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Related Concept Videos

Triple Integrals over General Regions01:28

Triple Integrals over General Regions

Triple integrals over general bounded regions extend the concept of double integrals from planar domains to three-dimensional solids. A solid region E in space is commonly enclosed within a rectangular box B, and a continuous function f(x, y, z) is integrated over the region by defining F such that it coincides with f on E and is zero outside the solid. The triple integral is therefore expressed as\begin{equation*}\iiint_E f(x,y,z) dV \end{equation*}The existence of the integral requires that f...
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Consider two continuous functions defined on a closed interval from a to b. The region between these curves is bounded vertically by their graphs and horizontally by the endpoints of the interval. The objective is to measure the area of this region.An initial estimate of the area can be obtained by dividing the interval into a large number of narrow vertical strips of equal width. Each strip is approximated by a rectangle whose height is given by the vertical difference between the two...
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Double integrals are often used to measure quantities distributed across two-dimensional regions, such as rainfall over a lake, heat across a metal plate, or population density over land. In many practical situations, the region of interest does not have straight boundaries and cannot be described conveniently as a rectangle. Instead, the region may have curved or irregular edges. To evaluate integrals over such domains, the region is embedded inside a larger rectangular region where...
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Quantification of Visual Feature Selectivity of the Optokinetic Reflex in Mice
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Quantification of Visual Feature Selectivity of the Optokinetic Reflex in Mice

Published on: June 23, 2023

Contour integration across spatial frequency.

Malte Persike1, Lynn A Olzak, Günter Meinhardt

  • 1Department of Psychology, Methods Section, Johannes Gutenberg Universität Mainz, Staudinger Weg 9, 55099 Mainz, Germany. persike@uni-mainz.de

Journal of Experimental Psychology. Human Perception and Performance
|December 9, 2009
PubMed
Summary
This summary is machine-generated.

Contour integration, the grouping of visual elements into shapes, occurs robustly across different spatial frequencies (SF). This suggests that the brain

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Area of Science:

  • Visual perception
  • Computational neuroscience
  • Psychophysics

Background:

  • Association field (AF) models propose contour integration relies on grouping local elements within limited spatial frequency (SF) bands.
  • While AF models are supported by orientation and spacing variations, the role of SF in contour integration remains under-explored.

Purpose of the Study:

  • To investigate whether contour integration can occur across different spatial frequencies.
  • To test the limits of SF variation in human contour detection.

Main Methods:

  • Human participants detected contours in Gabor random fields with varying SF jitter along the contour and in the background.
  • Measured contour detection performance with SF separations of 1.25 and 2.25 octaves.

Main Results:

  • Contour detection showed no impairment with a 1.25 octave SF separation.
  • A moderate impairment in contour detection was observed with a 2.25 octave SF separation.
  • These findings contrast with narrower SF tuning functions for local interactions, suggesting contour integration is not solely based on local mechanisms.

Conclusions:

  • Contour integration is robust across significant spatial frequency variations.
  • The findings challenge models relying exclusively on local feature locking.
  • The integration across SF, color, and depth suggests a basis in less specialized brain regions.