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Reflections often degrade the visual quality of images captured through transparent surfaces, and reflection removal methods suffers from the shortage of paired real-world samples.This paper proposes a hybrid approach that combines…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 Zhengyang Lu , Weifan Wang , Tianhao Guo , Feng Wang

We consider the reflection of light, from a stationary source, off of a uniformly moving flat mirror, and derive the relativistic reflection law using well-known properties of conic sections. The effective surface of reflection (ESR) is…

Classical Physics · Physics 2016-09-06 Mohsen Maesumi

The fast algorithms in Fourier optics have invigorated multifunctional device design and advanced imaging technologies. However, the necessity for fast computations has led to limitations in the widely used conventional Fourier methods,…

Applied Physics · Physics 2024-06-25 Zhi Li , Xuhao Luo , Jing Wang , Xin Yuan , Dongdong Teng , Qiang Song , Huigao Duan

Accurate and fast 3D imaging of specular surfaces still poses major challenges for state-of-the-art optical measurement principles. Frequently used methods, such as phase-measuring deflectometry (PMD) or shape-from-polarization (SfP), rely…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Jiazhang Wang , Oliver Cossairt , Florian Willomitzer

High-order surface reconstruction is an important technique for CAD-free, mesh-based geometric and physical modeling, and for high-order numerical methods for solving partial differential equations (PDEs) in engineering applications. In…

Numerical Analysis · Mathematics 2024-12-20 Yipeng Li , Xinglin Zhao , Navamita Ray , Xiangmin Jiao

This paper proposes a new extrinsic calibration of kaleidoscopic imaging system by estimating normals and distances of the mirrors. The problem to be solved in this paper is a simultaneous estimation of all mirror parameters consistent…

Computer Vision and Pattern Recognition · Computer Science 2017-05-30 Kosuke Takahashi , Akihiro Miyata , Shohei Nobuhara , Takashi Matsuyama

Image of a scene captured through a piece of transparent and reflective material, such as glass, is often spoiled by a superimposed layer of reflection image. While separating the reflection from a familiar object in an image is mentally…

Computer Vision and Pattern Recognition · Computer Science 2018-02-02 Zhixiang Chi , Xiaolin Wu , Xiao Shu , Jinjin Gu

In this paper, we present a technique for estimating the geometry and reflectance of objects using only a camera, flashlight, and optionally a tripod. We propose a simple data capture technique in which the user goes around the object,…

Computer Vision and Pattern Recognition · Computer Science 2021-04-14 Daniel Lichy , Jiaye Wu , Soumyadip Sengupta , David W. Jacobs

Glass surfaces are ubiquitous in daily life, typically appearing colorless, transparent, and lacking distinctive features. These characteristics make glass surface detection a challenging computer vision task. Existing glass surface…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Tao Yan , Hao Huang , Yiwei Lu , Zeyu Wang , Ke Xu , Yinghui Wang , Xiaojun Chang , Rynson W. H. Lau

In this paper we present a differential approach to photo-polarimetric shape estimation. We propose several alternative differential constraints based on polarisation and photometric shading information and show how to express them in a…

Computer Vision and Pattern Recognition · Computer Science 2017-08-28 Silvia Tozza , William A. P. Smith , Dizhong Zhu , Ravi Ramamoorthi , Edwin R. Hancock

Hologram is an ideal method for naked eye three-dimensional (3D) display, and computer-generated holography (CGH) makes it possible to reconstruct virtual objects. However, the large pixel size of common CGH devices results in shortages in…

Optics · Physics 2019-09-13 Hui Gao , Yuxi Wang , Xuhao Fan , Fenzhang Jiao , Jinsong Xia , Wei Xiong , Minghui Hong

We provide an explicit geometric algorithm involving only ruler and compass constructions in order to specify the specular reflection point on the surface of a reflecting sphere of radius $r$ given two focal points $A$ and $B$ lying outside…

History and Overview · Mathematics 2017-03-21 Nikolaos K. Kollas

Computer-Generated Holography (CGH) algorithms often fall short in matching simulations with results from a physical holographic display. Our work addresses this mismatch by learning the holographic light transport in holographic displays.…

Optics · Physics 2022-06-16 Koray Kavaklı , Hakan Urey , Kaan Akşit

We consider the problem of minimization of a convex function on a simple set with convex non-smooth inequality constraint and describe first-order methods to solve such problems in different situations: smooth or non-smooth objective…

Optimization and Control · Mathematics 2018-01-30 Anastasia Bayandina , Pavel Dvurechensky , Alexander Gasnikov , Fedor Stonyakin , Alexander Titov

Based on realistic simulations, we propose an hybrid method to reconstruct the lensing potential power spectrum, directly on PLANCK-like CMB frequency maps. It implies using a large galactic mask and dealing with a strong inhomogeneous…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-20 S. Plaszczynski , A. Lavabre , L. Perotto , J. -L. Starck

Reliable control of the deposition process of optical films and coatings frequently requires monitoring of the refractive index profile throughout the layer. In the present work a simple in situ approach is proposed which uses a WKBJ matrix…

Optics · Physics 2009-10-31 Daniel Poitras , Ludvik Martinu

This paper tackles the task of uncalibrated photometric stereo for 3D object reconstruction, where both the object shape, object reflectance, and lighting directions are unknown. This is an extremely difficult task, and the challenge is…

Computer Vision and Pattern Recognition · Computer Science 2022-07-19 Junxuan Li , Hongdong Li

Manufacturing of free form parts relies on the calculation of a tool path based on a CAD model, on a machining strategy and on a given numerically controlled machine tool. In order to reach the best possible performances, it is necessary to…

Other Computer Science · Computer Science 2009-04-08 Christophe Tournier , Sylvain Lavernhe , Claire Lartigue

This paper presents a detailed discussion of the ``Newton's method'' algorithm for finding apparent horizons in 3+1 numerical relativity. We describe a method for computing the Jacobian matrix of the finite differenced $H(h)$ function by…

General Relativity and Quantum Cosmology · Physics 2009-07-10 Jonathan Thornburg

Inspired by the recent paper (L. Ying, Mirror descent algorithms for minimizing interacting free energy, Journal of Scientific Computing, 84 (2020), pp. 1-14),we explore the relationship between the mirror descent and the variable metric…

Optimization and Control · Mathematics 2021-06-28 Li Wang , Ming Yan