Résumé: To reconstruct the shape of objects from incomplete point sets or noisy images, robust and accurate reconstruction methods are required. This paper presents a physics- based approach for automatically reconstructing three- dimensional shapes in a robust and proper manner from partially missing data. In modal space, an object ’s shape is described by modal deformations within each free vibration mode. In general, modes provide global- to- local ordering of shape deformation that allows us to select which types of deformations are to be used to reconstruct objects. By discarding high- frequency modes, the required computational time can be reduced without loss of accuracy. Moreover, the reconstructed shapes are relatively robust for partially missing data because of the stability of low- frequency modes. Unlike most existing approaches using a prototype with a priori .xed material properties, we calculate deformation modes directly from available data and allow the update of material properties to incorporate observations. As a result more improved shapes can be obtained. This new reconstruction algorithm is applied to point sets obtained from meshes and boundary contours in medical images.

Langue: Anglais