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Related Concept Videos

Mesh Analysis01:20

Mesh Analysis

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...
Mesh Analysis with Current Sources01:10

Mesh Analysis with Current Sources

Mesh analysis becomes simpler when analyzing circuits with current sources, whether independent or dependent. The presence of current sources reduces the number of equations required for analysis. Two cases illustrate this:
Current Source in One Mesh: The analysis process is straightforward when a current source is found in only one mesh within the circuit. Mesh currents are assigned as usual, with the mesh containing the current source excluded from the analysis. Kirchhoff's voltage law (KVL)...
Sequence Networks of Rotating Machines01:24

Sequence Networks of Rotating Machines

A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
Virtual Work for a System of Connected Rigid Bodies01:06

Virtual Work for a System of Connected Rigid Bodies

Virtual work is a powerful method used to solve problems involving several connected rigid bodies. When the system is in equilibrium, virtual work is zero. This allows the calculation of the resulting forces when a system undergoes a virtual displacement. When attempting to analyze such a system, first, use a free-body diagram, where an independent coordinate represents the configuration of the links, and mark its deflected position resulting from the positive virtual displacement.
Next,...
Mesh Analysis for AC Circuits01:12

Mesh Analysis for AC Circuits

In the domain of radio communication, the significance of impedance matching must be considered. It is crucial to ensure the efficient transmission of signals between radio transmitters and receivers. Achieving this balance involves using impedance-matching circuits, with one fundamental configuration comprising a resistor, capacitor, and inductor.
The process of harmonizing these impedances begins with a clear understanding of the input and output signals. Once these signals are known, the...
Vector Functions and Motion: Problem Solving01:30

Vector Functions and Motion: Problem Solving

Accurate position tracking is fundamental to the safe and effective operation of unmanned aerial vehicles (UAVs), particularly during precision maneuvers near complex structures. In this scenario, a drone is programmed to perform a high-precision inspection of a vertical structure, starting at position ((x, y, z) = (3, 0, 0)), with an initial velocity oriented in the positive z-direction. The trajectory of the drone is governed by a time-dependent acceleration function a(t), which is predefined...

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Related Experiment Video

Updated: Jun 13, 2026

Operation of the Collaborative Composite Manufacturing (CCM) System
10:09

Operation of the Collaborative Composite Manufacturing (CCM) System

Published on: October 1, 2019

Interactive mesh cutting using constrained random walks.

Juyong Zhang1, Jianmin Zheng, Jianfei Cai

  • 1School of Computer Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798. juyong@pmail.ntu.edu.sg

IEEE Transactions on Visualization and Computer Graphics
|April 28, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces a new mesh cutting algorithm using constrained random walks and graph path optimization for intuitive component extraction. The method offers flexibility and effectiveness for users interacting with 3D mesh data.

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Area of Science:

  • Computer Graphics
  • Computational Geometry
  • Human-Computer Interaction

Background:

  • Mesh processing is crucial for 3D data manipulation.
  • Interactive component extraction requires intuitive user control.
  • Existing methods may lack flexibility or precision in defining cutting contours.

Purpose of the Study:

  • To develop an interactive mesh cutting algorithm for precise component extraction.
  • To enhance user control through diverse input methods.
  • To create an intuitive and effective tool for 3D mesh manipulation.

Main Methods:

  • A constrained random walks algorithm incorporating user-defined constraints.
  • An optimization process utilizing shortest graph paths for contour generation.
  • Integration of feature-sensitive metrics based on geometric and cognitive properties.

Main Results:

  • A novel algorithm for interactive mesh cutting.
  • Support for multiple user input types: foreground/background seeds, soft, and hard constraints.
  • Demonstrated speed, reliability, and accuracy in experimental examples.

Conclusions:

  • The proposed method provides an intuitive, flexible, and effective approach to interactive mesh cutting.
  • The algorithm successfully extracts components reflecting user intent and geometric attributes.
  • This technique advances 3D model editing and component extraction capabilities.