, Positionnement des modèles de vertèbres en fonction des localisations des corps vertèbraux C i et des rotations axiales La deuxième étape consiste à placer les vertèbres, qui comme expliqué section 2.2, s'orientent dans les 3 plans de l'espace. Pour chaque vertèbre i , nous proposons alors d'utiliser un repère de Frénet-Serret afin d'approximer l'orientation de chaque vertèbre, comme le suggèrent les travaux de, FIGURE 7.20: Placement du modèle de vertèbre par rapport aux plans de symétrie locaux FIGURE 7, vol.21, 2001.
, nous proposons d'utiliser la tangente à la ligne interne interpolée, au point C i . Pour finir, la binormale au point C i est déduite à partir de ces deux derniers
, Sur cette visualisation, un facteur f i égal à la FIGURE 8.4: Décorrélation de l'analyse de la carte d'asymétrie et de la ligne de symétrie, vol.1
, 2. quantification pré-thérapeutique de l'asymétrie
, Une collaboration avec le Centre Hospitalier Universitaire de Montpellier nous a permis d'obtenir une reconstruction surfacique d'un visage asymétrique. Le résultat de la ligne de symétrie calculée sur ce dernier est illustré figure 8.5. On remarque alors que, malgré l'asymétrie importante du visage du patient, l'ensemble des points de symétrie la constituant suivent bien la ligne centrale du visage, en passant par le milieu du front, entre les yeux, puis par le nez pour finir en passant par le milieu de la lèvre et du menton. Ainsi, dans ce cas, l'asymétrie est bien mise en évidence par un ensemble de symétries, qui sont très loin d'appartenir à un seul plan. Ce premier résultat laisse donc à penser que nos contributions pourraient relativement facilement être étendues à l'étude d'autres surfaces anatomiques. Un autre sujet d, La ligne de symétrie du visage permet de détecter des points anatomiques de références, qui peuvent être étudiés au moment du diagnostic de la scoliose faciale et pour la planification du traitement, 2004.
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