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Now showing items 21-30 of 43
Stability and Homotopy of a Subset of the Medial Axis
(The Eurographics Association, 2004)
Medial Axis is known to be unstable for non smooth objects. The Medial Axis has applications in image analysis and mathematical morphology, Solid Modeling, or domain decomposition for CAD to CAE (i.e. Finite Elements) ...
Contour Interpolation with Bounded Dihedral Angles
(The Eurographics Association, 2004)
In this paper, we present the first nontrivial theoretical bound on the quality of the 3D solids generated by any contour interpolation method. Given two arbitrary parallel contour slices with n vertices in 3D, let a be ...
Progressive Dimension-Independent Boolean Operations
(The Eurographics Association, 2004)
This paper introduces a new progressive multi-resolution approach for representating and processing polyhedral objects of any dimension. Our representation, a variant of BSP trees [Nay90] combined with the Split scheme ...
History Based Reactive Objects for Immersive CAD
(The Eurographics Association, 2004)
Virtual Environments (VE) allow direct 3D interaction, better perception of shapes and a feel of immersion, properties that are highly desirable for design tasks. Traditional CAD software extensively use WIMP interfaces ...
Efficient Processing of 3D Scanned Models
(The Eurographics Association, 2004)
The construction of detailed and accurate 3D models is made easier by the increasing diffusion of automatic sampling devices (often called 3D scanners). These allow to build digital models of real 3D objects in a cost- and ...
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 ...
Developability-preserved Free-form Deformation of Assembled Patches
(The Eurographics Association, 2004)
A novel and practical approach is presented in this paper that solves a constrained free-form deformation (FFD) problem where the developability of the tessellated embedded surface patches is preserved during the lattice ...
Implicit Curve and Surface Design Using Smooth Unit Step Functions
(The Eurographics Association, 2004)
This paper presents an implicit curve and surface design technique that uses smooth unit step functions. With the proposed method, an implicit curve or surface can be generated by inputting a sequence of points together ...
Optimization Techniques for Approximation with Subdivision Surfaces
(The Eurographics Association, 2004)
We present a method for scattered data approximation with subdivision surfaces which actually uses the true representation of the limit surface as a linear combination of smooth basis functions associated with the control ...
Planar Parameterization for Closed Manifolds Genus-1 Meshes
(The Eurographics Association, 2004)
Parameterization of 3D meshes is important for many graphics and CAD applications, in particular for texture mapping, re-meshing and morphing. Current parameterization methods for closed manifold genus-n meshes usually ...