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 Experiment Videos

Custom-built moments for edge location.

Irina Popovici1, William Douglas Withers

  • 1Department of Mathematics, United States Naval Academy, Annapolis, MD 21402, USA. popovici@usna.edu

IEEE Transactions on Pattern Analysis and Machine Intelligence
|March 29, 2006
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

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

Sort by
Same author

Curve parametrization by moments.

IEEE transactions on pattern analysis and machine intelligence·2008
Same author

Locating edges and removing ringing artifacts in JPEG images by frequency-domain analysis.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2007
Same author

The eidochromatic transform for color-image coding.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2005
Same author

[Evaluation of oxidative stress and enzymatic antioxidants in medium physical training of moderate arterial hypertension].

Revista medico-chirurgicala a Societatii de Medici si Naturalisti din Iasi·2005
Same author

[Acute diarrhea associated with Cyclospora cayetanensis].

Revista medico-chirurgicala a Societatii de Medici si Naturalisti din Iasi·2004
Same author

[Effect of antilipemic therapy on patients with diabetes mellitus and obesity].

Revista medico-chirurgicala a Societatii de Medici si Naturalisti din Iasi·2004
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
Same journal

Adaptive Hardness-Driven Dictionary Distillation for Incomplete Streaming View Clustering.

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

Mixture of Global and Local Experts with Diffusion Transformer for Controllable Face Generation.

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

This study introduces a flexible method using image moments to precisely locate and describe step edges. The technique supports custom shapes, improving edge detection for applications like image coding.

Area of Science:

  • Computer Vision
  • Image Processing
  • Mathematical Imaging

Background:

  • Traditional moment-based edge detection is limited to circular regions.
  • Accurate edge localization is crucial for image analysis and compression.

Purpose of the Study:

  • To develop a general method for constructing functions to detect and parametrize image step edges.
  • To overcome limitations of previous moment-based edge detection techniques.

Main Methods:

  • General construction of functions utilizing image moments for edge localization.
  • Application of custom-designed functions on various shapes (circles, rectangles).
  • Analysis of sensitivity to pixelization and model discrepancies.

Main Results:

Related Experiment Videos

  • A flexible and generalizable approach to moment-based edge detection.
  • Parametric edge description enabling precise localization and characterization.
  • Demonstrated suitability for image coding applications.

Conclusions:

  • The proposed method offers enhanced flexibility and accuracy in edge detection.
  • The parametric edge representation is well-suited for advanced image coding techniques like wedgelet coding.