IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v628y2023ics0378437123006921.html
   My bibliography  Save this article

The 2- and 3-point surface correlation functions calculations: From novel exact continuous approach to improving methodology for discrete images

Author

Listed:
  • Postnicov, Vasily
  • Karsanina, Marina V.
  • Khlyupin, Aleksey
  • Gerke, Kirill M.

Abstract

Surface correlation functions are extremely useful descriptors of interfaces and in this role can be used in material science, rock and soil physics, food engineering and other numerous areas. However, their widespread usage was hampered by insufficiently robust computation methodologies. In this contribution we elaborate on recent works in surface function evaluation and present a novel exact algorithm to compute surface–surface (Fss) and surface–surface–surface (Fsss) functions for smooth boundary sets without discretization. This allows us to test digital computational approach on geometries beyond those available as analytical solutions. Moreover, we propose a better edge detection filter that allowed to improve the quality of assessment of surface correlation functions, both surface–surface (Fss) and surface-void (Fsv), for digital images. The code for continuous and discrete computational frameworks is freely available and is now the part of the more general CorrelationFunctions.jl package.

Suggested Citation

  • Postnicov, Vasily & Karsanina, Marina V. & Khlyupin, Aleksey & Gerke, Kirill M., 2023. "The 2- and 3-point surface correlation functions calculations: From novel exact continuous approach to improving methodology for discrete images," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 628(C).
  • Handle: RePEc:eee:phsmap:v:628:y:2023:i:c:s0378437123006921
    DOI: 10.1016/j.physa.2023.129137
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437123006921
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2023.129137?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Marina V Karsanina & Kirill M Gerke & Elena B Skvortsova & Dirk Mallants, 2015. "Universal Spatial Correlation Functions for Describing and Reconstructing Soil Microstructure," PLOS ONE, Public Library of Science, vol. 10(5), pages 1-26, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Cherkasov, Aleksei & Gerke, Kirill M. & Khlyupin, Aleksey, 2024. "Towards effective information content assessment: Analytical derivation of information loss in the reconstruction of random fields with model uncertainty," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nannan Wang & Tibin Zhang, 2024. "Soil pore structure and its research methods: A review," Soil and Water Research, Czech Academy of Agricultural Sciences, vol. 19(1), pages 1-24.
    2. Cherkasov, Aleksei & Gerke, Kirill M. & Khlyupin, Aleksey, 2024. "Towards effective information content assessment: Analytical derivation of information loss in the reconstruction of random fields with model uncertainty," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    3. repec:caa:jnlswr:v:preprint:id:64-2023-swr is not listed on IDEAS
    4. Karsanina, Marina V. & Gerke, Kirill M., 2023. "Stochastic (re)constructions of non-stationary material structures: Using ensemble averaged correlation functions and non-uniform phase distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:628:y:2023:i:c:s0378437123006921. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.