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Collision detection is a critical functionality for robotics. The degree to which objects collide cannot be represented as a continuously differentiable function for any shapes other than spheres. This paper proposes a framework for…

Computational Geometry · Computer Science 2025-03-11 Andrew Cinar , Yue Zhao , Forrest Laine

We analyze the fundamental quantum limit of the resolution of an optical imaging system from the perspective of the detection problem of deciding whether the optical field in the image plane is generated by one incoherent on-axis source…

Quantum Physics · Physics 2018-12-10 Xiao-Ming Lu , Hari Krovi , Ranjith Nair , Saikat Guha , Jeffrey H. Shapiro

We analyze the performance of a planar lens based on realistic negative index material in a generalized geometry. We demonstrate that the conventional superlens design (where the lens is centered between the object and the image) is not…

Optics · Physics 2016-09-08 Viktor A. Podolskiy , Nicholas A. Kuhta , Graeme W. Milton

We consider discretized two-dimensional PDE-constrained shape optimization problems, in which shapes are represented by triangular meshes. Given the connectivity, the space of admissible vertex positions was recently identified to be a…

Optimization and Control · Mathematics 2023-08-17 Roland Herzog , Estefanía Loayza-Romero

In most analytical studies of light ray propagation in curved spacetimes around a gravitating object surrounded by a medium, it is assumed that the medium is a cold nonmagnetized plasma. The distinctive feature of this environment is that…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Barbora Bezděková , Oleg Yu. Tsupko , Christian Pfeifer

We consider the radiation transfer problem in the discrete-ordinate, plane-parallel approach. We introduce two benchmark problems with exact known solutions and show that for strongly non-homogeneous media the homogeneous layers…

Computational Physics · Physics 2007-05-23 M. -P. Zorzano , A. M. Mancho , L. Vazquez

A sample of 11 thousand galaxies with radial velocities V_ LG < 3500 km/s is used to study the features of the local distribution of luminous (stellar) and dark matter within a sphere of radius of around 50 Mpc around us. The average…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 I. D. Karachentsev

Object detection remains as one of the most notorious open problems in computer vision. Despite large strides in accuracy in recent years, modern object detectors have started to saturate on popular benchmarks raising the question of how…

Computer Vision and Pattern Recognition · Computer Science 2020-04-08 Ali Borji

Boundaries are among the primary visual cues used by human and computer vision systems. One of the key problems in boundary detection is the label representation, which typically leads to class imbalance and, as a consequence, to thick…

Computer Vision and Pattern Recognition · Computer Science 2022-09-09 Edoardo Mello Rella , Ajad Chhatkuli , Yun Liu , Ender Konukoglu , Luc Van Gool

We are used to describe the detection of light in terms of particles and its propagation from the source to the detection, by waves. For instance, the slowing down of light in a transparent medium is always explained within the…

General Physics · Physics 2011-06-21 Marcel Urban , Francois Couchot , Sylvie Dagoret Campagne , Xavier Sarazin

We propose a new video camouflaged object detection (VCOD) framework that can exploit both short-term dynamics and long-term temporal consistency to detect camouflaged objects from video frames. An essential property of camouflaged objects…

Computer Vision and Pattern Recognition · Computer Science 2022-03-16 Xuelian Cheng , Huan Xiong , Deng-Ping Fan , Yiran Zhong , Mehrtash Harandi , Tom Drummond , Zongyuan Ge

Advances in vectorial polarisation-resolved imaging are bringing new capabilities to applications ranging from fundamental physics through to clinical diagnosis. Imaging polarimetry requires determination of the Mueller matrix (MM) at every…

Under study are some vector optimization problems over the space of Minkowski balls, i.e., symmetric convex compact subsets in Euclidean space. A typical problem requires to achieve the best result in the presence of conflicting goals;…

Metric Geometry · Mathematics 2013-05-14 S. S Kutateladze

For a model convection-diffusion problem, we address the presence of oscillatory discrete solutions, and study difficulties in recovering standard approximation results for its solution. We justify the presence of non-physical oscillations…

Numerical Analysis · Mathematics 2026-01-15 Constantin Bacuta

Electromagnetic Inverse Scattering Problems (EISP) have gained wide applications in computational imaging. By solving EISP, the internal relative permittivity of the scatterer can be non-invasively determined based on the scattered…

Computer Vision and Pattern Recognition · Computer Science 2024-07-15 Ziyuan Luo , Boxin Shi , Haoliang Li , Renjie Wan

We consider an ideal invisibility cloak which is illuminated by monochromatic light and which moves in vacuum at constant relativistic velocity with respect to the common inertial frame of light source and observer. We show that, in…

Optics · Physics 2016-02-03 Jad C. Halimeh , Robert T. Thompson , Martin Wegener

The construction of highly incoherent frames, sequences of vectors placed on the unit hyper sphere of a finite dimensional Hilbert space with low correlation between them, has proven very difficult. Algorithms proposed in the past have…

Information Theory · Computer Science 2016-11-28 Cristian Rusu , Nuria González-Prelcic

It is interesting to observe that all optical materials with a positive refractive index have a value of index that is of order unity. Surprisingly, though, a deep understanding of the mechanisms that lead to this universal behavior seems…

In computer vision, the indexing problem is the problem of recognizing a few objects in a large database of objects while avoiding the help of the classical image-feature-to-object-feature matching paradigm. In this paper we address the…

Computer Vision and Pattern Recognition · Computer Science 2023-11-22 Radu Horaud , Humberto Sossa

The "dirty" image made by direct Fourier inversion of visibility data is an important first step in inteferometric imaging. This is where the "deconvolution problem" is defined and the degree to which that problem is either well- or…

Instrumentation and Methods for Astrophysics · Physics 2025-10-22 Robert Braun