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Localisation, reconstruction et mosaïque appliquées aux peintures sur cylindres généralisés à axe droit en vision monoculaire

Stéphane Perret 1
1 INFODIS
TIMC - Techniques de l'Ingénierie Médicale et de la Complexité - Informatique, Mathématiques et Applications, Grenoble - UMR 5525
Abstract : In these works, we present methods to localize and to reconstruct cylindrical surfaces. A depicted scene may be mapped or painted on these cylindrical surfaces. In the case of monocular vision, we need to use it a priori knowledge. We assume cross-sections of Straight Homogeneous Generalized Cylinders (SHGC) are projected in the image plane in curves. The proposed methods are applied on works of art and the results can be used for painting restoration. In order to obtain a better resolution, we also present the problem of mosaicing. In a first time we provide some definitions concerning the camera model, cylindrical surfaces, it a priori knowledge and we give some connexions between image processing and works of art. We present two methods of projected axis detection in the image plane and we describe how to detect a second axis in the image. After detecting these two axes, we are able to localize a Straight Uniform Generalized Cylinder (SUGC) in the camera coordinate system. We show a method of 3D reconstruction of SUGC. This method can be used for SHGC with closed cross-sections (circle, ellipse) or opened cross-sections (parabola, ellipse). We show a linear relationship between the altitude of a SUGC cross-section and its projection in the image plane. We propose an automatic mosaicing method based on region matching. The image regions with large distortions, caused by perspective projection, are excluded from matching. We evaluate the bounds of the necessary number of views in order to represent the entire scene from a SUGC. We illustrate these works on synthetic examples and real paintings.
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Stéphane Perret. Localisation, reconstruction et mosaïque appliquées aux peintures sur cylindres généralisés à axe droit en vision monoculaire. Autre [cs.OH]. Institut National Polytechnique de Grenoble - INPG, 1997. Français. ⟨tel-00004961⟩

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