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We construct a set of shape-finders which determine shapes of compact surfaces (iso-density surfaces in galaxy surveys or N-body simulations) without fitting them to ellipsoidal configurations as done earlier. The new indicators arise from…

Astrophysics · Physics 2009-10-30 Varun Sahni , B. S. Sathyaprakash , Sergei F. Shandarin

This paper introduces an axiomatic basis for measuring the energy characteristic of vibrating dynamical systems. The basic approach is to compare non-modulated vs. modulated waveforms in measuring energy during the vibratory motion $m(t)$…

General Physics · Physics 2024-10-30 Enze Cui , James F. Peters

In this work we present a novel framework that uses deep learning to predict object feature points that are out-of-view in the input image. This system was developed with the application of model-based tracking in mind, particularly in the…

Computer Vision and Pattern Recognition · Computer Science 2018-03-06 Oliver Moolan-Feroze , Andrew Calway

We describe a new framework for fitting jump models to a sequence of data. The key idea is to alternate between minimizing a loss function to fit multiple model parameters, and minimizing a discrete loss function to determine which set of…

Machine Learning · Computer Science 2018-05-22 A. Bemporad , V. Breschi , D. Piga , S. Boyd

We introduce a method for modeling a configuration of objects in 2D or 3D images using a mathematical "skeletal linking structure" which will simultaneously capture the individual shape features of the objects and their positional…

Computer Vision and Pattern Recognition · Computer Science 2017-06-15 James Damon , Ellen Gasparovic

Deformable shape modeling approaches that describe objects in terms of their medial axis geometry (e.g., m-reps [Pizer et al., 2003]) yield rich geometrical features that can be useful for analyzing the shape of sheet-like biological…

Graphics · Computer Science 2019-03-04 Paul A. Yushkevich , Ahmed Aly , Jiancong Wang , Long Xie , Robert C. Gorman , Laurent Younes , Alison Pouch

Due to the processes that occur during the functioning of modern electromechanical systems, these systems can be considered complex nonlinear dynamic systems from the point of view of the theory of dynamic systems. The movement of such…

Optimization and Control · Mathematics 2024-12-10 Roman Voliansky

Observations with modern radio telescopes have revealed that classical novae are far from the simple, spherically symmetric events they were once assumed to be. It is now understood that novae provide excellent laboratories to study several…

Instrumentation and Methods for Astrophysics · Physics 2018-10-17 Justin D. Linford , Laura Chomiuk , Michael P. Rupen

The description of complex physical phenomena often involves sophisticated models that rely on a large number of parameters, with many dimensions and scales. One practical way to simplify that kind of models is to discard some of the…

Soft Condensed Matter · Physics 2025-11-11 Simone Rusconi , Christina Schenk , Razvan Ceuca , Arghir Zarnescu , Elena Akhmatskaya

In this paper, we present a solution for arbitrary 3D character deformation by investigating rotation angle of decomposition and preserving the mesh topology structure. In computer graphics, skeleton extraction and skeleton-driven animation…

Computer Vision and Pattern Recognition · Computer Science 2016-08-18 Hugo Martin , Raphael Fernandez , Yong Khoo

In high energy density physics (HEDP) and inertial confinement fusion (ICF), predictive modeling is complicated by uncertainty in parameters that characterize various aspects of the modeled system, such as those characterizing material…

Intractable phase dynamics often challenge our understanding of complex oscillatory systems, hindering the exploration of synchronisation, chaos, and emergent phenomena across diverse fields. We introduce a novel conceptual framework for…

Chaotic Dynamics · Physics 2024-07-02 Marco Thiel

The aim of this work is to investigate the applications of the neutral atom imaging to the environments of the Earth, Mars and Mercury. This innovative technique permits the study of energetic plasma by means of analysing the result of the…

Earth and Planetary Astrophysics · Physics 2023-02-23 Alessandro Mura

The notion of a Fast Moving Object (FMO), i.e. an object that moves over a distance exceeding its size within the exposure time, is introduced. FMOs may, and typically do, rotate with high angular speed. FMOs are very common in sports…

Computer Vision and Pattern Recognition · Computer Science 2019-05-13 Denys Rozumnyi , Jan Kotera , Filip Sroubek , Lukas Novotny , Jiri Matas

We present a new method for extracting a mass parameter using time-dependent density functional theory for an arbitrary physical system, provided the adiabatic limit is achievable. This approach works for collective variables also in the…

Nuclear Theory · Physics 2025-10-13 Agata Zdanowicz , Daniel Pęcak , Piotr Magierski , Gabriel Wlazłowski

In order to meet the requirements of practical applications, a model of deforming manifold in the embedded space is proposed. The deforming vector and deforming field are presented to precisely describe the deforming process, which have…

Differential Geometry · Mathematics 2021-10-12 Xiaodong Zhuang , Nikos E. Mastorakis

This work introduces a method for learning low-dimensional models from data of high-dimensional black-box dynamical systems. The novelty is that the learned models are exactly the reduced models that are traditionally constructed with model…

Numerical Analysis · Mathematics 2019-08-30 Benjamin Peherstorfer

We formulate a relaxed linear elastic micromorphic continuum model with symmetric Cauchy force-stresses and curvature contribution depending only on the micro-dislocation tensor. Our relaxed model is still able to fully describe rotation of…

Mathematical Physics · Physics 2015-06-16 Patrizio Neff , Ionel-Dumitrel Ghiba , Angela Madeo , Luca Placidi , Giuseppe Rosi

A generic toy model of a cooling neutron star (NS) is used to analyze cooling of NSs with nucleon and exotic composition of the cores. The model contains the parameters which specify the levels of slow and enhanced neutrino emission as well…

Astrophysics · Physics 2009-11-07 D. G. Yakovlev , P. Haensel

We theoretically investigate the optical rotational Doppler Effect using modal expansion method. We find that the frequency shift content is only determined by the surface of spinning object and the reduced Doppler shift is linear to the…

Optics · Physics 2015-07-16 Hailong Zhou , Jianji Dong , Pei Zhang , Xinliang Zhang