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The binding is established by a mapping between mesh vertices and the rod's directors. Deformation of the elastic tube is accomplished in two phases. First, the reference rod is deformed according to Cosserat theory. Next, the mesh is deformed using Laplacian deformation according to its mapping to the rod and its surface elastic energy. This hybrid approach allows the tube to deform in a physically correct manner in relation to the bending, twisting, shearing, and stretching Links of London Rings the reference rod. It also allows the surface to deform realistically and efficiently according to surface elastic energy and the shape of the reference rod. In this way, the deformation of elastic hollow tubes with large, nonrigid crosssections can be simulated accurately and efficiently. PUBLICATION ABSTRACT Updating a Delaunay triangulation when data points are slightly moved is the bottleneck of computation time in variational methods for mesh generation and remeshing. Utilizing the connectivity coherence between two consecutive Delaunay triangulations for computation speedup is the key to solving this problem. Our contribution is an effective filtering technique that confirms most bicells whose Delaunay connectivities remain unchanged after the points are perturbed. Based on bicell flipping, we present an efficient algorithm for updating twodimensional and threedimensional Delaunay triangulations of dynamic Links of London U Charm sets. Experimental results show that our algorithm outperforms previous methods. A featureoriented generic progressive lossless mesh coder FOLProM is proposed to encode triangular meshes with arbitrarily complex geometry and topology. In this work, a sequence of levels of detail LODs are generated through iterative vertex set split and bounding volume subdivision. The incremental geometry and connectivity updates associated with each vertex set split andor bounding volume subdivision are entropy coded. Due to the visual importance of sharp geometric features, the whole geometry coding process is optimized for a better presentation of geometric features, especially at low coding bitrates. Featureoriented optimization in FOLProM is performed in hierarchy control and adaptive quantization. Efficient coordinate representation and prediction schemes are employed to reduce the entropy of data significantly. Furthermore, a simple yet efficient connectivity coding scheme is proposed. It is shown that FOLProM offers a significant ratedistortion RD gain over the prior art, which is especially obvious at low bitrates. The task Links of London T Charm dynamic mesh compression seeks to find a compact representation of a surface animation, while the artifacts introduced by the representation are as small as possible. In this paper, we present two geometric predictors, which are suitable for PCAbased compression schemes.