3D spherical-cap fitting procedure for (truncated) sessile nano- and micro-droplets and -bubbles

Tan, H, Peng, S, Sun, C, Zhang, X and Lohse, D 2016, '3D spherical-cap fitting procedure for (truncated) sessile nano- and micro-droplets and -bubbles', European Physical Journal E, vol. 39, no. 11, 106, pp. 1-10.


Document type: Journal Article
Collection: Journal Articles

Title 3D spherical-cap fitting procedure for (truncated) sessile nano- and micro-droplets and -bubbles
Author(s) Tan, H
Peng, S
Sun, C
Zhang, X
Lohse, D
Year 2016
Journal name European Physical Journal E
Volume number 39
Issue number 11
Article Number 106
Start page 1
End page 10
Total pages 10
Publisher Springer
Abstract In the study of nanobubbles, nanodroplets or nanolenses immobilised on a substrate, a cross-section of a spherical cap is widely applied to extract geometrical information from atomic force microscopy (AFM) topographic images. In this paper, we have developed a comprehensive 3D spherical-cap fitting procedure (3D-SCFP) to extract morphologic characteristics of complete or truncated spherical caps from AFM images. Our procedure integrates several advanced digital image analysis techniques to construct a 3D spherical-cap model, from which the geometrical parameters of the nanostructures are extracted automatically by a simple algorithm. The procedure takes into account all valid data points in the construction of the 3D spherical-cap model to achieve high fidelity in morphology analysis. We compare our 3D fitting procedure with the commonly used 2D cross-sectional profile fitting method to determine the contact angle of a complete spherical cap and a truncated spherical cap. The results from 3D-SCFP are consistent and accurate, while 2D fitting is unavoidably arbitrary in the selection of the cross-section and has a much lower number of data points on which the fitting can be based, which in addition is biased to the top of the spherical cap. We expect that the developed 3D spherical-cap fitting procedure will find many applications in imaging analysis. Graphical abstract: [Figure not available: see fulltext.]
Subject Mathematical Sciences not elsewhere classified
Physical Sciences not elsewhere classified
Keyword(s) Tips and Tricks
DOI - identifier 10.1140/epje/i2016-16106-6
Copyright notice © EDP Sciences
ISSN 1292-8941
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