Solid Modeling 04
Invited Talk 1
Residual Iteration and Accurate Polynomial Evaluation for Shape-interrogation Applications
Medial Axis Representations
Efficient and Robust Computation of an Approximated Medial Axis
Medial Axis Extraction and Shape Manipulation of Solid Objects Using Parabolic PDEs
Medial-Axis Based Solid Representation
Invited Talk 2
From Computer Geometry to Manufacturing Algorithms
Geological and Volumetric Representations
Multiresolution Heterogeneous Solid Modeling and Visualization Using Trivariate Simplex Splines
Automatic Building of Structured Geological Models
Spline Approximation of General Volumetric Data
Surface Parametrization and Approximation
Planar Parameterization for Closed Manifolds Genus-1 Meshes
A Condition for Isotopic Approximation
An Effective Condition for Sampling Surfaces with Guarantees
Optimization Techniques for Approximation with Subdivision Surfaces
A Framework for Multiresolution Adaptive Solid Objects
Tolerancing and Collision Detection
Tolerance Envelopes of Planar Parametric Part Models
Fast Continuous Collision Detection for Articulated Models
Simplicial Geometric Representations
B-rep SE: Simplicially Enhanced Boundary Representation
Update Operations on 3D Simplicial Decompositions of Non-manifold Objects
Invited Talk 3
Efficient Processing of 3D Scanned Models
Engineering Drawings and CAD Data
Integrated Feature-Based and Geometric CAD Data Exchange
Making the Most of Using Depth Reasoning to Label Line Drawings of Engineering Objects
Boolean Operations and Design
Progressive Dimension-Independent Boolean Operations
Constraint-based Design of B-spline Surfaces from Curves
Reconstruction with 3D Geometric Bilateral Filter
Developability-preserved Free-form Deformation of Assembled Patches
Implicit Curve and Surface Design Using Smooth Unit Step Functions
Stability and Homotopy of a Subset of the Medial Axis
Tracing Surface Intersection with a Validated ODE System Solver
Topological and Geometric Beautification of Reverse Engineered Geometric Models
Connected and Manifold Sierpinski Polyhedra
Physics-based Modelling and Simulation of Functional Cloth for Virtual Prototyping Applications
Image Based Bio-CAD Modeling and Its Applications to Biomedical and Tissue Engineering
Shape Similarity Measurement Using Ray Distances for Mass Customization
Using Cayley Menger Determinants
History Based Reactive Objects for Immersive CAD
Shortest Circuits with Given Homotopy in a Constellation
Contour Interpolation with Bounded Dihedral Angles
Actual Morphing: A Physical-Based Approach for Blending Two 2D/3D Shapes
Euler Operators for Stratified Objects with Incomplete Boundaries
Handling Degeneracies in Exact Boundary Evaluation
3D Discrete Skeleton Generation by Wave Propagation on PR-Octree for Finite Element Mesh Sizing
Compression, Segmentation, and Modeling of Filamentary Volumetric Data
Plumber: A Multi-scale Decomposition of 3D Shapes into Tubular Primitives and Bodies
(The Eurographics Association, 2004)This paper proposes a new algorithm to generate a disconnected, three-dimensional (3D) skeleton and an application of such a skeleton to generate a finite element (FE) mesh sizing function of a solid. The mesh sizing ...
(The Eurographics Association, 2004)In this paper, we present a subdivision-inspired scheme to construct generalized Sierpinski polyhedron. Unlike usual Sierpinski polyhedra construction schemes, which create either an infinite set of disconnected tetrahedra ...
(The Eurographics Association, 2004)CAD has been traditionally used to assist in engineering design and modeling for representation, analysis and manufacturing. Advances in Information Technology and in Biomedicine have created new uses for CAD with many ...
(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 ...
(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 ...
(The Eurographics Association, 2004)When two topologically identical shapes are blended, various possible transformation paths exist from the source shape to the target shape. Which one is the most plausible? Here we propose that the transformation process ...
(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 ...
(The Eurographics Association, 2004)We present a method for dealing with degenerate situations in an exact boundary evaluation system. We describe the possible degeneracies that can arise and how to detect them. We then present a numeric perturbation method ...
(The Eurographics Association, 2004)A CAD-oriented system is proposed for the design of complex-shaped functional cloth, provided with a physics-based modelling core for simulation and virtual prototyping tasks. Textiles are physically modelled as particle ...
(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 ...
(The Eurographics Association, 2004)Custom-tailored products are defined as products having various sizes and shapes tailored to meet the customer's different tastes or needs. Thus fabrication of custom-tailored products inherently involves inefficiency. To ...
(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 ...
(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 ...
(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 ...
(The Eurographics Association, 2004)Boundary representation models reverse engineered from 3D range data suffer from various inaccuracies caused by noise in the measured data and the model building software. Beauti cation aims to improve such models in a ...
(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 ...
(The Eurographics Association, 2004)Automatic creation of B-rep models of engineering objects from freehand sketches would benefit designers. A subgoal is to take a single line drawing (with hidden lines removed), and from it deduce an initial 3D geometric ...
(The Eurographics Association, 2004)Boundary representation (B-rep) is a popular representation scheme for mechanical objects due to its ability to accurately represent piecewise smooth surfaces bounding solids. However, non-trivial topology and geometry of ...
(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 ...
(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 ...