Simplex meshes are simply connected meshes that are topologically dual of triangulations In a pre vious work we have introduced the simplex mesh representation for performing recognition of par tially occluded smooth objects In this paper we present a physically based approach for recovering three dimensional objects based on the geometry of simplex meshes Elastic behavior is modelled by lo cal...

In this report, we develop the concept of simplex mesh as a representation of deformable models. Simplex meshes are simply connected meshes that are topologically dual of triangulations. In a previous work, we have introduced the simplex mesh representation for performing recognition of partially occluded smooth objects. In this paper, we present a physically-based approach for recovering three...

Simplex meshes are simply connected meshes that are topologically dual of triangulations In a pre vious work we have introduced the simplex mesh representation for performing recognition of par tially occluded smooth objects In this paper we present a physically based approach for recovering three dimensional objects based on the geometry of simplex meshes Elastic behavior is modelled by lo cal...

Simplex meshes are simply connected meshes that are topologically dual of triangulations. In a previous work, we have introduced the simplex mesh representation for performing recognition of partially occluded smooth objectss3]. In this paper, we present a physically-based approach for recovering three-dimensional objects, based on the geometry of simplex meshes. Elastic behavior is modelled by...

Segmentation of time series of 3D cardiac images is clinically used for the assessment of the mechanical function of the left ventricle. To take into account the 4D (3D+T) nature of those images, we propose to extend the deformable surface framework by introducing time-dependent constraints. Thus, in addition to computing an internal force for enforcing the regularity of the deformable model, p...

Virtual cutting of deformable bodies has been an important and active research topic in physically-based simulation for more than a decade. A particular challenge in virtual cutting is the robust and efficient incorporation of cuts into an accurate computational model that is used for the simulation of the deformable body. This report presents a coherent summary of the state-of-the-art in virtu...

Discrete curvature and shape operators, which capture complete information about directional curvatures at a point, are essential in a variety of applications: simulation of deformable two-dimensional objects, variational modeling and geometric data processing. In many of these applications, objects are represented by meshes. Currently, a spectrum of approaches for formulating curvature operato...

Most deformable surfaces used in computer vision are restricted to a simple underlying mesh topology. This is a considerable limitation when dealing with complicated objects whose topology is not known in advance. In previous work we introduced a deformable surface that can take on arbitrary topology while maintaining geometric continuity throughout. In this paper we present some recent advance...

Meshless deformation based on shape matching is a new technique for simulating deformable objects without requiring mesh connectivity information. The approach focuses on speed, ease of use and stability at the expense of physical accuracy. In this paper we introduce improvements to the technique that increase physical realism and make it more suitable for use in interactive real-time environme...