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In the field of spatial computing, one of the most essential tasks is the pose estimation of 3D objects. While rigid transformations of arbitrary 3D objects are relatively hard to detect due to varying environment introducing factors like…

Computer Vision and Pattern Recognition · Computer Science 2024-09-24 Sining Huang , Yukun Song , Yixiao Kang , Chang Yu

Relative attitude formation control systems are developed for multiple spacecraft, based on the line-of-sight measurements between spacecraft in formation. The proposed control systems are unique in the sense that they do not require…

Optimization and Control · Mathematics 2012-09-14 Tse-Huai Wu , Taeyoung Lee

We introduce a novel concept for motion robust optical 3D-sensing. The concept is based on multi-line triangulation. The aim is to evaluate a large number of projected lines (high data density) in a large measurement volume with high…

Optics · Physics 2015-06-25 Florian Willomitzer , Svenja Ettl , Christian Faber , Gerd Häusler

This paper addresses questions regarding controllability for `generic parameter' dynamical systems, i.e. the question whether a dynamical system is `structurally controllable'. Unlike conventional methods that deal with structural…

Optimization and Control · Mathematics 2010-06-29 Madhu N. Belur , Sivaramakrishnan Sivasubramanian

Intersection scenarios provide the most complex traffic situations in Autonomous Driving and Driving Assistance Systems. Knowing where to stop in advance in an intersection is an essential parameter in controlling the longitudinal velocity…

Computer Vision and Pattern Recognition · Computer Science 2021-05-13 Runsheng Xu , Faezeh Tafazzoli , Li Zhang , Timo Rehfeld , Gunther Krehl , Arunava Seal

This work addresses the problem of designing an equivariant observer for a first order dynamical system on the unit-sphere. Building upon the established case of unit bearing vector dynamics with angular velocity inputs, we introduce an…

Systems and Control · Electrical Eng. & Systems 2025-12-17 Gil Serrano , Marcelo Jacinto , Bruno J. Guerreiro , Rita Cunha

The concept of observability of linear systems initiated with Kalman in the mid 1950s. Roughly a decade later, the observability of nonlinear systems appeared. By such definitions a system is either observable or not. Continuous measures of…

Chaotic Dynamics · Physics 2019-05-06 Luis A. Aguirre , Leonardo L. Portes , Christophe Letellier

The aim of this paper is to present a new method of approximation of planar data set using only arcs or segments. The first problem we are trying to solve is the following: the CNC machines can work only with simple curves (arcs or…

Numerical Analysis · Mathematics 2013-11-25 Maurizio Scarparo

Autonomous driving is regarded as one of the most promising remedies to shield human beings from severe crashes. To this end, 3D object detection serves as the core basis of perception stack especially for the sake of path planning, motion…

Computer Vision and Pattern Recognition · Computer Science 2026-02-09 Rui Qian , Xin Lai , Xirong Li

Recently, through development of several 3d vision systems, widely used in various applications, medical and biometric fields. Microsoft kinect sensor have been most of used camera among 3d vision systems. Microsoft kinect sensor can obtain…

Computer Vision and Pattern Recognition · Computer Science 2024-09-16 M. S. Gokmen , M. Akbaba , O. Findik

3D scatterplots are a well-established plotting technique that can be used to represent data with three or more dimensions. On paper and computer monitors they are essentially two-dimensional projections of the three-dimensional Cartesian…

Human-Computer Interaction · Computer Science 2026-01-05 Philippos Papaphilippou , Lucy Hederman

An algebraic characterization of the property of approximate controllability is given, for behaviours of spatially invariant dynamical systems, consisting of distributional solutions, that are periodic in the spatial variables, to a system…

Optimization and Control · Mathematics 2014-02-19 Amol Sasane

Nearly all 3D displays need calibration for correct rendering. More often than not, the optical elements in a 3D display are misaligned from the designed parameter setting. As a result, 3D magic does not perform well as intended. The…

Computer Vision and Pattern Recognition · Computer Science 2017-04-26 Hyoseok Hwang , Hyun Sung Chang , Dongkyung Nam , In So Kweon

The robotic shape control of deformable linear objects has garnered increasing interest within the robotics community. Despite recent progress, the majority of shape control approaches can be classified into two main groups: open-loop…

Robotics · Computer Science 2024-09-20 Azad Artinian , Faiz Ben Amar , Veronique Perdereau

We study the set of lines that meet a fixed line and are tangent to two spheres and classify the configurations consisting of a single line and three spheres for which there are infinitely many lines tangent to the three spheres that also…

Algebraic Geometry · Mathematics 2010-03-29 Gábor Megyesi , Frank Sottile

This paper proposes a process that uses two cameras to obtain three-dimensional (3D) information of a target object for human tracking. Results of human detection and tracking from two cameras are integrated to obtain the 3D information.…

Computer Vision and Pattern Recognition · Computer Science 2020-07-06 Shinya Matsubara , Akihiko Honda , Yonghoon Ji , Kazunori Umeda

Accurate interpretation of street-level imagery is essential for large-scale urban mapping and the creation of Spatial Digital Twin (SDT) environments. This work presents a unified framework for joint 2D-3D segmentation and association that…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Amir Melnikov , Masayuki Tanaka , Yusuke Monno , Masatoshi Okutomi

Orientation estimation is a fundamental task in 3D shape analysis which consists of estimating a shape's orientation axes: its side-, up-, and front-axes. Using this data, one can rotate a shape into canonical orientation, where its…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Christopher Scarvelis , David Benhaim , Paul Zhang

Many day-to-day activities require the dexterous manipulation of a redundant humanoid arm in complex 3D environments. However, position regulation of such robot arm systems becomes very difficult in presence of non-linear uncertainties in…

Robotics · Computer Science 2013-11-05 Tapomayukh Bhattacharjee , Yonghwan Oh , Sang-Rok Oh

The wheel of the train is a 3D revolving geometrical structure. Reconstructing the normal section profile is an effective approach to determine the critical geometric parameter and wear of the wheel in the community of railway safety. The…

Image and Video Processing · Electrical Eng. & Systems 2020-04-28 Junhua Sun , Zhou Zhang , Jie Zhang
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