IDEAS home Printed from https://ideas.repec.org/a/spr/metcap/v18y2016i1d10.1007_s11009-014-9403-x.html
   My bibliography  Save this article

Second-Order Characteristics of the Edge System of Random Tessellations and the PPI Value of Foams

Author

Listed:
  • Claudia Redenbach

    (University of Kaiserslautern)

  • Joachim Ohser

    (University of Applied Sciences Darmstadt)

  • Ali Moghiseh

    (University of Applied Sciences Darmstadt)

Abstract

The mean number of pores per inch (PPI) is widely used as a pore size characteristic for foams. Nevertheless, there is still a lack of fast and reliable methods for estimating this quantity. We propose a method for estimating the PPI value based on the Bartlett spectrum of a dark field image of the material. To this end, second-order properties of the edge systems of random tessellations are investigated in detail. In particular, we study the spectral density of the random length measure of the edges. It turns out that the location of its first local maximum is proportional to the PPI value. To determine the factor of proportionality, several random tessellation models as well as examples of real foams are investigated. To mimic the image acquisition process, 2D sections and projections of 3D tessellations are considered.

Suggested Citation

  • Claudia Redenbach & Joachim Ohser & Ali Moghiseh, 2016. "Second-Order Characteristics of the Edge System of Random Tessellations and the PPI Value of Foams," Methodology and Computing in Applied Probability, Springer, vol. 18(1), pages 59-79, March.
    • Handle: RePEc:spr:metcap:v:18:y:2016:i:1:d:10.1007_s11009-014-9403-x
    DOI: 10.1007/s11009-014-9403-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11009-014-9403-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11009-014-9403-x?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. C. H. Arns & J. Mecke & K. Mecke & D. Stoyan, 2005. "Second-order analysis by variograms for curvature measures of two-phase structures," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 47(3), pages 397-409, October.
    Full references (including those not matched with items on IDEAS)

    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. Lachièze-Rey, Raphaël, 2019. "Bicovariograms and Euler characteristic of random fields excursions," Stochastic Processes and their Applications, Elsevier, vol. 129(11), pages 4687-4703.

    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:spr:metcap:v:18:y:2016:i:1:d:10.1007_s11009-014-9403-x. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.