Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Area Between Curves: Integrating With Respect to x01:25

Area Between Curves: Integrating With Respect to x

164
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...
164
Area Between Curves: Integrating With Respect to y01:29

Area Between Curves: Integrating With Respect to y

93
Consider a planar region bounded by two curves that are both written as functions of the vertical variable, y. The left and right boundary curves are continuous between y = c and y = d, and these two horizontal lines define the vertical limits of the region. Because the boundaries depend on y rather than x, the area is most appropriately evaluated using horizontal slices.The area is obtained using the Riemann sum method. The region is divided into many thin horizontal strips, each having an...
93
Approximate Integration01:24

Approximate Integration

92
In many practical and theoretical contexts, the exact value of a definite integral may be inaccessible. This limitation typically arises when the antiderivative of a function is either unknown or cannot be expressed in a closed mathematical form. Alternatively, it can occur when a function is defined not by a formula but by a finite set of empirical data points, such as those collected during experiments. In these cases, approximate integration techniques provide a valuable solution.One of the...
92
Integration by Parts: Definite Integrals01:23

Integration by Parts: Definite Integrals

145
Definite integrals involving the product of two functions over a fixed interval can be evaluated using integration by parts. This method rewrites the integral as the difference of a product evaluated at the endpoints and a remaining definite integral that is often simpler to compute.A representative example is the definite integral of the inverse tangent function. Since there is no direct integration formula for arctan ⁡x, the integrand is rewritten as a product of arctan⁡ x and the...
145
Line, Surface, and Volume Integrals01:15

Line, Surface, and Volume Integrals

4.6K
A line integral for a vector field is defined as the integral of the dot product of a vector function with an infinitesimal displacement vector along a prescribed path. If the prescribed path is closed, the integrals reduce to a closed-line integral. The closed-contour integral of the vector field is referred to in terms of the circulation of the vector field around the closed path. A vector with zero circulation around every closed path is called a conservative field, while one with non-zero...
4.6K
Integration by Parts: Indefinite Integrals01:26

Integration by Parts: Indefinite Integrals

374
Integration by parts is a fundamental technique in calculus for evaluating integrals involving the product of two functions. It is particularly useful when direct integration is not feasible. The method is based on the product rule for differentiation, which states that the derivative of a product equals the derivative of the first function times the second, plus the first function times the derivative of the second. By integrating this identity and rearranging terms, the integration by parts...
374

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Electrophysiological correlates of feature synergy.

Vision research·2026
Same author

Sensitivity to horizontal and vertical spatial relations in younger and older adults' face perception.

Vision research·2026
Same author

Feature synergy enhances detection but not recognition of shape from texture cues.

Vision research·2025
Same author

The composite face effect is robust against perceptual misfit.

Attention, perception & psychophysics·2021
Same author

Synergy of spatial frequency and orientation bandwidth in texture segregation.

Journal of vision·2021
Same author

Theory of mind development from adolescence to adulthood: Testing the two-component model.

The British journal of developmental psychology·2020
Same journal

Computational and mathematical models in vision: Quantitative approaches to understanding visual perception.

Vision research·2026
Same journal

Complex interactions between lightness, chroma, and hue in color ensemble perception.

Vision research·2026
Same journal

Driving with autism spectrum disorder: Exploring the impact of tactile hazard warnings on gaze behavior and hazard responses.

Vision research·2026
Same journal

Early visual processing in adults with ADHD: evidence from contrast sensitivity, spatial integration, and external noise.

Vision research·2026
Same journal

Pupil reflexes generate the peripheral drift illusion due to ON/OFF motion responses.

Vision research·2026
Same journal

Perceived direction of glass patterns can flip by 90°: A neural model.

Vision research·2026
See all related articles

Related Experiment Video

Updated: Mar 16, 2026

Outer-Boundary Assisted Segmentation and Quantification of Trabecular Bones by an Imagej Plugin
09:36

Outer-Boundary Assisted Segmentation and Quantification of Trabecular Bones by an Imagej Plugin

Published on: March 14, 2018

9.8K

Contour integration with corners.

Malte Persike1, Günter Meinhardt1

  • 1Psychological Institute, Department of Statistical Methods, Johannes Gutenberg University Mainz, Wallstr. 3, D-55122 Mainz, Germany.

Vision Research
|August 21, 2016
PubMed
Summary
This summary is machine-generated.

Adding corner elements to jagged contours makes them as easy to see as straight ones. This finding challenges current models of visual contour integration and shape perception.

Keywords:
Contour integrationCornersHumansPsychophysicsSpatial vision

More Related Videos

Quantifying Intermembrane Distances with Serial Image Dilations
07:45

Quantifying Intermembrane Distances with Serial Image Dilations

Published on: September 28, 2018

6.8K
Extracting Metrics for Three-dimensional Root Systems: Volume and Surface Analysis from In-soil X-ray Computed Tomography Data
09:37

Extracting Metrics for Three-dimensional Root Systems: Volume and Surface Analysis from In-soil X-ray Computed Tomography Data

Published on: April 26, 2016

9.0K

Related Experiment Videos

Last Updated: Mar 16, 2026

Outer-Boundary Assisted Segmentation and Quantification of Trabecular Bones by an Imagej Plugin
09:36

Outer-Boundary Assisted Segmentation and Quantification of Trabecular Bones by an Imagej Plugin

Published on: March 14, 2018

9.8K
Quantifying Intermembrane Distances with Serial Image Dilations
07:45

Quantifying Intermembrane Distances with Serial Image Dilations

Published on: September 28, 2018

6.8K
Extracting Metrics for Three-dimensional Root Systems: Volume and Surface Analysis from In-soil X-ray Computed Tomography Data
09:37

Extracting Metrics for Three-dimensional Root Systems: Volume and Surface Analysis from In-soil X-ray Computed Tomography Data

Published on: April 26, 2016

9.0K

Area of Science:

  • Visual Perception
  • Computational Neuroscience
  • Psychophysics

Background:

  • Contour integration binds local elements into global shapes.
  • Smooth contours are salient; abrupt changes reduce salience.
  • Current models emphasize local orientation interactions.

Purpose of the Study:

  • Investigate how local corner elements affect contour salience.
  • Challenge existing models of contour integration.
  • Explore early stages of shape processing.

Main Methods:

  • Psychophysical detection experiments.
  • Comparing salience of jagged vs. straight contours.
  • Introducing local corner elements at discontinuities.

Main Results:

  • Jagged contours with corner elements match salience of straight contours.
  • Psychophysical equivalence demonstrated.
  • Local corner elements significantly enhance contour salience.

Conclusions:

  • Contour integration is not solely based on local orientation.
  • Early visual processing combines orientation and complex local features.
  • This suggests a more sophisticated basis for early shape processing.