Applications and Limitations of Boundary-Line Fractal Analysis of Irregular Surfaces: Proteins, Aggregates, and Porous Materials

Dina Farin, David Avnir, Shmuel Peleg, David Yavin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

107 Scopus citations

Abstract

Computerized image analysis techniques are developed for fractal analysis of boundary lines of objects possessing irregular surfaces. The objects analyzed are proteins, a catalyst, macroporous silica gel, simulated colloidal flocs, and a carbon black aggregate. Application to stylus profilometry is demonstrated. It is shown that the standard fractal line analyses are insensitive and may lead to questionable interpretations. More sensitive methods are presented and used to reanalyze previous reports and to investigate the applicability of the concept of self-similarity in nonstatistical analyses. Conditions under which line fractal dimension is indicative of surface roughness are briefly discussed.

Original languageEnglish
Pages (from-to)399-407
Number of pages9
JournalLangmuir
Volume1
Issue number4
DOIs
StatePublished - Jul 1985

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