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Anisotropic decompositions using representation systems based on parabolic scaling such as curvelets or shearlets have recently attracted significantly increased attention due to the fact that they were shown to provide optimally sparse…

Functional Analysis · Mathematics 2012-06-12 Philipp Grohs , Gitta Kutyniok

In this paper, a plate model suitable for static and dynamic analysis of inhomogeneous anisotropic multilayered plates is described. This model takes transverse shear variation through the thickness of the plate into account by means of…

Classical Physics · Physics 2012-12-24 Alexandre Loredo , Alexis Castel

We demonstrate a novel approach to the reconstruction of scanning probe x-ray diffraction tomography data with anisotropic poly crystalline samples. The method involves reconstructing a voxel map containing an orientation distribution…

Image inpainting is a fundamental task in computer vision, aiming to restore missing or corrupted regions in images realistically. While recent deep learning approaches have significantly advanced the state-of-the-art, challenges remain in…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Jacob Fein-Ashley , Benjamin Fein-Ashley

Strained coherent heteroepitaxy of III-V semiconductor films such as In$_x$Ga$_{1-x}$As/GaAs has potential for electronic and optoelectronic applications such as high density logic, quantum computing architectures, laser diodes, and other…

Materials Science · Physics 2009-11-13 Lawrence H. Friedman

We extend thresholding methods for numerical realization of mean curvature flow on obstacles to the anisotropic setting where interfacial energy depends on the orientation of the interface. This type of schemes treats the interface…

Numerical Analysis · Mathematics 2021-06-09 Siddharth Gavhale , Karel Svadlenka

We present precise anisotropic interpolation error estimates for smooth functions using a new geometric parameter and derive inverse inequalities on anisotropic meshes. In our theory, the interpolation error is bounded in terms of the…

Numerical Analysis · Mathematics 2022-08-03 Hiroki Ishizaka , Kenta Kobayashi , Takuya Tsuchiya

We reelaborate on the basic properties of lossless multilayers by using bilinear transformations. We study some interesting properties of the multilayer transfer function in the unit disk, showing that hyperbolic geometry turns out to be an…

Optics · Physics 2009-11-10 A. G. Barriuso , J. J. Monzon , L. L. Sanchez-Soto , J. F. Carinena

We present a new method of constraining the mass and velocity anisotropy profiles of galaxy clusters from kinematic data. The method is based on a model of the phase space density which allows the anisotropy to vary with radius between two…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Radoslaw Wojtak , Ewa L. Lokas , Gary A. Mamon , Stefan Gottloeber

Elongated anisotropic Gaussian filters are used for the orientation estimation of fibers. In cases where computed tomography images are noisy, roughly resolved, and of low contrast, they are the method of choice even if being efficient only…

Image and Video Processing · Electrical Eng. & Systems 2024-10-28 Alex Keilmann , Michael Godehardt , Ali Moghiseh , Claudia Redenbach , Katja Schladitz

In an era where the volume of data drives the effectiveness of self-supervised learning, the specificity and clarity of data semantics play a crucial role in model training. Addressing this, we introduce HYPerbolic Entailment filtering…

Computer Vision and Pattern Recognition · Computer Science 2024-07-17 Wonjae Kim , Sanghyuk Chun , Taekyung Kim , Dongyoon Han , Sangdoo Yun

Anisotropy in crystals plays a pivotal role in many technological applications. For example, anisotropic electronic and thermal transport are thought to be beneficial for thermoelectric applications, while anisotropic mechanical properties…

Materials Science · Physics 2024-05-14 Yuchen Lou , Alex M. Ganose

Run-and-tumble processes successfully model several living systems. While studies have typically focused on particles with isotropic tumbles, recent examples exhibit "tumble-turns", in which particles undergo 90{\deg} tumbles and so possess…

Soft Condensed Matter · Physics 2024-03-19 Benjamin Loewe , Tyler N. Shendruk

We discuss a general five-dimensional completely anisotropic holographic model with three different spatial scale factors, characterized by a Van der Waals-like phase transition between small and large black holes. A peculiar feature of the…

High Energy Physics - Theory · Physics 2020-08-26 Irina Ya. Aref'eva , Alexander Patrushev , Pavel Slepov

Periodic structures can be engineered to exhibit unique properties observed at symmetry points, such as zero group velocity, Dirac cones and saddle points; identifying these, and the nature of the associated modes, from a direct reading of…

(Abridged) We study the properties of anisotropic and axisymmetric velocity ellipsoids from maps of the gas velocity dispersion in nearby galaxies. This data allow us to measure the azimuthal-to-radial axis ratio of gas velocity ellipsoids,…

Astrophysics of Galaxies · Physics 2020-08-05 Laurent Chemin , Jonathan Braine , Françoise Combes , Zacharie S. Kam , Claude Carignan

Gaussian Splatting has emerged as a powerful representation for high-quality, real-time 3D scene rendering. While recent works extend Gaussians with learnable textures to enrich visual appearance, existing approaches allocate a fixed square…

Computer Vision and Pattern Recognition · Computer Science 2026-01-15 Sheng-Chi Hsu , Ting-Yu Yen , Shih-Hsuan Hung , Hung-Kuo Chu

The use of data assimilation technique to identify optimal topography is discussed in frames of time-dependent motion governed by non-linear barotropic ocean model. Assimilation of artificially generated data allows to measure the influence…

Atmospheric and Oceanic Physics · Physics 2009-12-08 Eugene Kazantsev

A simple phenomenological approach to metal plasticity, including the description of the strain-induced plastic anisotropy, is considered. The advocated approach is exemplified by a two-dimensional rheological analogy. This analogy provides…

Materials Science · Physics 2013-09-13 Alexey Shutov , Jörn Ihlemann

We report experimental measurements of the translational and rotational dynamics of a large buoyant sphere in isotropic turbulence. We introduce an efficient method to simultaneously determine the position and (absolute) orientation of a…

Fluid Dynamics · Physics 2016-04-20 Varghese Mathai , Matthijs W. M. Neut , Erwin P. van der Poel , Chao Sun