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Related Concept Videos

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...
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Curvilinear Motion: Normal and Tangential Components01:27

Curvilinear Motion: Normal and Tangential Components

832
When a car traverses a curved road, its motion can be elucidated by breaking it down into tangential and normal components. The car-centric coordinates attached to the vehicle move with it.
The positive direction of the t-axis aligns with the increasing position of the car along the curved path, denoted by the unit vector ut. Simultaneously, the n-axis, perpendicular to the t-axis, dissects the curved path into differential arc segments, each forming the arc of a circle with a radius of...
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Mesh Analysis with Current Sources01:10

Mesh Analysis with Current Sources

2.0K
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...
2.0K
Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

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Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
425
Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

443
To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
443
Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

9.3K
A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
9.3K

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Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
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Graph-Based Feature-Preserving Mesh Normal Filtering.

Wenbo Zhao, Xianming Liu, Shiqi Wang

    IEEE Transactions on Visualization and Computer Graphics
    |October 1, 2019
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    Summary
    This summary is machine-generated.

    This study introduces a novel graph-based method for mesh denoising that effectively preserves geometric features. The approach distinguishes features from noise, outperforming existing techniques in evaluations.

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    Area of Science:

    • Computer Graphics
    • Computational Geometry
    • Image Processing

    Background:

    • Accurate mesh denoising is crucial for preserving geometric details.
    • Distinguishing features from noise remains a significant challenge in mesh processing.

    Purpose of the Study:

    • To propose a graph-based feature-preserving mesh normal filtering scheme.
    • To enhance mesh denoising by robustly identifying and preserving geometric features.

    Main Methods:

    • Representing mesh faces as patches and modeling them as weighted graphs for feature detection.
    • Employing a graph-cut and iterative normalized cut algorithm for feature-aware region segmentation.
    • Utilizing feature-aware guided normal filtering for robust denoising.

    Main Results:

    • The proposed scheme successfully distinguishes geometric features from noise in noisy meshes.
    • Experimental results demonstrate superior performance compared to state-of-the-art methods.
    • Both objective and subjective evaluations confirm the effectiveness of the feature-preserving approach.

    Conclusions:

    • The developed graph-based filtering scheme offers robust and feature-preserving mesh denoising.
    • This method significantly advances the state-of-the-art in mesh normal filtering.
    • The approach is effective for both synthetic and real-world scanned models.