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Typical Structure-from-Motion (SfM) pipelines rely on finding correspondences across images, recovering the projective structure of the observed scene and upgrading it to a metric frame using camera self-calibration constraints. Solving…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Rui Gong , Danda Pani Paudel , Ajad Chhatkuli , Luc Van Gool

The conception of the conformal phase transiton (CPT), which is relevant for the description of non-perturbative dynamics in gauge theories, is introduced and elaborated. The main features of such a phase transition are established. In…

High Energy Physics - Theory · Physics 2014-11-18 V. A. Miransky , Koichi Yamawaki

We show how to design an optical device that can perform any linear function or coupling between inputs and outputs. This design method is progressive, requiring no global optimization. We also show how the device can configure itself…

Optics · Physics 2013-06-12 David A. B. Miller

Vectorial structured light with spatially varying amplitude, phase, and polarization is reshaping many areas of modern optics, including nonlinear optics, as diverse parametric processes can be used to explore interactions between such…

This paper studies conformal biharmonic immersions. We first study the transformations of Jacobi operator and the bitension field under conformal change of metrics. We then obtain an invariant equation for a conformal biharmonic immersion…

Differential Geometry · Mathematics 2008-08-19 Ye-Lin Ou

The classification of electron systems according to their topology has been at the forefront of condensed matter research in recent years. It has been found that systems of the same symmetry, previously thought of as equivalent, may in fact…

Strongly Correlated Electrons · Physics 2015-01-09 Jan Borchmann , Aaron Farrell , Shunji Matsuura , T. Pereg-Barnea

In order to study real-world systems, many applied works model them through signed graphs, i.e. graphs whose edges are labeled as either positive or negative. Such a graph is considered as structurally balanced when it can be partitioned…

Robotics · Computer Science 2022-03-31 Nejat Arinik , Rosa Figueiredo , Vincent Labatut

Conformal techniques, based on the covariance of Maxwell's electrodynamics under the full conformal group in four spacetime dimensions, are discussed in relation with the constant input impedance properties of frequency-independent…

Classical Physics · Physics 2020-08-27 Franco Fiorini , Leonardo Morbidel , Pablo A. Costanzo Caso

Emerging applications in Printed Circuit Board (PCB) routing impose new challenges on automatic length matching, including adaptability for any-direction traces with their original routing preserved for interactiveness. The challenges can…

Hardware Architecture · Computer Science 2024-07-30 Weijie Fang , Longkun Guo , Jiawei Lin , Silu Xiong , Huan He , Jiacen Xu , Jianli Chen

Temperature imaging of nanoscale systems is a fundamental problem which has myriad potential technological applications. For example, nanoscopic cold spots can be used for spot cooling electronic components while hot spots could be used for…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Abhay Shastry , Sosuke Inui , Charles A. Stafford

Conformal transformations of the following kinds are compared: (1) conformal coordinate transformations, (2) conformal transformations of Lagrangian models for a D-dimensional geometry, given by a Riemannian manifold M with metric g of…

General Relativity and Quantum Cosmology · Physics 2009-10-22 M. Rainer

The convergence of an adaptive mixed finite element method for general second order linear elliptic problems defined on simply connected bounded polygonal domains is analyzed in this paper. The main difficulties in the analysis are posed by…

Numerical Analysis · Mathematics 2014-02-14 Asha K. Dond , Neela Nataraj , Amiya K. Pani

The last couple of years have seen an ever-increasing interest in using different Ising solvers, like Quantum annealers, Coherent Ising machines, and Oscillator-based Ising machines, for solving tough computational problems in various…

Emerging Technologies · Computer Science 2024-04-09 Abhishek Kumar Singh , Kyle Jamieson

The classical alternating minimization (or projection) algorithm has been successful in the context of solving optimization problems over two variables. The iterative nature and simplicity of the algorithm has led to its application to many…

Information Theory · Computer Science 2010-08-24 Urs Niesen , Devavrat Shah , Gregory Wornell

Finding correspondences between shapes is a fundamental problem in computer vision and graphics, which is relevant for many applications, including 3D reconstruction, object tracking, and style transfer. The vast majority of correspondence…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Maolin Gao , Zorah Lähner , Johan Thunberg , Daniel Cremers , Florian Bernard

In a scanning transmission electron microscope (STEM), producing a high-resolution image generally requires an electron beam focused to the smallest point possible. However, the magnetic lenses used to focus the beam are unavoidably…

The paper proposes a novel approach for the geometrical model calibration of quasi-isotropic parallel kinematic mechanisms of the Orthoglide family. It is based on the observations of the manipulator leg parallelism during motions between…

Robotics · Computer Science 2009-11-02 Anatoly Pashkevich , Damien Chablat , Philippe Wenger , Roman Gomolitsky

With the advent of autonomous vehicles, LiDAR and cameras have become an indispensable combination of sensors. They both provide rich and complementary data which can be used by various algorithms and machine learning to sense and make…

Robotics · Computer Science 2017-05-30 Ankit Dhall , Kunal Chelani , Vishnu Radhakrishnan , K. M. Krishna

In many applications of autonomous mobile robots the following problem is encountered. Two maps of the same environment are available, one a prior map and the other a sensor map built by the robot. To benefit from all available information…

Robotics · Computer Science 2018-07-03 Saeed Gholami Shahbandi , Martin Magnusson

Template matching is a fundamental task in computer vision and has been studied for decades. It plays an essential role in manufacturing industry for estimating the poses of different parts, facilitating downstream tasks such as robotic…

Computer Vision and Pattern Recognition · Computer Science 2024-08-21 Zhirui Gao , Renjiao Yi , Zheng Qin , Yunfan Ye , Chenyang Zhu , Kai Xu