A 3D T-mesh is basically a partition of a cuboid such that every part is a smaller cuboid. In this paper we define the spline spaces over 3D T-meshes, which would play an important role in adaptive and dynamic implicit surface reconstruction from unorganized point clouds, and present a dimension formula about the spline space over a special kind of T-mesh, i.e., 3D hierarchical T-mesh. The form...

As the demands of high quality visual service have increased recently from consumers, many researchers and companies have focused on the development of multimedia applications based on 3-D models, avatars and animations. However, it will be a difficult work to develop some applications related to 3-D mesh model transmission since they should accept the tremendous amount of transmission data for...

Title of dissertation: DIAMOND-BASED MODELS FOR SCIENTIFIC VISUALIZATION Kenneth Weiss, Doctor of Philosophy, 2011 Dissertation directed by: Professor Leila De Floriani Department of Computer Science Hierarchical spatial decompositions are a basic modeling tool in a variety of application domains including scientific visualization, finite element analysis and shape modeling and analysis. A popu...

A hierarchical simplicial mesh is a recursive decomposition of space into cells that are simplices. Such a mesh is compatible if pairs of neighboring cells meet along a single common face. Compatibility condition is important in many applications where the mesh serves as a discretization of a function. Enforcing compatibility involves refining the simplices of the mesh further, thus generates a...

The fully coupled approach for the solution of elastohydrodynamic lubrication (EHL) point contact problems requires the numerical solution of the elasticity problem on a large 3D domain. A sufficiently fine computational mesh is required to obtain the elastic deformation solution to the necessary accuracy, and hence a sufficiently accurate EHL point contact solution. This paper discusses the ac...

An adaptive refinenlenl, strategy based on hierarchical elelnellt sul_division is formulat.ed and iml)h'nwt+ted for meshes containing arl)ilrarv nlixlltres o[ t.et.rahedra, hexahedra. 1)risms and pyramids. Special at.tentiot_ is given to keepitlg metnorv overheads as low as possible. This pt'ocedure is coupled with an algel)raic multigrid flow solver which ol)erales on mixedelement meshes. Invi...

Semi-regular meshes describe surface models that exhibit a structural regularity that facilitates many geometric processing algorithms. We introduce a technique to construct semi-regular, quad-only meshes from input surface meshes of arbitrary polygonal type and genus. The algorithm generates a quad-only model through subdivision of the input polygons, then simplifies to a base domain that is h...

In this paper, the quadtree data structure and conforming polygonal interpolants are used to develop an h-adaptive finite element method. Quadtree is a hierarchical data structure that is computationally attractive for adaptive numerical simulations. Mesh generation and adaptive refinement of quadtree meshes is straight-forward. However, finite elements are non-conforming on quadtree meshes due...