Measuring the Quantitative Characteristics of Local Vortices on a Plane of a Deformed Material

  • V. V. KibitkinEmail author
  • A. I. Solodushkin
  • V. S. Pleshanov
Analysis and Synthesis of Signals and Images


A problem for determining the center, size, and spatial distribution of displacements of a vortex on the basis of a plane vector field is under consideration. A seed algorithm is proposed instead of typical contour scanning, and specific circulation is used as a criterion for determining the center of a vortex flow. In order to increase the stability of this algorithm, a parameter playing the role of a threshold is introduced. A Monte-Carlo method is used to study the influence of measurement errors on the accuracy in determining the coordinates of a hard rotation center, and the relationship between the false alarm probability and the threshold level is established. The use of the least squares method for calculating the spatial distribution of displacements is shown. This approach is demonstrated on the example of a real vector field measured in the vicinity of a main crack tip.


digital image correlation method vector field vortex error Monte-Carlo method deformation pseudoimage 


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Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  • V. V. Kibitkin
    • 1
    Email author
  • A. I. Solodushkin
    • 1
  • V. S. Pleshanov
    • 1
  1. 1.Institute of Strength Physics and Materials Science, Siberian BranchRussian Academy of SciencesTomskRussia

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