Browsing Solid Modeling 04 by Subject "Curve"
Now showing items 1-12 of 12
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Compression, Segmentation, and Modeling of Filamentary Volumetric Data
(The Eurographics Association, 2004)We present a data structure for the representation of filamentary volumetric data, called the L-block. While the L-block can be used to represent arbitrary volume data sets, it is particularly geared towards representing ... -
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 ... -
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 ... -
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 ... -
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 ... -
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 ... -
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 ... -
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) ... -
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 ... -
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 ... -
Tolerance Envelopes of Planar Parametric Part Models
(The Eurographics Association, 2004)We present a framework for the systematic study of parametric variation in planar mechanical parts and for ef ciently computing approximations of their tolerance envelopes. Part features are speci ed by explicit functions ... -
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 ...