mlsanityData to 13 Oct 2026

Two new parameters for the ordinal analysis of images

arXiv 2212.14643 ↗First posted 30 Dec 2022cs.CVcited by 1

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Abstract (arXiv)

Local patterns play an important role in statistical physics as well as in image processing. Two-dimensional ordinal patterns were studied by Ribeiro et al. who determined permutation entropy and complexity in order to classify paintings and images of liquid crystals. Here we find that the 2 by 2 patterns of neighboring pixels come in three types. The statistics of these types, expressed by two parameters, contains the relevant information to describe and distinguish textures. The parameters are most stable and informative for isotropic structures.

Key facts. Cited by 1 paper in the map (data through 13 Oct 2026). Builds on 2 of its 25 references that are in the map. First posted on arXiv 30 Dec 2022.

Builds on

2 of 25 references.

References · 2

  1. 2016Discriminating image textures with the multiscale two-dimensional complexity-entropy causality planecited by 5
  2. 2019Estimating physical properties from liquid crystal textures via machine learning and complexity-entropy methodscited by 4

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Cited by year (2026 to 13 Oct)

Citing papers per year: 2026: 1.

1 paper.

  1. 2026Interpretable liquid crystal phase classification via two-by-two ordinal patternscited by 0