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Segmentation d'images couleur par un opérateur gradient vectoriel ...

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QUANTIFICATION ET MORPHOLOGIE DE PHASES DE CLINKER PAR ANALYSE D'IMAGE.<br />

2.6 EXPERIMENTAL RESULTS & DISCUSSIONS<br />

The validation of the system is made in two steps: firstly, the validation of the automatic<br />

crystal classification in the image, and secondly, the com<strong>par</strong>ison of the clinker composition<br />

determined by automatic analysis with the classical point co<strong>un</strong>ting method. Three representative<br />

clinkers from the Lafarge laboratory with different origins and characteristics were analysed. For<br />

the image analyser, 50 images in the clinker were selected randomly. This involved the<br />

classification of about 18 000 test-points in each clinker. Table 1 shows the results obtained by<br />

automatic classification. The second column (b) of each clinker gives a reference value. It<br />

presents the statistic composition computed with the same images, when an expert manually<br />

corrected the classification errors of the automatic method. The difference between column a)<br />

and b) measures the efficiency of the automatic image analysis and segmentation. The small<br />

difference between the values ensures that it is possible to recognise the crystal phases in the<br />

clinker with a good precision.<br />

Table 2 com<strong>par</strong>es the composition obtained by automatic analysis of 50 images (a) and by<br />

classical co<strong>un</strong>ting of 2000 points by an expert in the Lafarge laboratory (b). In the manual<br />

technique, two points are placed in a distance of 100µm, and they are never located in the same<br />

crystal. Our co<strong>un</strong>ting approach differs by a smaller distance (5µm) between the points. Several<br />

points are taken in the same crystal.<br />

Table 1. Classification results of the algorithm for three test clinkers (mass percentage) a) automatic<br />

classification, b) automatic classification & expert correction.<br />

Clinker 1 Clinker 2 Clinker3<br />

Crystals: a) b) a) b) a) b)<br />

Alite 54.3 % 52.8 % 57.9 % 59.5 % 53.8 % 57.7 %<br />

Belite 21.1 % 24.5 % 20.3 % 21.9 % 29.0 % 24.1 %<br />

Matrix 24.6 % 22.7 % 21.8 % 18.6 % 17.2 % 18.2 %<br />

Table 2. Com<strong>par</strong>ison of the point co<strong>un</strong>ting and the automatic classification (mass percentage) a)<br />

automatic classification, b) point co<strong>un</strong>ting.<br />

Clinker 1 Clinker 2 Clinker3<br />

Crystals: a) b) a) b) a) b)<br />

Alite 54.3 % 57.3 % 57.9 % 68.3 % 53.8 % 58.8 %<br />

Belite 21.1 % 24.0 % 20.3 % 17.3 % 29.0 % 24.0 %<br />

Matrix 24.6 % 18.7 % 21.8 % 14.4 % 17.2 % 17.2 %<br />

The results on clinker 1 were com<strong>par</strong>able. For the second one, a significant difference in<br />

the contents of alite is not caused by the failure of the image classification (results in Table 1 are<br />

nearly the same for automatic and corrected classification), but it is caused by the choice the 50<br />

images of the clinker. The number of 50 images or the choice of these images was not as<br />

WORLD CEMENT RESEARCH AND DEVELOPMENT 1998 106

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