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Numerous applications require the simultaneous redistribution of the irradiance and phase of a laser beam. The beam shape is thereby determined by the respective application. An elegant way to control the irradiance and phase at the same…

Optics · Physics 2017-04-25 Christoph Bösel , Norman G. Worku , Herbert Gross

We propose a method for designing refractive optical elements for collimated beam shaping. In this method, the problem of finding a ray mapping is formulated as a linear assignment problem, which is a discrete version of the corresponding…

Designing a freeform surface to reflect or refract light to achieve a target distribution is a challenging inverse problem. In this paper, we propose an end-to-end optimization strategy for an optical surface mesh. Our formulation leverages…

Graphics · Computer Science 2025-05-08 Yuou Sun , Bailin Deng , Juyong Zhang

In this work we propose a coverage planning control approach which allows a mobile agent, equipped with a controllable sensor (i.e., a camera) with limited sensing domain (i.e., finite sensing range and angle of view), to cover the surface…

In this paper we propose a method to compute a freeform reflector system for collimating and shaping a beam from a point source. We construct these reflectors such that the radiant intensity of the source is converted into a desired target.…

Displacement mapping is an important tool for modeling detailed geometric features. We explore the problem of authoring complex surfaces while ray tracing interactively. Current techniques for ray tracing displaced surfaces rely on…

Graphics · Computer Science 2025-02-05 Rama Carl Hoetzlein

Randomly sampling points on surfaces is an essential operation in geometry processing. This sampling is computationally straightforward on explicit meshes, but it is much more difficult on other shape representations, such as widely-used…

Graphics · Computer Science 2025-06-16 Selena Ling , Abhishek Madan , Nicholas Sharp , Alec Jacobson

An indoor robot navigation system is investigated, where an intelligent reflecting surface (IRS) is employed to enhance the connectivity between the access point (AP) and a mobile robotic user. The considered system is optimized for…

Signal Processing · Electrical Eng. & Systems 2020-09-25 Xidong Mu , Yuanwei Liu , Li Guo , Jiaru Lin , Robert Schober

Inverse problems have many applications in science and engineering. In Computer vision, several image restoration tasks such as inpainting, deblurring, and super-resolution can be formally modeled as inverse problems. Recently, methods have…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Sai Bharath Chandra Gutha , Ricardo Vinuesa , Hossein Azizpour

This study presents a spiral-based complete coverage strategy for ball-end milling on freeform surfaces, utilizing conformal slit mapping to generate milling trajectories that are more compact, smoother, and evenly distributed when…

Graphics · Computer Science 2025-04-15 Changqing Shen , BingZhou Xu , Xiaojian Zhang , Sijie Yan , Han Ding

We use conformal maps to study a free boundary problem for a two-fluid electromechanical system, where the interface between the fluids is determined by the combined effects of electrostatic forces, gravity and surface tension. The free…

Mathematical Physics · Physics 2015-06-19 Stuart Kent , Shankar C. Venkataramani

We present an effective method for visualizing flat surfaces using ray marching. Our approach provides an intuitive way to explore translation surfaces, mirror rooms, unfolded polyhedra, and translation prisms while maintaining…

Graphics · Computer Science 2025-06-10 Fabian Lander , Diaaeldin Taha

A universal and flexible design method for freeform surface that can modulate the distribution of an zero-\'etendue source to an arbitrary irradiance distribution is a significant challenge in the field of non-imaging optics. Current design…

Optics · Physics 2023-03-31 Haoqiang Wang , Zihan Zang , Yunpeng Xu , Yanjun Han , Hongtao Li , Yi Luo

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

Radio propagation modeling is essential in telecommunication research, as radio channels result from complex interactions with environmental objects. Recently, Machine Learning has been attracting attention as a potential alternative to…

The tolerance analysis of freeform surfaces plays a crucial role in the development of advanced imaging systems. However, the intricate relationship between surface error and imaging quality poses significant challenges, necessitating dense…

Optics · Physics 2024-07-08 Rundong Fan , Shili Wei , Zhuang Qian , Huiru Ji , Hao Tan , Yan Mo , Donglin Ma

Sample based ray marching is an effective method for direct volume rendering of unstructured meshes. However, sampling such meshes remains expensive, and strategies to reduce the number of samples taken have received relatively little…

Graphics · Computer Science 2019-08-07 Nathan Morrical , Will Usher , Ingo Wald , Valerio Pascucci

Non-imaging optical lenses can shape the light intensity from incoherent sources to a desired target intensity profile, which is important for applications in lighting, solar light concentration, and optical beam shaping. Their surface…

With the development in freeform technology, it has now become more and more feasible to use freeform surfaces in real system designs. While the freeform surfaces helping optical designers achieve more and more challenging system features,…

Applied Physics · Physics 2018-11-06 Chang Liu , Herbert Gross

A path integral formulation is developed to study the spectrum of radiation from a perfectly reflecting (conducting) surface. It allows us to study arbitrary deformations in space and time. The spectrum is calculated to second order in the…

Quantum Physics · Physics 2009-10-31 Faez Miri , Ramin Golestanian
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