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In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
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An improved corner dealiasing and recognition algorithm for 2D Wadell roundness computation.

Jianhuang Chen1, Zhongjian Zhang2, Daming Lin3

  • 1Department of Civil Engineering, School of Engineering and Technology, China University of Geosciences (Beijing), No. 29 Xueyuan Road, Haidian District, Beijing, 100083, China.

Scientific Reports
|April 24, 2024
PubMed
Summary
This summary is machine-generated.

This study refines particle roundness calculation using digital image processing. New methods improve accuracy for complex shapes, minimizing errors in 2D Wadell roundness analysis.

Keywords:
Corners recognitionCyclic midpoint filteringDigital image processingOutline dealiasingWadell roundness

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Area of Science:

  • Geology
  • Image Analysis
  • Computational Geometry

Background:

  • Particle shape analysis is crucial in geology and materials science.
  • Accurate measurement of particle roundness is essential for understanding geological processes and material properties.
  • Existing digital image processing methods for Wadell roundness calculation face challenges with aliasing and corner detection.

Purpose of the Study:

  • To optimize the 2D Wadell roundness calculation using advanced digital image processing techniques.
  • To develop and validate algorithms for improved corner key point grouping and dealiasing.
  • To establish relationships between corner pixel count, central angle, and dealiasing parameters to minimize calculation errors.

Main Methods:

  • Implementation of an algorithm for grouping corner key points to identify independent corners.
  • Introduction of a cyclic midpoint filtering method for corner dealiasing to mitigate aliasing.
  • Establishment of mathematical relationships between the number of corner pixels (m), central angle (α), and dealiasing degree (n).
  • Validation using a Krumbein chart and sandstone thin section images.

Main Results:

  • The optimized method achieves a maximum error of 5.21% for Wadell roundness when the central angle (α) is ≥30°.
  • Errors increase for smaller central angles (12° ≤ α < 30°).
  • Interpolation to increase corner pixels (m) to a minimum number (m₀) effectively minimizes corner circle errors.
  • Increased m widens the optimal range for n, and higher α reduces dependence on m.

Conclusions:

  • The proposed digital image processing approach significantly enhances the accuracy of 2D Wadell roundness calculation.
  • The developed dealiasing and corner grouping methods are effective for analyzing complex closed contours.
  • The findings provide a robust method for precise particle shape analysis in geological and material science applications.