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An Effective Condition for Sampling Surfaces with Guarantees
(The Eurographics Association, 2004)
The notion of e-sample, as introduced by Amenta and Bern, has proven to be a key concept in the theory of sampled surfaces. Of particular interest is the fact that, if E is an e-sample of a smooth surface S for a suf ciently ...
Integrated Feature-Based and Geometric CAD Data Exchange
(The Eurographics Association, 2004)
Data exchange between CAD systems is an extremely important solid modeling concept, fundamental both for the theory of the field and for its practical applications. The two main data exchange (DE) paradigms are geometric ...
Medial Axis Extraction and Shape Manipulation of Solid Objects Using Parabolic PDEs
(The Eurographics Association, 2004)
Shape skeletonization (i.e., medial axis extraction) is powerful in many visual computing applications, such as pattern recognition, object segmentation, registration, and animation. This is because medial axis (or skeleton) ...
Euler Operators for Stratified Objects with Incomplete Boundaries
(The Eurographics Association, 2004)
Stratified objects such as those found in geometry-based systems (e.g. CAD systems and animation systems) can be stepwise constructed and manipulated through Euler operators. The operators proposed in this paper extend ...
Plumber: A Multi-scale Decomposition of 3D Shapes into Tubular Primitives and Bodies
(The Eurographics Association, 2004)
Plumber is a specialized shape classi cation method for detecting tubular features of 3D objects represented by a triangle mesh. The Plumber algorithm segments a surface into connected components that are either body parts ...
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 ...
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 ...
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 ...
Function-based haptic collaboration in X3D
(The Eurographics Association, 2009)
We seek to further expand X3D by augmenting it with functionbased definitions of geometry, appearance and tangible physical properties. Besides using alone, the introduced nodes can augment and enrich the standard X3D ...
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 ...