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Related Concept Videos

Transformation of Plane Strain01:12

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When analyzing elongated structures like bars subjected to uniformly distributed loads, it is essential to understand the transformation of plane strain when coordinate axes are rotated. This transformation helps to assess how material deformation characteristics vary with orientation, which is crucial in materials science and structural engineering.
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Transformations of Functions I01:29

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A function's graph can be modified by changing its position or size without altering its overall shape. These transformations allow the graph to be moved across the coordinate plane while preserving its pattern and structure. One of the most common transformations is shifting, which repositions the graph without distorting it.When the output of a function is adjusted by adding or subtracting a constant, the graph shifts vertically. A positive value moves the graph upward, while a negative value...
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Studying stress transformation is essential in understanding how stress components within a material, like a cube under plane stress, change with rotation. This change is analyzed by considering a prismatic element within the cube. As the element rotates, the stress components acting on it—both normal and shearing stresses—change in magnitude and orientation. This change is quantified using trigonometric functions of the rotation angle, relating the forces acting on the rotated element's...
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Transformations of Functions III01:20

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Transformations modify the graphical representation of a function without changing its fundamental form. One common transformation is reflection, which flips the graph across a designated axis. When the vertical coordinates of all points are multiplied by the negative one, the entire graph is mirrored over the horizontal axis. This transformation reverses the vertical orientation of peaks and troughs, akin to signal inversion in electrical systems, where a waveform is flipped, but the timing of...
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Deformations in a Symmetric Member in Bending01:18

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When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
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When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
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Measuring Sensitivity to Viewpoint Change with and without Stereoscopic Cues
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Investigating shape representation using sensitivity to part- and axis-based transformations.

Kristina Denisova1, Jacob Feldman1, Xiaotao Su1

  • 1Department of Psychology and Rutgers Center for Cognitive Science, Rutgers University, New Brunswick, NJ, United States.

Vision Research
|September 2, 2015
PubMed
Summary
This summary is machine-generated.

Humans are better at detecting changes in individual shape parts than their spatial relationships. Biomechanically implausible location changes are the hardest to detect, impacting shape perception research.

Keywords:
AxesNon-rigid transformationsPartsShapeShape discriminationShape skeleton

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Area of Science:

  • Cognitive Psychology
  • Computational Vision
  • Human Perception

Background:

  • Shape representations are organized by parts and their spatial relationships.
  • Transformations altering qualitative part structure are more detectable than those preserving it.

Purpose of the Study:

  • Compare sensitivity to quantitative shape transformations that preserve qualitative part structure.
  • Investigate the influence of region-based geometry on shape perception.

Main Methods:

  • Applied transformations (length, width, curvature, orientation, location) to a two-part shape.
  • Estimated increment thresholds using a two-alternative forced-choice (2IFC) procedure.
  • Manipulated figure-ground perception via stereoscopy.

Main Results:

  • Higher sensitivity to single-part quantitative changes (length, width, curvature) than to relational changes (orientation, location) – a single-part superiority effect.
  • Lowest sensitivity to biomechanically implausible shifts in part location.
  • Better sensitivity to orientation changes in positive (protrusions) vs. negative (indentations) parts.

Conclusions:

  • Human shape perception prioritizes changes within individual parts over changes in spatial relationships.
  • Biomechanical plausibility influences the detectability of shape transformations.
  • Part geometry (positive vs. negative) affects sensitivity to orientation changes.