Browsing Solid Modeling by Subject "Computational Geometry and Object Modeling"
Now showing items 1-7 of 7
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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 ... -
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 ... -
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 ... -
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 ... -
Shortest Circuits with Given Homotopy in a Constellation
(The Eurographics Association, 2004)Abstract A polynomial method is described for computing the shortest circuit with a prescribed homotopy on a surface. The surface is not described by a mesh but by a constellation: a set of sampling points. Points close ... -
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 ... -
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 ...