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Tension01:10

Tension

11.2K
Tension is a force along the length of a medium, in particular, a force carried by a flexible medium, such as a rope or cable. The word "tension" comes from Latin, meaning "to stretch". Not coincidentally, the flexible cords that carry muscle forces to other parts of the body are called tendons. Any flexible connector, such as a string, rope, chain, wire, or cable, can exert pull only parallel to its length; so, a force carried by a flexible connector is a tension with a...
11.2K
Tension01:10

Tension

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Torsion of Noncircular Members01:16

Torsion of Noncircular Members

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Circular shafts undergoing torsional stress maintain their cross-sectional integrity due to their axisymmetric nature. This symmetry ensures an even distribution of stress, allowing the shaft to withstand torsion without distorting. In contrast, square bars, lacking this axial symmetry, experience significant distortion across their cross-sections when subjected to torsion, with the exception of along their diagonals and at lines connecting midpoints. A detailed examination of a cubic element...
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Bending and Torsional Moments01:20

Bending and Torsional Moments

6.7K
Bending and torsional moments are two fundamental concepts in structural engineering. They play an important role in understanding the behavior of materials and structures under different loading conditions.
The reaction developed in a structural element when subjected to an external force causes the element to bend. When a structural element bends upwards, it creates compressive normal forces on the top and tensile normal forces on the bottom, resulting in a couple that determines the bending...
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Stress on an Oblique Plane01:16

Stress on an Oblique Plane

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Understanding stress on an oblique plane under axial loading is pivotal in material mechanics. This analysis offers insight into a material's durability and strength, which is crucial for civil engineering and structural design. Axial loading refers to force application along the material's central axis, causing compression or elongation and leading to normal stress. Normal stress occurs when a force acts perpendicularly to the material's area, resulting in compressive or tensile...
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Tangent Line01:26

Tangent Line

1.1K
In differential calculus, understanding how a quantity changes at an exact point is central to interpreting dynamic systems. This can be illustrated by analyzing a car traveling along a winding road. The car’s trajectory is represented as a continuous curve, and the direction in which it moves at any instant is given by the tangent to that curve. In contrast, the secant line, intersecting the curve at two points, captures how the car’s position changes over an interval — an...
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Related Experiment Video

Updated: May 5, 2026

Proprioception and Tension Receptors in Crab Limbs: Student Laboratory Exercises
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Proprioception and Tension Receptors in Crab Limbs: Student Laboratory Exercises

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Tension in active shapes.

Giuseppe Papari

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
    |November 16, 2013
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces tension in active contours for improved image segmentation. The novel method efficiently finds the global optimum by exploring a binary tree, outperforming existing algorithms in segmenting fish from low-quality underwater images.

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    Area of Science:

    • Computer Vision
    • Image Processing
    • Computational Geometry

    Background:

    • Active contours are widely used for image segmentation but can get trapped in local minima.
    • Prior shape information can guide active contours, but effectively utilizing it remains a challenge.
    • Existing methods, such as those based on Euler-Lagrange diffusion equations, struggle with complex image features and noise.

    Purpose of the Study:

    • To introduce a novel concept of tension within active contours to enhance image segmentation.
    • To develop a method that leverages tension properties to avoid undesired local minima and find the global optimum.
    • To demonstrate the effectiveness of the proposed approach for segmenting challenging subjects like fish in low-quality underwater images.

    Main Methods:

    • Introducing a new 'tension' property into active contours with prior shape information.
    • Analyzing tension's relationship with cost function minima and curve splitting.
    • Generating a binary tree where nodes represent local minima, guiding the search for the global optimum.
    • Applying the method to fish segmentation in low-quality underwater imagery.

    Main Results:

    • High tension values indicate undesired equilibrium points in cost function minimization.
    • Tension decreases when a curve splits, providing a mechanism for exploring different segmentation possibilities.
    • The tree-based search effectively prunes local minima, focusing on promising regions.
    • The proposed method significantly outperforms existing algorithms in qualitative and quantitative evaluations for fish segmentation.

    Conclusions:

    • The novel tension concept effectively improves active contour-based image segmentation.
    • The tree-based optimization strategy successfully navigates the solution space to avoid local minima.
    • This approach offers a superior solution for segmenting objects in challenging, low-quality image datasets, particularly underwater imagery.