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Related Experiment Video

Updated: Jul 14, 2026

Motion-Acuity Test for Visual Field Acuity Measurement with Motion-Defined Shapes
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Published on: February 23, 2024

Mumford-Shah algorithm applied to videokeratography image processing and consequences to refractive power values.

João Batista Florindo1, Sérgio Henrique Monari Soares, Luis Alberto Vieira de Carvalho

  • 1Instituto de Ciências Matemáticas e de Computação USP, CP 668, CEP 13560-970, São Carlos, SP, Brazil. jbflorindo@gmail.com

Computer Methods and Programs in Biomedicine
|May 29, 2007
PubMed
Summary

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The Mumford-Shah method accurately detects corneal anomalies using videokeratography by precisely identifying inflection points in Placido disc reflections. This advanced image processing improves diagnostic accuracy and noise reduction for eye-care devices.

Area of Science:

  • Ophthalmology
  • Biomedical Engineering
  • Image Processing

Background:

  • Corneal diseases are diagnosed using videokeratography, which analyzes Placido disc reflections on the cornea.
  • Current videokeratograph algorithms lack transparency, hindering research and precision improvements.
  • Accurate image processing is crucial for detecting subtle corneal anomalies.

Purpose of the Study:

  • To evaluate the Mumford-Shah segmentation method for analyzing Placido disc images.
  • To improve the accuracy of detecting inflection points in corneal surface measurements.
  • To compare the Mumford-Shah method against traditional image processing techniques.

Main Methods:

  • Segmentation of the Placido disc in polar coordinates using a radial diagonal image section.

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  • Application of the Mumford-Shah functional for signal analysis.
  • Comparison with Marr-Hildreth filters, numerical derivative, Fourier derivative, morphological Laplacian, and Canny derivative.

    • Main Results:

    • The Mumford-Shah method achieved higher accuracy in identifying inflection points compared to other methods.
    • This technique successfully detected inflection positions without false positives.
    • The Mumford-Shah method demonstrated superior noise reduction capabilities in the original signal.

    Conclusions:

    • The Mumford-Shah functional is a highly effective method for analyzing videokeratograph images.
    • This approach significantly enhances the precision and reliability of corneal surface measurements.
    • Implementing Mumford-Shah segmentation can lead to more accurate diagnoses of corneal diseases.