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In the conventional approach to lens imaging, rays are used to map object points to image points. However, many students have a need to think of the image as a whole. To answer this need, lens imaging is reinterpreted as a superposition of…

Physics Education · Physics 2016-01-20 Sascha Grusche

Paraxial ray tracing procedures have become widely accepted techniques for acoustic models in seismology and underwater acoustics. To date a generic form of these procedures including fluid motion and time dependence has not appeared in the…

Atmospheric and Oceanic Physics · Physics 2009-11-10 David Bergman

There is ongoing interest in adopting various tools and ideas from general relativity for optical applications and the study of light propagation through natural or engineered media. Here, the covariant kinematics of light propagating…

General Relativity and Quantum Cosmology · Physics 2017-11-15 Robert T. Thompson , Mohsen Fathi

The physical world consists of spatially varying media, such as the atmosphere and the ocean, in which light and sound propagates along non-linear trajectories. This presents a challenge to existing ray-tracing based methods, which are…

Graphics · Computer Science 2014-09-16 Qi Mo , Hengchin Yeh , Dinesh Manocha

Radiance is widely regarded as the principal quantity in light transport theory. Yet, the concept of radiance in use today has remained mostly unchanged since Lambert's work in the 18th century. His formulation of the measurement of light…

General Physics · Physics 2012-05-22 Christian Lessig , Eugene Fiume , Mathieu Desbrun

Nonlinear optical cavities are crucial both in classical and quantum optics; in particular, nowadays optical parametric oscillators are one of the most versatile and tunable sources of coherent light, as well as the sources of the highest…

Quantum Physics · Physics 2016-03-22 Carlos Navarrete-Benlloch , Eugenio Roldán , Yue Chang , Tao Shi

Optical images of transparent three-dimensional objects can be different from a replica of the object's cross section in the image plane due to refraction at the surface or in the body of the object. Simulations of the object's image are…

Derivatives of computer graphics, image processing, and deep learning algorithms have tremendous use in guiding parameter space searches, or solving inverse problems. As the algorithms become more sophisticated, we no longer only need to…

Graphics · Computer Science 2019-08-30 Tzu-Mao Li

Lens design uses a calculation of the lens' surfaces that permit to obtain an image from a given object. A set of general rules and laws permits to calculate the essential points of the optical system such as distances, thickness, pupils,…

Optics · Physics 2019-12-13 Juan Camilo Valencia-Estrada , Jorge Garcia-Marquez

Motion is a fundamental cue for scene analysis and human activity understan- ding in videos. It can be encoded in trajectories for tracking objects and for action recognition, or in form of flow to address behaviour analysis in crowded…

Computer Vision and Pattern Recognition · Computer Science 2015-09-30 Eduardo M. Pereira , Jaime S. Cardoso , Ricardo Morla

Searching for a unified scene representation remains a research challenge in computer graphics. Traditional mesh-based representations are unsuitable for dense, fuzzy elements, and introduce additional complexity for filtering and…

Graphics · Computer Science 2024-09-24 Yang Zhou , Songyin Wu , Ling-Qi Yan

Two core competencies of a mobile robot are to build a map of the environment and to estimate its own pose on the basis of this map and incoming sensor readings. To account for the uncertainties in this process, one typically employs…

Robotics · Computer Science 2019-10-24 Alexander Schaefer , Lukas Luft , Wolfram Burgard

We propose LIRF (Local Implicit Ray Function), a generalizable neural rendering approach for novel view rendering. Current generalizable neural radiance fields (NeRF) methods sample a scene with a single ray per pixel and may therefore…

Computer Vision and Pattern Recognition · Computer Science 2023-04-26 Xin Huang , Qi Zhang , Ying Feng , Xiaoyu Li , Xuan Wang , Qing Wang

Emerging quality requirements in modern optical systems increase the need for accurate simulation and compensation of disturbances. One key disturbance in high-power laser applications results from thermal loading due to absorption. This…

Optics · Physics 2025-06-24 Mark Kurcsics , Peter Eberhard

Ray tracing has become a standard for accurate radio propagation modeling, but suffers from exponential computational complexity, as the number of candidate paths scales with the number of objects raised to the interaction order. This…

Concatenated backward ray mapping is an alternative for ray tracing in 2D. It is based on the phase-space description of an optical system. Phase space is the set of position and direction coordinates of light rays intersecting a surface.…

General covariant expressions for measurable angles, distances, velocities, and accelerations are provided in terms of fundamental parameters that can be applied in any setup. The relativistic aberration of light relationship is presented…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Dmitri Lebedev , Kayll Lake

The single-particle Green's function (GF) of mesoscopic structures plays a central role in mesoscopic quantum transport. The recursive GF technique is a standard tool to compute this quantity numerically, but it lacks physical transparency…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 Shu-Hui Zhang , Wen Yang , Kai Chang

The data-driven approach to robot control has been gathering pace rapidly, yet generalization to unseen task domains remains a critical challenge. We argue that the key to generalization is representations that are (i) rich enough to…

Robotics · Computer Science 2023-12-05 Bo Ai , Zhanxin Wu , David Hsu

Real-time global illumination is key to enabling more dynamic and physically realistic worlds in performance-critical applications such as games or any other applications with real-time constraints.Hardware-accelerated ray tracing in modern…