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We construct analytic solutions for marginal deformations satisfying the reality condition in open superstring field theory formulated by Berkovits when operator products made of the marginal operator and the associated superconformal…

High Energy Physics - Theory · Physics 2008-11-26 Yuji Okawa

We present an innovative approach to dimensional analysis, based on a general representation theorem for complete quantity functions admitting a covariant scalar representation; this theorem is in turn grounded in a purely algebraic theory…

Mathematical Physics · Physics 2020-12-15 Dan Jonsson

Geometric modeling by constraints, whose applications are of interest to communities from various fields such as mechanical engineering, computer aided design, symbolic computation or molecular chemistry, is now integrated into standard…

Computational Geometry · Computer Science 2018-03-06 Samy Ait-Aoudia , Adel Moussaoui , Khaled Abid , Dominique Michelucci

We propose a manifestly supersymmetric generalization of the solvable $T \overline{T}$ deformation of two-dimensional field theories. For theories with $(1,1)$ and $(0,1)$ supersymmetry, the deformation is defined by adding a term to the…

High Energy Physics - Theory · Physics 2019-05-22 Chih-Kai Chang , Christian Ferko , Savdeep Sethi

We give an alternative method to obtain normal forms of reversible equivariant vector fields. We adapt the classical method using tools from invariant theory to establish formulae that take symmetries into account as a starting point.…

Representation Theory · Mathematics 2015-02-26 Patricia Hernandes Baptistelli , Miriam Garcia Manoel , Iris de Oliveira Zeli

Recent advances in radiance fields enable photorealistic rendering of static or dynamic 3D scenes, but still do not support explicit deformation that is used for scene manipulation or animation. In this paper, we propose a method that…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Tianhan Xu , Tatsuya Harada

We present a method for nonrigid registration of 2-D geometric shapes. Our contribution is twofold. First, we extend the classic chamfer-matching energy to a variational functional. Secondly, we introduce a meshless deformation model that…

Computer Vision and Pattern Recognition · Computer Science 2011-04-22 Wei Liu , Eraldo Ribeiro

In this paper, I will show how to use $\beta$-deformations to deal with dual flatness of $(\alpha,\beta)$-metrics. It is a natural continuation of the research on dually flat Randers metrics(see arxiv:1209.1150). $\beta$-deformations is a…

Differential Geometry · Mathematics 2013-05-17 Changtao Yu

Reproducing an all-in-focus image from an image with defocus regions is of practical value in many applications, eg, digital photography, and robotics. Using the output of some existing defocus map estimator, existing approaches first…

Computer Vision and Pattern Recognition · Computer Science 2018-08-29 Guodong Xu , Chaoqiang Liu , Hui Ji

We propose a one-dimensional, nonconvex elastic constitutive model with higher gradients that can predict spontaneous fracture at a critical load via a bifurcation analysis. It overcomes the problem of discontinuous deformations without…

Analysis of PDEs · Mathematics 2021-03-17 Phoebus Rosakis , Timothy J. Healey , Ugur Alyanak

In order to manipulate a deformable object, such as rope or cloth, in unstructured environments, robots need a way to estimate its current shape. However, tracking the shape of a deformable object can be challenging because of the object's…

Robotics · Computer Science 2020-11-03 Yixuan Wang , Dale McConachie , Dmitry Berenson

Reconstructing a complete object from its parts is a fundamental problem in many scientific domains. The purpose of this article is to provide a systematic survey on this topic. The reassembly problem requires understanding the attributes…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Jiaxin Lu , Yongqing Liang , Huijun Han , Jiacheng Hua , Junfeng Jiang , Xin Li , Qixing Huang

A simple procedure is developed to determine orbital elements of an object orbiting in a central force field which contribute more than three independent celestial positions. By manipulation of formal three point Gauss method of orbit…

Earth and Planetary Astrophysics · Physics 2015-06-17 Taghi Mirtorabi

3D-aware generative models have demonstrated their superb performance to generate 3D neural radiance fields (NeRF) from a collection of monocular 2D images even for topology-varying object categories. However, these methods still lack the…

Computer Vision and Pattern Recognition · Computer Science 2022-09-12 Ziyu Wang , Yu Deng , Jiaolong Yang , Jingyi Yu , Xin Tong

This paper introduces a machine learning approach to take a nonlinear differential-equation model that exhibits qualitative agreement with a physical experiment over a range of parameter values and produce a hybrid model that also exhibits…

Dynamical Systems · Mathematics 2022-08-24 K. H. Lee , D. A. W. Barton , L. Renson

In this study, we introduce and explore a delay differential equation that lends itself to explicit solutions in the Fourier-transformed space. Through the careful alignment of the initial function, we can construct a highly accurate…

Adaptation and Self-Organizing Systems · Physics 2024-12-13 Kenta Ohira , Toru Ohira

Circumstellar disks play a key role in the understanding of stellar systems. Direct imaging of such extended structures is a challenging task. Current post-processing techniques, first tailored for exoplanets imaging, tend to produce…

Instrumentation and Methods for Astrophysics · Physics 2019-02-27 Benoît Pairet , Faustine Cantalloube , Laurent Jacques

Shape control of deformable objects is a challenging and important robotic problem. This paper proposes a model-free controller using novel 3D global deformation features based on modal analysis. Unlike most existing controllers using…

Robotics · Computer Science 2023-04-19 Bohan Yang , Bo Lu , Wei Chen , Fangxun Zhong , Yun-Hui Liu

We present a new approach to discretizing shape optimization problems that generalizes standard moving mesh methods to higher-order mesh deformations and that is naturally compatible with higher-order finite element discretizations of…

Numerical Analysis · Mathematics 2017-06-13 A. Paganini , F. Wechsung , P. E. Farrell

In this work, we propose an observation system based on the available data which solution is one-be-one mapping to the forward problem(with the unknown initial function) solution. It implies their solutions share the same linear structure…

Numerical Analysis · Mathematics 2026-04-27 Dakang Cen , Zhiyuan Li , Wenlong Zhang
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