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Efficient and Robust Computation of an Approximated Medial Axis
(The Eurographics Association, 2004)
The medial axis can be viewed as a compact representation for an arbitrary model; it is an essential geometric structure in many applications. A number of practical algorithms for its computation have been aimed at speeding ...
GPU-based Real-time On-surface Droplet Flow in X3D
(The Eurographics Association, 2009)
This paper presents a method for the GPU-based real-time simulation of droplet flows on 3D surfaces. It is also outlined, how this approach can be embedded into X3D. Therefore, a concept and its implementation is presented, ...
Using Cayley Menger Determinants
(The Eurographics Association, 2004)
We use Cayley-Menger Determinants (CMDs) to obtain an intrinsic formulation of geometric constraints. First, we show that classical CMDs are very convenient to solve the Stewart platform problem. Second, issues like distances ...
Adaptive Tessellation of Subdivision Surfaces in OpenSG
(The Eurographics Association, 2003)
The need for realistic models especially in virtual reality environments leads us to freeform shapes like subdivision surfaces. Based on a standard polygonal mesh, the modeller can build various kinds of shapes using an ...
Automatic Building of Structured Geological Models
(The Eurographics Association, 2004)
The present article proposes a method to signi cantly improve the construction and updating of 3D geological models used for oil and gas exploration. The proposed method takes advantage of the speci c structures which ...
A Framework for Multiresolution Adaptive Solid Objects
(The Eurographics Association, 2004)
Despite the growing interest in subdivision surfaces within the computer graphics and geometric processing communities, subdivision approaches have been receiving much less attention in solid modeling. This paper presents ...
Update Operations on 3D Simplicial Decompositions of Non-manifold Objects
(The Eurographics Association, 2004)
We address the problem of updating non-manifold mixed-dimensional objects, described by three-dimensional simplicial complexes embedded in 3D Euclidean space. We consider two local update operations, edge collapse and ...
Multiresolution Heterogeneous Solid Modeling and Visualization Using Trivariate Simplex Splines
(The Eurographics Association, 2004)
This paper presents a new and powerful heterogeneous solid modeling paradigm for representing, modeling, and rendering of multi-dimensional, physical attributes across any volumetric objects. The modeled solid can be of ...