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Anti-Impulse-Noise Edge Detection via Anisotropic Morphological Directional Derivatives.
Summary
This study introduces anisotropic morphological directional derivatives (AMDDs) to improve edge detection in noisy images. The novel AMDD-based edge detector excels in impulse noise environments, outperforming existing methods.
Area of Science:
- Computer Vision
- Image Processing
- Signal Processing
Background:
- Traditional edge detection methods degrade significantly with impulse noise.
- Morphological operators like median filters are effective against impulse noise.
Purpose of the Study:
- To develop an impulse noise-robust edge detection method using anisotropic morphological directional derivatives (AMDDs).
- To enhance edge detection performance in noisy image conditions.
Main Methods:
- Proposed anisotropic morphological directional derivatives (AMDDs) by combining biwindow configuration with weighted median filters.
- Derived AMDD spatial response and directional representation for ideal step edges.
- Utilized spatial and directional matched filters to extract edge strength maps (ESM) and edge direction maps (EDM).
- Integrated ESM and EDM into differential-based edge detection for an anti-impulse-noise detector.
Main Results:
- The proposed AMDD-based edge detector demonstrates competitive performance in noise-free and Gaussian noise scenarios.
- Achieved superior performance compared to state-of-the-art detectors specifically in impulse noise conditions.
- Analysis of biwindow characteristics and edge resolution provided insights into detector behavior.
Conclusions:
- The AMDD-based edge detector offers a robust solution for edge detection in the presence of impulse noise.
- The method effectively preserves edge information while mitigating noise interference.
- This approach advances the field of noise-resilient image processing.

