽

Image Watermarking ◽

Tensor Decomposition ◽

Geometric Distortion ◽

Support Vector ◽

Third Order ◽

Order Tensor ◽

Watermarking Scheme

To protect the copyright of the color image, a color image watermarking scheme based on quaternion discrete Fourier transform (QDFT) and tensor decomposition (TD) is presented. Specifically, the cover image is partitioned into non-overlapping blocks, and then QDFT is performed on each image block. Then, the three imaginary frequency components of QDFT are used to construct a third-order tensor. The third-order tensor is decomposed by Tucker decomposition and generates a core tensor. Finally, an improved odd–even quantization technique is employed to embed a watermark in the core tensor. Moreover, pseudo-Zernike moments and multiple output least squares support vector regression (MLS–SVR) network model are used for geometric distortion correction in the watermark extraction stage. The scheme utilizes the inherent correlations among the three RGB channels of a color image, and spreads the watermark into the three channels. The experimental results indicate that the proposed scheme has better fidelity and stronger robustness for common image-processing and geometric attacks, can effectively resist each color channel exchange attack. Compared with the existing schemes, the presented scheme achieves better performance

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Time-Resolved in-Situ Experiments on the Crystallization of Natural Gas Hydrates

The Journal of Physical Chemistry ◽

10.1021/jp960094s ◽

1996 ◽

Vol 100 (16) ◽

pp. 6412-6414 ◽

Cited By ~ 36

Author(s):

Carolyn A. Koh ◽

Jeffrey L. Savidge ◽

Chiu C. Tang

Keyword(s):

Natural Gas ◽

Gas Hydrates ◽

Time Resolved ◽

Natural Gas Hydrates ◽

In Situ Experiments

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Third-order tensor decomposition for search in social tagging systems

10.5353/th_b4516004 ◽

2010 ◽

Author(s):

Bin Bi

Keyword(s):

Tensor Decomposition ◽

Social Tagging ◽

Third Order ◽

Order Tensor ◽

Social Tagging Systems

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Hierarchical third‐order tensor decomposition through inverse difference pyramid based on the three‐dimensional Walsh–Hadamard transform with applications in data mining

Wiley Interdisciplinary Reviews Data Mining and Knowledge Discovery ◽

10.1002/widm.1314 ◽

2019 ◽

Vol 10 (2) ◽

Author(s):

Roumen K. Kountchev ◽

Barna L. Iantovics ◽

Roumiana A. Kountcheva

Keyword(s):

Data Mining ◽

Three Dimensional ◽

Tensor Decomposition ◽

Hadamard Transform ◽

Third Order ◽

Order Tensor ◽

Walsh Hadamard Transform

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Decomposition of third-order constitutive tensors

Mathematics and Mechanics of Solids ◽

10.1177/10812865211016530 ◽

2021 ◽

pp. 108128652110165

Author(s):

Yakov Itin ◽

Shulamit Reches

Keyword(s):

Tensor Decomposition ◽

Physical Parameters ◽

Mathematical Tool ◽

Solid State Physics ◽

Third Order ◽

Order Tensor ◽

Algebraic Properties ◽

Complete Set ◽

Physical Quantities ◽

Constitutive Tensor

Third-order tensors are widely used as a mathematical tool for modeling the physical properties of media in solid-state physics. In most cases, they arise as constitutive tensors of proportionality between basic physical quantities. The constitutive tensor can be considered the complete set of physical parameters of a medium. The algebraic features of the constitutive tensor can be used as a tool for proper identification of natural materials, such as crystals, and for designing artificial nanomaterials with prescribed properties. In this paper, we study the algebraic properties of a general asymmetric third-order tensor relative to its invariant decomposition. In correspondence with different groups acting on the basic vector space, we present the hierarchy of different types of tensor decomposition into invariant subtensors. In particular, we discuss the problem of non-uniqueness and reducibility of high-order tensor decomposition. For a general asymmetric third-order tensor, these features are described explicitly. In the case of special tensors with a prescribed symmetry, the decomposition is demonstrated to be irreducible and unique. We present the explicit results for two physically interesting models: the piezoelectric tensor as an example of pair symmetry and the Hall tensor as an example of pair skew-symmetry.

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