Towards object-based image editing by Zhou, Hailing

“…In particular, to overcome the lack of effectiveness and accuracy in extracting objects from complex backgrounds (especially with textures or low contrasts), we propose to incorporate image texture information into energy functions in graph-based image segmentation, use structure tensors to modify the weight between two nodes in the image graph, adopt a constrained active contour model to handle region and boundary simultaneously, and design a ``soft" brush interface for users to locally adjust segmentation results. …”
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Geodetic strain of Greece in the interval 1892-1992 by Davies, R, England, P, Parsons, B, Billiris, H, Paradissis, D, Veis, G

“…The seismic expression of strain for the entire region, calculated from the seismic moment tensors of earthquakes of MS ≥ 5.8 during the past 100 years, accounts for only 20-50% of the geodetically determined strain. …”

Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity by Mondino, A, Templeton-Browne, A

“…We infer a small yet explicit and strictly positive lower bound on the Bartnik mass of open sets (non-locally isometric to Euclidean $\mathbb {R}^{3}$ ) in terms of curvature tensors. Inspired by these results, in the appendix we propose a notion of ‘sup-Hawking mass’ which satisfies some natural properties of a quasi-local mass. …”

Multiscale Modelling of 3-Dimensional Brain Tissue Using Ideal Capillary Model by Abbas, Shabudin, Mohd Jamil, Mohamed Mokhtarudin, Payne, Stephen J., Wan Naimah, Wan Ab Naim, Nik Abdullah, Nik Mohamed

“…The cell problems are solved on a microstructure geometry of brain tissue with capillary embedded to obtain effective parametric tensors, namely the capillary and interstitial hydraulic conductivity (K and G ), capillary and interstitial homogenous Biot’s coefficient (αc and αt ), Young’s modulus (E) and Poisson’s ratio (v). …”
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Accelerating Elastic Property Prediction in Fe-C Alloys through Coupling of Molecular Dynamics and Machine Learning by Sandesh Risal, Navdeep Singh, Yan Yao, Li Sun, Samprash Risal, Weihang Zhu

“…This potential was developed by fitting atomic structure-dependent energies, forces, and stress tensors evaluated at ground state and finite temperatures using ab-initio. …”
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Malaysian Vanity License Plate Recognition Using Convolutional Neural Network by Hui Hui Tan, Rehan Shahid, Manish Mishra, Sin Liang Lim

“…After that, the images are cropped, normalized and transformed into tensors for training. The training is carried out for 70 epochs. …”
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A New Approach for Feeding Multispectral Imagery into Convolutional Neural Networks Improved Classification of Seedlings by Mohammad Imangholiloo, Ville Luoma, Markus Holopainen, Mikko Vastaranta, Antti Mäkeläinen, Niko Koivumäki, Eija Honkavaara, Ehsan Khoramshahi

“…Further analysis revealed that shorter seedlings and tensors with a higher proportion of C_th-affected pixels have negative impacts on the OA in seedling forests. …”
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A Decomposition Method for Global Evaluation of Shannon Entropy and Local Estimations of Algorithmic Complexity by Hector Zenil, Santiago Hernández-Orozco, Narsis A. Kiani, Fernando Soler-Toscano, Antonio Rueda-Toicen, Jesper Tegnér

“…The measure may be adapted for use with more multi-dimensional objects than strings, objects such as arrays and tensors. To test the measure we demonstrate the power of CTM on low algorithmic-randomness objects that are assigned maximal entropy (e.g., π ) but whose numerical approximations are closer to the theoretical low algorithmic-randomness expectation. …”
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Effectiveness of embedded discontinuities technique in capturing geomechanical behavior in naturally fractured reservoirs by Bruno Maciel, Leidy Laura Alvarez, Nayara Torres Belfort, Leonardo José do Nascimento Guimarães, Leila Brunet de Sá Beserra

“…To analyze this behavior, numerical simulation results using the proposed method were compared, under different liquid pressure depletion values, with the approach proposed by Oda, which is commonly used in commercial software for calculating fracture permeability tensors. This approach was enriched with Barton's fracture closure formulation and updates on rock matrix porosity and permeability. …”
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Mechanical investigations of the peltate leaf of Stephania japonica (Menispermaceae): Experiments and a continuum mechanical material model by Domen Macek, Hagen Holthusen, Annabell Rjosk, Stephan Ritzert, Thea Lautenschläger, Christoph Neinhuis, Jaan-Willem Simon, Stefanie Reese

“…Both parts of the energy depend on structural tensors to account for the transversely isotropic material behavior. …”
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Numerical simulation of the creep process of titanium alloy VT6 under a multi-axis stress state taking into account the influence of an aggressive environment by Leonid A. Igumnov, Ivan A. Volkov, Dmitriy A. Kazakov, Denis N. Shishulin, Ivan A. Modin

“…Particular attention is paid to the issues of modeling the process of unsteady creep for complex deformation modes, accompanied by the rotation of the main areas of stress tensors, deformations and creep deformations, taking into account the effect of an aggressive environment, which is simulated by preliminary hydrogenation of laboratory samples to various hydrogen concentrations by mass. …”
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Flow in an hourglass: particle friction and stiffness matter by Tivadar Pongó, Viktória Stiga, János Török, Sára Lévay, Balázs Szabó, Ralf Stannarius, Raúl Cruz Hidalgo, Tamás Börzsönyi

“…Using DEM data combined with a coarse-graining methodology allows us to compute all the relevant macroscopic fields, namely, linear momentum, density and stress tensors. The observed difference in the discharge in the low friction limit is connected to a strong difference in the pressure field: while for hard grains Janssen-screening is effective, leading to high vertical stress near the silo wall and small pressure above the orifice region, for deformable grains the pressure above the orifice is larger and gradually decreases during the discharge process. …”
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Effect of nonlinear and noncollinear transformation strain pathways in phase-field modeling of nucleation and growth during martensite transformation by Zhao, Pengyang, Shen, Chen, Li, Ju, Wang, Yunzhi

“…However, the usually adopted linear and/or collinear coupling between eigen transformation strain tensors and order parameters in phase-field microelasticity have excluded many nonlinear transformation pathways that have been revealed in many atomistic calculations. …”
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Methods of applied mathematics for engineers and scientists : analytical and numerical approaches / by Co, Tomas B., 1959-

Development of brain tissue swelling predictive tools for ischaemic stroke patient post-treatment by Mohamed Mokhtarudin, Mohd Jamil, Oumer, Ahmed Nurye, Adib, M. A.H.M., Jalıl, Muhammad Hilmi, Einly, Lim, Ahmad Hafiz, Zulkifly

“…In order to solve for the macroscale governing equations, the microscale cell problems must first be solved on a brain tissue geometry to calculate the effective parametric tensors, which later be used in the macroscale governing equations. …”
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A Shape Optimization Method for Part Design Derived from the Buildability Restrictions of the Directed Energy Deposition Additive Manufacturing Process by Andreas K. Lianos, Harry Bikas, Panagiotis Stavropoulos

“…Moreover, an AM design method is proposed, based on the developed internal stresses of the build volume for the load case. Stress tensors are used for the determination of the build orientation and as input for the part morphing. …”
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3D flow and fibre orientation modelling of compression moulding of A-SMC: simulations and experimental validation in squeeze flow by Gustaf Alnersson, Erik Lejon, Hana Zrida, Yvonne Aitomäki, Anna-Lena Ljung, T. Staffan Lundström

“…The experimental measurement of the orientation tensors is performed using the Method of Ellipses. …”
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Image of the Electron Suggested by Nonlinear Electrodynamics Coupled to Gravity by Irina Dymnikova

“…Regular spherically symmetric solutions of NED-GR equations that describe electrically charged objects have obligatory de Sitter center due to the algebraic structure of stress–energy tensors for electromagnetic fields. By the Gürses-Gürsey formalism, which includes the Newman–Janis algorithm, they are transformed to axially symmetric solutions that describe regular spinning objects asymptotically Kerr–Newman for a distant observer, with the gyromagnetic ratio <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>g</mi><mo>=</mo><mn>2</mn></mrow></semantics></math></inline-formula>. …”
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An Ensemble Framework for Short-Term Load Forecasting Based on TimesNet and TCN by Chuanhui Zuo, Jialong Wang, Mingping Liu, Suhui Deng, Qingnian Wang

“…Secondly, the TimesNet transforms the one-dimensional time series into a set of two-dimensional tensors based on multiple periods, capturing dependencies within different time scales and the relationships between different time scales in power load data. …”
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Estimation Method for Vector Field Divergence of Earth Crust Deformations in the Process of Mineral Deposits Development by B. T. Mazurov, M. G. Mustafin, A. A. Panzhin

“…Basing on it, strain tensors, displacement components, directions and rates of compression and tension can be calculated in the examined area. …”
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