A polygonal mesh is a connected subset of a polyhedral surface. We address the problem whether the intrinsic metric of a mesh, i.e., its development, can determine the exterior metric. If this is the case then the mesh is rigid. Among the non-rigid cases even flexible versions are possible. We concentrate on quadrangular meshes and in particular on a mesh with a flat pose in which the quadrangl...

We perform numerical simulations of several 3D uid-particle interaction problems. We simulate the sedimentation in a liquid lled tube of multiple spheres ranging in number from two to ve. The Navier-Stokes equations for incompressible ow are solved using the stabilized space-time nite element method. This method gives us the exibility to move the mesh to accommodate the motion of the spheres. A...

We present a 2-D mesh-based mosaic representation, consisting of an object mesh and a mosaic mesh for each frame and a nal mosaic image, for video objects with mildly deformable motion in the presence of self and/or object-to-object (external) occlusion. Unlike classical mosaic representations where successive frames are registered using global motion models, we map the uncovered regions in the...

This thesis addresses the problem of modeling the time-varying shapeof a dynamic scene, as seen from a sparse multi-camera system. No restrictions areplaced on the scene either on the type and number of the actors in the scene, or onthe nature of their interactions. A priori, computer vision algorithms of surface re-construction based on silhouettes and multi-view stereo are per...

This thesis addresses the problem of modeling the time-varying shapeof a dynamic scene, as seen from a sparse multi-camera system. No restrictions areplaced on the scene either on the type and number of the actors in the scene, or onthe nature of their interactions. A priori, computer vision algorithms of surface re-construction based on silhouettes and multi-view stereo are per...

We describe a dual layer algorithm for mesh-based motion estimation. The proposed algorithm, employing meshes at different scales, aims to improve the rate-distortion performance at fixed bit rates. Without the need for time-consuming evaluation, the proposed algorithm identifies the motionactive regions in a picture. By enhancing the mesh structure in the aforementioned regions, a significant ...

In this paper, a technique is presented that incorporates an irregular triangle mesh into wavelet-domain motion estimation and compensation using a shift-invariant redundant wavelet transform. The main contribution of this work resides in a demonstration that triangle-mesh motion estimation and compensation can be deployed more effectively in the redundant-wavelet domain thanks to a simple corr...

Purpose : Determination of oscillation process mechanisms affecting the coating operation and rational visualization results obtained. Methodology The analysis dynamic effects on cylindrical mesh coatings. considered grid shape has a diagonal element in middle. Numerical calculations are conducted using software. Research findings Structures under static loads studied. Mathematical dependencies...