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Placido Sub-Pixel Edge Detection Algorithm Based on Enhanced Mexican Hat Wavelet Transform and Improved Zernike
Yujie Wang1, Jinyu Liang1, Yating Xiao1
1School of Information and Communication Engineering, North University of China, Taiyuan 030051, China.
Journal of Imaging
|August 27, 2025
Summary
This study introduces a new sub-pixel edge detection algorithm for corneal topography. The enhanced algorithm significantly improves the accuracy of detecting the corneal Placido ring edge, reducing errors by over 67%.
Area of Science:
- Ophthalmology
- Medical Imaging
- Computer Vision
Background:
- Accurate corneal topographic reconstruction requires high-precision localization of the corneal Placido ring edge.
- Existing edge detection algorithms often lack the necessary precision for detailed corneal analysis.
Purpose of the Study:
- To develop a sub-pixel edge detection algorithm for precise corneal Placido ring edge identification.
- To enhance the accuracy and robustness of edge detection in corneal topographic imaging.
Main Methods:
- Employed a multi-scale and multi-position enhanced Mexican Hat Wavelet Transform for initial edge processing.
- Utilized improved Zernike moments for precise edge point relocation using a 9x9 template.
- Implemented two adaptive edge threshold algorithms for final sub-pixel edge point determination.
Main Results:
- The proposed algorithm achieved an average sub-pixel edge error of 0.094 pixels.
- This represents a significant reduction compared to existing algorithms, which had an average error of 0.286 pixels.
- Demonstrated strong robustness against image noise.
Conclusions:
- The novel algorithm effectively meets high-precision location requirements for corneal Placido ring edge detection.
- Offers superior accuracy and noise resilience for corneal topographic reconstruction.
- Provides a valuable tool for advanced ophthalmic imaging analysis.

