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

Composing morphological filters.

H M Heijmans1

  • 1CWI, Amsterdam.

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|January 1, 1997
PubMed
Summary
This summary is machine-generated.

This study introduces novel methods for constructing morphological filters, including overfilters and underfilters, by composing basic operations like dilations and erosions. These techniques extend alternating sequential filters and guarantee filter properties for specific compositions.

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

Annular filters for binary images.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2008
Same author

Nonlinear multiresolution signal decomposition schemes--part I: morphological pyramids.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2008
Same author

Nonlinear multiresolution signal decomposition schemes--part II: morphological wavelets.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2008
Same journal

Hyperbolic Cycle Alignment for Infrared-Visible Image Fusion.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

Learning Gaze Synthesizer via 3D-eye Controlled Diffusion and Cross-domain Feature Alignment.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

Underlying Semantic Diffusion for Effective and Efficient In-Context Learning.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

DiffRES: Unleashing Text-to-Image Diffusion Models for Generative Referring Expression Segmentation without Information Leakage.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

Location Matters: Frequency-Spatial Dual Space Adaptation for Cross-Domain Few-Shot Segmentation.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

BayeTopo: Bayesian-based Topology-guided Learning for Vascular Imaging Segmentation.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
See all related articles

Area of Science:

  • Image processing
  • Mathematical morphology

Background:

  • Morphological filters are operators on complete lattices, known for properties like being increasing and idempotent.
  • Openings and closings are fundamental classes of morphological filters.
  • Alternating sequential filters are formed by composing openings and closings.

Purpose of the Study:

  • To explain the construction of morphological filters and derived notions (overfilters, underfilters, inf-overfilters, sup-underfilters).
  • To extend the class of alternating sequential filters using overfilters and underfilters.
  • To demonstrate that specific compositions of dilations and erosions yield filters.

Main Methods:

  • Composition of basic morphological operations: dilations and erosions.
  • Construction of openings, closings, overfilters, and underfilters.

Related Experiment Videos

  • Theoretical analysis of filter properties derived from adjunctions.

    • Main Results:

    • A systematic method for constructing various morphological filters and their extensions.
    • Demonstration that compositions of overfilters and underfilters extend alternating sequential filters.
    • Proof that any composition with an equal number of dilations and erosions from an adjunction results in a filter.

    Conclusions:

    • The study provides a comprehensive framework for constructing and understanding morphological filters.
    • The proposed methods offer new ways to generate complex filters from basic building blocks.
    • Experimental results validate the theoretical findings on morphological filter construction.