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

Vector Components in the Cartesian Coordinate System01:29

Vector Components in the Cartesian Coordinate System

26.8K
Vectors are usually described in terms of their components in a coordinate system. Even in everyday life, we naturally invoke the concept of orthogonal projections in a rectangular coordinate system. For example, if someone gives you directions for a particular location, you will be told to go a few km in a direction like east, west, north, or south, along with the angle in which you are supposed to move. In a rectangular (Cartesian) xy-coordinate system in a plane, a point in a plane is...
26.8K
Vector Algebra: Method of Components01:08

Vector Algebra: Method of Components

18.8K
It is cumbersome to find the magnitudes of vectors using the parallelogram rule or using the graphical method to perform mathematical operations like addition, subtraction, and multiplication. There are two ways to circumvent this algebraic complexity. One way is to draw the vectors to scale, as in navigation, and read approximate vector lengths and angles (directions) from the graphs. The other way is to use the method of components.
In many applications, the magnitudes and directions of...
18.8K
Mesh Analysis01:20

Mesh Analysis

1.4K
Mesh analysis is a valuable method for simplifying circuit analysis using mesh currents as key circuit variables. Unlike nodal analysis, which focuses on determining unknown voltages, mesh analysis applies Kirchhoff's voltage law (KVL) to find unknown currents within a circuit. This method is particularly convenient in reducing the number of simultaneous equations that need to be solved.
A fundamental concept in mesh analysis is the definition of meshes and mesh currents. A mesh is a closed...
1.4K
Cartesian Form for Vector Formulation01:26

Cartesian Form for Vector Formulation

1.1K
The Cartesian form for vector formulation is a process to calculate  the moment of force using the position and force vectors. The moment of force is defined as the cross-product of these vectors, making it a vector quantity. The Cartesian form of the position and force vectors involves unit vectors, which can be used to express the cross-product in determinant form.
1.1K
Vector Transformation in Rotating Coordinate Systems01:16

Vector Transformation in Rotating Coordinate Systems

2.6K
Consider a vector rotating about an axis with an angular velocity, such that its tip sweeps a circular path.
2.6K
Three-Dimensional Force System:Problem Solving01:30

Three-Dimensional Force System:Problem Solving

1.3K
A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
1.3K

You might also read

Related Articles

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

Sort by
Same author

A Topology Standardized 3D Facial Dataset with Emotion and Action Unit Diversity for East Asians.

Scientific data·2026
Same author

Association between red cell distribution width-albumin ratio and all-cause mortality in intensive care unit patients with heart failure.

Frontiers in cardiovascular medicine·2025
Same author

Efficacy of brain stimulation therapies across psychiatric, movement, and cognitive disorders: an umbrella review synthesizing meta-analyses of randomized controlled trials.

EClinicalMedicine·2025
Same author

Dynamic changes and prognostic value of glutathione S-transferase alpha in mild cognitive impairment and Alzheimer's disease.

Frontiers in aging neuroscience·2025
Same author

Independent prognostic importance of the albumin-corrected anion gap in critically ill patients with congestive heart failure: a retrospective study from MIMIC-IV database.

BMC cardiovascular disorders·2024
Same author

Colorectal Cancer Screening Based on Fecal Immunochemical Test and Risk Assessment: A Population-based Study Including Two Million Participants in China.

Journal of epidemiology·2024
Same journal

Therapeutic potential of crude protein extracts from two Egyptian freshwater snails Lanistes carinatus and Bellamya unicolor.

Scientific reports·2026
Same journal

Microbial contamination of donor corneas and post-keratoplasty endophthalmitis: a comparison between Japanese and U.S. eye banks using cold storage.

Scientific reports·2026
Same journal

Prevalence and contributing factors of virological non-suppression among adult patients on first-line antiretroviral therapy in tertiary hospitals in Ethiopia.

Scientific reports·2026
Same journal

An in vitro comparison of color stability between alkasite and different restorative materials in various staining solutions.

Scientific reports·2026
Same journal

Toward accessible mRNA LNP formulation: systematic evaluation of mixing strategies and key parameters.

Scientific reports·2026
Same journal

A network analysis of personality traits, mentalizing, and psychological health in Chinese college students.

Scientific reports·2026
See all related articles

Related Experiment Video

Updated: Jan 16, 2026

High-speed Particle Image Velocimetry Near Surfaces
11:59

High-speed Particle Image Velocimetry Near Surfaces

Published on: June 24, 2013

33.8K

A neural poly-vector based non-orthogonal frame field generation method for quad meshing.

Yanchao Yu1, Ni Li1,2,3, Guanghong Gong4

  • 1School of Automation Science and Electrical Engineering, Beihang University, Beijing, 100191, China.

Scientific Reports
|September 29, 2025
PubMed
Summary
This summary is machine-generated.

NeuralPoly introduces non-orthogonal frame fields for superior quad mesh generation. This AI method enhances geometric fidelity and mesh quality, especially around sharp features in computer-aided engineering.

Keywords:
Neural implicit surface representationNon-orthogonal frame fieldQuad mesh generationcomputer-aided engineering

More Related Videos

Author Spotlight: Development of an Automated Camera-Based System for Real-Time Blast Overpressure Monitoring and TBI Risk Assessment in Military Training
06:20

Author Spotlight: Development of an Automated Camera-Based System for Real-Time Blast Overpressure Monitoring and TBI Risk Assessment in Military Training

Published on: December 6, 2024

3.2K
A Method to Estimate Cadaveric Femur Cortical Strains During Fracture Testing Using Digital Image Correlation
09:34

A Method to Estimate Cadaveric Femur Cortical Strains During Fracture Testing Using Digital Image Correlation

Published on: September 14, 2017

7.8K

Related Experiment Videos

Last Updated: Jan 16, 2026

High-speed Particle Image Velocimetry Near Surfaces
11:59

High-speed Particle Image Velocimetry Near Surfaces

Published on: June 24, 2013

33.8K
Author Spotlight: Development of an Automated Camera-Based System for Real-Time Blast Overpressure Monitoring and TBI Risk Assessment in Military Training
06:20

Author Spotlight: Development of an Automated Camera-Based System for Real-Time Blast Overpressure Monitoring and TBI Risk Assessment in Military Training

Published on: December 6, 2024

3.2K
A Method to Estimate Cadaveric Femur Cortical Strains During Fracture Testing Using Digital Image Correlation
09:34

A Method to Estimate Cadaveric Femur Cortical Strains During Fracture Testing Using Digital Image Correlation

Published on: September 14, 2017

7.8K

Area of Science:

  • Computer Graphics
  • Artificial Intelligence
  • Computational Geometry

Background:

  • Automated quad mesh generation is crucial for computer-aided engineering.
  • Current neural methods struggle with geometric fidelity and quad quality near sharp features due to orthogonality constraints.

Purpose of the Study:

  • To develop an intelligent non-orthogonal frame-field generation method named NeuralPoly.
  • To improve geometric fidelity and quad mesh quality in frame-field-driven mesh generation.

Main Methods:

  • Proposed a poly-vector encoding for non-orthogonal fields to capture geometric features.
  • Introduced a Hessian-based neural weighting scheme to resolve alignment ambiguities.
  • Integrated these into a unified neural network with SIREN and ResUNet modules.

Main Results:

  • NeuralPoly demonstrated superior performance compared to state-of-the-art methods.
  • Achieved enhanced geometric fidelity and improved quad mesh quality.
  • Effectively handled sharp features and complex regions.

Conclusions:

  • NeuralPoly offers a robust solution for non-orthogonal frame-field generation.
  • The method advances automated quad mesh generation in computer-aided engineering.
  • Paves the way for more accurate and high-quality surface representations.