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General description of an on-line procedure of calibration for IGRT (Image Guided Radiotherapy) is given. The algorithm allows to improve targeting cancer by estimating its position in space and suggests appropriate correction of the…

Medical Physics · Physics 2019-04-02 R. A. Kycia , Z. Tabor , A. Woszczyna , D. Kabat , M. Tulik , Z. Latała

The geometric calibration of the Planck satellite using the planetary transits is investigated, together with the reconstruction of any offsets from the nominal layout of the focal plane. The methods presented here may be applied to a…

Astrophysics · Physics 2009-11-13 D. L. Harrison , F. van Leeuwen

In the paper, we represent a comparison analysis of the methods of the topological alignment and extract the main mathematical principles forming the base of the concept. The main narrative is devoted to the so-called coupled methods…

Functional Analysis · Mathematics 2025-10-31 Mikhail S. Arbatskii , Maksim V. Kukushkin , Dmitriy E. Balandin , Alexey V. Churov

The alignment of optical systems is a critical step in their manufacture. Alignment normally requires considerable knowledge and expertise of skilled operators. The automation of such processes has several potential advantages, but requires…

The complexity and accuracy of current and future precision cosmology observational campaigns has made it essential to develop an efficient technique for directly combining simulation and observational datasets to determine cosmological and…

Astrophysics · Physics 2009-11-11 Katrin Heitmann , David Higdon , Charles Nakhleh , Salman Habib

Multiple LiDARs have progressively emerged on autonomous vehicles for rendering a wide field of view and dense measurements. However, the lack of precise calibration negatively affects their potential applications in localization and…

Robotics · Computer Science 2019-05-14 Jianhao Jiao , Yang Yu , Qinghai Liao , Haoyang Ye , Ming Liu

An overview of current multiple alignment systems to date are described.The useful algorithms, the procedures adopted and their limitations are presented.We also present the quality of the alignments obtained and in which cases(kind of…

Data Structures and Algorithms · Computer Science 2009-01-20 Fahad Saeed , Ashfaq Khokhar

In this paper we establish a generally and globally valid coordinate system in curved space-time with the simultaneous hypersurface orthogonal to the time coordinate. The time coordinate can be preseted according to practical evolving…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Ying-Qiu Gu

A coordinate system is proposed that replaces the usual three-dimensional Cartesian x,y,z position coordinates, for use in robotic localization applications. Range, azimuth, and elevation measurement models become greatly simplified, and,…

Robotics · Computer Science 2021-09-21 Charles Champagne Cossette , Mohammed Shalaby , David Saussié , James Richard Forbes

LiDAR-camera calibration is a precondition for many heterogeneous systems that fuse data from LiDAR and camera. However, the constraint from common field of view and the requirement for strict time synchronization make the calibration a…

Robotics · Computer Science 2019-07-31 Bo Fu , Yue Wang , Xiaqing Ding , Yanmei Jiao , Li Tang , Rong Xiong

We introduce the notion of an approximation system as a generalization of Taylor approximation, and we give some first examples. Next we develop the general theory, including error bounds and a sufficient criterion for convergence. More…

Classical Analysis and ODEs · Mathematics 2017-10-20 Victor A. Pessers , Tom H. Koornwinder

The paper presents a novel technique for the design of optimal calibration experiments for a planar anthropomorphic manipulator with n degrees of freedom. Proposed approach for selection of manipulator configurations allows essentially…

Robotics · Computer Science 2012-12-04 Alexandr Klimchik , Yier Wu , Stéphane Caro , Anatol Pashkevich

New measures for the quantization of systems with constraints are discussed and applied to several examples, in particular, examples of alternative but equivalent formulations of given first-class constraints, as well as a comparison of…

Quantum Physics · Physics 2007-05-23 John R. Klauder

We describe coordinate systems adapted for the space between two surfaces, such as those delineating the highly folded cortex in mammalian brains. These systems are estimated in order to satisfy geometric priors, including streamline…

Optimization and Control · Mathematics 2019-11-20 Laurent Younes , Kwame S. Kutten , J. Tilak Ratnanather

The paper proposes a novel calibration approach for the Orthoglide-type mechanisms based on observations of the manipulator leg parallelism during motions between the prespecified test postures. It employs a low-cost measuring system…

Robotics · Computer Science 2007-05-23 Anatoly Pashkevich , Damien Chablat , Philippe Wenger

The paper proposes a novel calibration approach for the Orthoglide-type mechanisms based on observations of the manipulator leg parallelism during mo-tions between the prespecified test postures. It employs a low-cost measuring system…

Robotics · Computer Science 2007-11-13 Anatoly Pashkevich , Damien Chablat , Philippe Wenger

This paper presents a novel automatic calibration system to estimate the extrinsic parameters of LiDAR mounted on a mobile platform for sensor misalignment inspection in the large-scale production of highly automated vehicles. To obtain…

Image and Video Processing · Electrical Eng. & Systems 2020-08-25 Ji-Hwan You , Seon Taek Oh , Jae-Eun Park , Azim Eskandarian , Young-Keun Kim

Adaptive (or deformable) mirrors are widely used as wavefront correctors in adaptive optics systems. The optical calibration of an adaptive mirror is a fundamental step during its life-cycle: the process is in facts required to compute a…

Instrumentation and Methods for Astrophysics · Physics 2022-10-11 Runa Briguglio , Marco Xompero , Armando Riccardi

With 3D sensing becoming cheaper, environment-aware and visually-guided robot arms capable of safely working in collaboration with humans will become common. However, a reliable calibration is needed, both for camera internal calibration,…

Robotics · Computer Science 2019-02-18 Justinas Miseikis , Kyrre Glette , Ole Jakob Elle , Jim Torresen

This gives some information about the conformal point and the calibrating conic, and their relationship one to the other. These concepts are useful for visualizing image geometry, and lead to intuitive ways to compute geometry, such as…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Richard Hartley
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