Acta Stereologica

0351-580X

 

since 05 December 2013 :
View(s): 273 (2 ULiège)
Download(s): 79 (2 ULiège)
print        
Carl Redon, Liliane Chermant, Michel Coster & Jean-Louis Chermant

Measurements of orientation in a discretized space by Fourier transform: automatic investigation of fiber orientation in a reinforced concrete

(Volume 17 (1998) — Number 1 - June 1998)
Article
Open Access

Attached document(s)

Annexes

Abstract

Usual algorithms implemented on many automatic analyzers to establish the roses of directions are too sensitive to digitization, which can lead to biased results. With usual methods indeed, measurements are conducted at the local 3 x 3 pixel scale. Moreover at that local scale, only 0°, ± 26.5°, ± 45°, ± 63.5° and 92° directions can be selected. As measurements are performed at the scale of the whole image (256 x 256 or 512 x 512 pixels), the incidence of digitization artefacts is considerably decreased. In such a manner it appears that the (Fast) Fourier Transform (FFT) algorithm, whose procedures are described, is a well suited method to give an actual estimate of orientation. Moreover, depending on the accuracy required, a larger number of orientations can be investigated and without any bias. Automatic length measurements are done at a local 3 x 3 pixel scale. The direct use of the FFT can only contribute to reduce the error of length measurements. The examples given in this paper are concerning a civil engineering material: global fiber arrangement was quantified in a concrete reinforced with metallic glass ribbons.

Keywords : automatic image analysis, digitization, Fourier image transform, orientation, rose of directions

To cite this article

Carl Redon, Liliane Chermant, Michel Coster & Jean-Louis Chermant, «Measurements of orientation in a discretized space by Fourier transform: automatic investigation of fiber orientation in a reinforced concrete», Acta Stereologica [En ligne], Volume 17 (1998), Number 1 - June 1998, 93-98 URL : https://popups.uliege.be/0351-580x/index.php?id=2525.

About: Carl Redon

LRM2C, Groupe ESTP, 1 rue P. et M. Curie, 14610 Epron, France

About: Liliane Chermant

LERMAT, URA CNRS 1317, ISMRA,6 Bd Maréchal Juin, 14050 Caen Cedex, France

About: Michel Coster

LERMAT, URA CNRS 1317, ISMRA,6 Bd Maréchal Juin, 14050 Caen Cedex, France

About: Jean-Louis Chermant

LERMAT, URA CNRS 1317, ISMRA,6 Bd Maréchal Juin, 14050 Caen Cedex, France