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

Symmetry01:26

Symmetry

The equation of an ellipse centered at the origin defines all points whose distances from the center maintain a constant ratio between the horizontal and vertical axes. This equation results in a smooth, closed curve that extends further along the x-axis than the y-axis, giving it a horizontal orientation. Such an ellipse demonstrates three kinds of symmetry: across the x-axis, across the y-axis, and about the origin. These symmetries are essential in understanding the graph's structure and...
Symmetry Elements in a Crystal01:27

Symmetry Elements in a Crystal

Crystal symmetry operations are isometric transformations that map objects onto indistinguishable copies while preserving distances, angles, and volumes. The simplest symmetry operation is translation, which shifts the entire infinite crystal lattice parallelly by a translation vector.Crystallographic rotations involve rotations by an angle of 2π/n around an axis without changing the positions of points on the axis. It is called the rotational axis of the symmetry, denoted by n. The combination...
Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

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...
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

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...

You might also read

Related Articles

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

Sort by
Same author

Youth Soccer Participation and Brain Health Outcomes in Adolescent Athletes.

JAMA network open·2026
Same author

Estimating temperatures with low-cost infrared cameras using physically-constrained deep neural networks.

Optics express·2024
Same author

Simultaneous Temperature Estimation and Nonuniformity Correction From Multiple Frames.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2024
Same author

Implications of fitting a two-compartment model in single-shell diffusion MRI.

Physics in medicine and biology·2023
Same author

Deep Learning Solution of the Eigenvalue Problem for Differential Operators.

Neural computation·2023
Same author

Detecting Cocircular Subsets of a Spherical Set of Points.

Journal of imaging·2022
Same journal

Benchmarking the Robustness of Autonomous Driving to Environmental Illusions: A Lane Perception Perspective.

IEEE transactions on pattern analysis and machine intelligence·2026
Same journal

Learning Topology-Aware Representations via Test-Time Adaptation for Anomaly Segmentation.

IEEE transactions on pattern analysis and machine intelligence·2026
Same journal

TraGraph-GS: Trajectory Graph-based Gaussian Splatting for Arbitrary Large-Scale Scene Rendering.

IEEE transactions on pattern analysis and machine intelligence·2026
Same journal

SWIFT: A Small-World Interaction Framework for Flow-Aware Trajectory Prediction in Autonomous Driving.

IEEE transactions on pattern analysis and machine intelligence·2026
Same journal

HardFlow: Hard-Constrained Sampling for Flow-Matching Models Via Trajectory Optimization.

IEEE transactions on pattern analysis and machine intelligence·2026
Same journal

Industrial Brain: Self-Evolving Neuro-Symbolic Autonomy with Causal Resilience for Cyber-Physical Systems.

IEEE transactions on pattern analysis and machine intelligence·2026
See all related articles

Related Experiment Video

Updated: Jun 22, 2026

Swin-PSAxialNet: An Efficient Multi-Organ Segmentation Technique
04:48

Swin-PSAxialNet: An Efficient Multi-Organ Segmentation Technique

Published on: July 5, 2024

On symmetry, perspectivity, and level-set-based segmentation.

Tammy Riklin-Raviv1, Nir Sochen, Nahum Kiryati

  • 1Massachusetts Institute of Technology, Cambridge, MA 02139, USA. tammy@csail.mit.edu

IEEE Transactions on Pattern Analysis and Machine Intelligence
|June 23, 2009
PubMed
Summary
This summary is machine-generated.

This study presents a new variational method for segmenting symmetrical objects under perspective distortion. It uses a "symmetrical counterpart image" and level-set evolution to accurately extract object boundaries.

More Related Videos

Pioneering Patient-Specific Approaches for Precision Surgery Using Imaging and Virtual Reality
06:18

Pioneering Patient-Specific Approaches for Precision Surgery Using Imaging and Virtual Reality

Published on: April 5, 2024

From Voxels to Knowledge: A Practical Guide to the Segmentation of Complex Electron Microscopy 3D-Data
12:08

From Voxels to Knowledge: A Practical Guide to the Segmentation of Complex Electron Microscopy 3D-Data

Published on: August 13, 2014

Related Experiment Videos

Last Updated: Jun 22, 2026

Swin-PSAxialNet: An Efficient Multi-Organ Segmentation Technique
04:48

Swin-PSAxialNet: An Efficient Multi-Organ Segmentation Technique

Published on: July 5, 2024

Pioneering Patient-Specific Approaches for Precision Surgery Using Imaging and Virtual Reality
06:18

Pioneering Patient-Specific Approaches for Precision Surgery Using Imaging and Virtual Reality

Published on: April 5, 2024

From Voxels to Knowledge: A Practical Guide to the Segmentation of Complex Electron Microscopy 3D-Data
12:08

From Voxels to Knowledge: A Practical Guide to the Segmentation of Complex Electron Microscopy 3D-Data

Published on: August 13, 2014

Area of Science:

  • Computer Vision
  • Image Processing
  • Computational Geometry

Background:

  • Object segmentation is challenging with perspective distortion.
  • Symmetry is a powerful prior for object recognition and segmentation.
  • Existing methods struggle with combined symmetry and distortion.

Purpose of the Study:

  • To develop a novel variational method for object extraction with symmetry.
  • To handle both bilateral and rotational symmetry under perspective distortion.
  • To recover symmetry axis and distortion transformation information.

Main Methods:

  • Introduced a "symmetrical counterpart image" generated by flipping or rotating the source image.
  • Utilized level-set-based curve evolution for segmentation.
  • Integrated symmetry constraints with image data for boundary extraction.
  • Recovered planar projective homography relating the source and counterpart images concurrently with segmentation.

Main Results:

  • Demonstrated accurate segmentation of objects with bilateral and rotational symmetry.
  • Showcased robustness against noise, clutter, occlusions, and background assimilation.
  • Successfully recovered symmetry axis and distortion transformation as by-products.
  • Achieved promising results on various image datasets.

Conclusions:

  • The proposed method effectively segments symmetrical objects despite perspective distortion.
  • The integration of symmetry priors and level-set evolution offers a robust approach.
  • The method provides valuable information about object symmetry and transformations.