Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Geometry of Hyperbolas01:30

Geometry of Hyperbolas

571
A hyperbola consists of all points where the absolute difference of distances to two fixed points, called foci, remains constant. The standard equation isEach branch extends infinitely and approaches two asymptotes, which guide the curve’s behavior. The parameters a and b define key features: a measures the distance from the center to each vertex along the transverse axis, while b influences the slopes of the asymptotes. The asymptotes have equationsA rectangle centered at the origin with...
571
Vector Algebra: Graphical Method01:10

Vector Algebra: Graphical Method

18.5K
Vectors can be multiplied by scalars, added to other vectors, or subtracted from other vectors. The vector sum of two (or more) vectors is called the resultant vector or, for short, the resultant.
We use the laws of geometry to construct resultant vectors, followed by trigonometry to find vector magnitudes and directions. For a geometric construction of the sum of two vectors in a plane, we follow the parallelogram rule. Suppose two vectors are at arbitrary positions. Translate either one of...
18.5K
Velocity and Position by Graphical Method01:34

Velocity and Position by Graphical Method

11.0K
Velocity and position can be calculated from the known function of acceleration as a function of time. The total area under the acceleration-time graph and the velocity-time graph gives the change in velocity and position, respectively. In the case of an airplane, its acceleration is tracked using the inertial navigation system. The pilot provides the input of the airplane's initial position and velocity before takeoff. The inertial navigation system then uses the acceleration data to...
11.0K
Orthogonal Trajectories01:26

Orthogonal Trajectories

124
Orthogonal trajectories describe the geometric relationship between two families of curves that intersect each other at right angles. One illustrative case involves a family of parabolas that open sideways along the x-axis. These curves share a common shape but differ by a scaling parameter, resulting in a set of curves that all pass through the origin and widen at different rates.Determining Orthogonal TrajectoriesTo identify the orthogonal trajectories for these parabolas, the first step...
124
Curvilinear Motion: Rectangular Components01:23

Curvilinear Motion: Rectangular Components

1.4K
Curvilinear motion characterizes the movement of a particle or object along a curved path, notably evident when envisioning a car navigating a winding road. If the car starts at point A, its position vector is established within a fixed frame of reference, where the ratio of the position vector to its magnitude signifies the unit vector pointing in the position vector's direction.
As the car advances, its position evolves over time. Quantifying the car's velocity involves computing the...
1.4K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

A generalizable eye disease detection method based on Zero-Shot Learning.

Communications medicine·2026
Same author

The Influence of Hobby Engagement on Cognitive Function Among Older Adults: A Population-Based Cohort Study Using Statistical Analysis and Machine Learning Predictions.

Neurology international·2025
Same author

Circular RNA PTPN4 Contributes to Blood-Brain Barrier Disruption during Early Epileptogenesis.

Advanced science (Weinheim, Baden-Wurttemberg, Germany)·2025
Same author

Preliminary Functional Outcome Following Robotic Intracorporeal Orthotopic Ileal Neobladder with Integrated Pelvic Fascial Structure-Sparing in Males with Bladder Cancer.

Urology journal·2025
Same author

Astrocytic AEG-1 drives neuroinflammation and enhances seizure susceptibility.

Neurobiology of disease·2025
Same author

Skeletal Rearrangement of Azo Compounds Enables Low-Potential, High-capacity Organic Anodes for Rechargeable Alkaline Batteries.

Angewandte Chemie (International ed. in English)·2024
Same journal

An Evolutionary Algorithm Assisted by an Ensemble of Pareto-Optimal Surrogate Models.

IEEE transactions on cybernetics·2026
Same journal

A Quantum Self-Attention Neural Network Model on Quantum Circuits.

IEEE transactions on cybernetics·2026
Same journal

Semi-Explicit Solution of Some Discrete-Time Higher-Order-Cost Mean-Field-Type Control.

IEEE transactions on cybernetics·2026
Same journal

A Novel One-Step Small Object Detector for Autonomous Aerial Vehicles.

IEEE transactions on cybernetics·2026
Same journal

Online Data-Driven-Based Optimal Output Tracking Control Without Initial Stabilizing Policy.

IEEE transactions on cybernetics·2026
Same journal

Digital Redesign-Based Interval State Estimation for Continuous Systems With Aperiodic Discrete Measurements.

IEEE transactions on cybernetics·2026
See all related articles

Related Experiment Video

Updated: Mar 11, 2026

A Methodology for Capturing Joint Visual Attention Using Mobile Eye-Trackers
12:39

A Methodology for Capturing Joint Visual Attention Using Mobile Eye-Trackers

Published on: January 18, 2020

8.3K

Geometric Hypergraph Learning for Visual Tracking.

Dawei Du, Honggang Qi, Longyin Wen

    IEEE Transactions on Cybernetics
    |November 23, 2016
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel geometric hypergraph learning method for visual tracking. It improves robustness by leveraging high-order geometric relations, outperforming existing trackers on challenging datasets.

    More Related Videos

    VisioTracker, an Innovative Automated Approach to Oculomotor Analysis
    05:51

    VisioTracker, an Innovative Automated Approach to Oculomotor Analysis

    Published on: October 12, 2011

    11.6K
    Utilizing vmTracking to Improve the Accuracy of Multi-Animal Pose Estimation in Rodent Social Behavior Studies
    07:34

    Utilizing vmTracking to Improve the Accuracy of Multi-Animal Pose Estimation in Rodent Social Behavior Studies

    Published on: November 7, 2025

    411

    Related Experiment Videos

    Last Updated: Mar 11, 2026

    A Methodology for Capturing Joint Visual Attention Using Mobile Eye-Trackers
    12:39

    A Methodology for Capturing Joint Visual Attention Using Mobile Eye-Trackers

    Published on: January 18, 2020

    8.3K
    VisioTracker, an Innovative Automated Approach to Oculomotor Analysis
    05:51

    VisioTracker, an Innovative Automated Approach to Oculomotor Analysis

    Published on: October 12, 2011

    11.6K
    Utilizing vmTracking to Improve the Accuracy of Multi-Animal Pose Estimation in Rodent Social Behavior Studies
    07:34

    Utilizing vmTracking to Improve the Accuracy of Multi-Animal Pose Estimation in Rodent Social Behavior Studies

    Published on: November 7, 2025

    411

    Area of Science:

    • Computer Vision
    • Machine Learning
    • Pattern Recognition

    Background:

    • Graph-based methods are common in visual tracking, but often rely on pairwise relations.
    • Existing methods struggle with target deformation and occlusion due to limited use of intrinsic structure.
    • Pairwise affinities can be disturbed by errors, impacting tracking accuracy.

    Purpose of the Study:

    • To propose a robust visual tracking method using geometric hypergraph learning.
    • To exploit high-order geometric relations among multiple correspondences for improved tracking.
    • To enhance tracker scalability and robustness through confidence-aware sampling.

    Main Methods:

    • Formulating visual tracking as a mode-seeking problem on a hypergraph.
    • Representing correspondence hypotheses as vertices and high-order relations as hyperedges.
    • Developing a confidence-aware sampling method for constructing the geometric hypergraph.

    Main Results:

    • The proposed method effectively utilizes high-order geometric relations.
    • Confidence-aware sampling enhances hypergraph robustness and scalability.
    • Experiments show favorable performance against existing trackers on benchmark datasets.

    Conclusions:

    • Geometric hypergraph learning offers a powerful approach for visual tracking.
    • Exploiting high-order relations significantly improves tracking performance under challenging conditions.
    • The method demonstrates superior robustness and scalability compared to traditional graph-based trackers.