Solid Modeling
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Actual Morphing: A PhysicalBased Approach for Blending Two 2D/3D Shapes
(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 ... 
Image Based BioCAD Modeling and Its Applications to Biomedical and Tissue Engineering
(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 ... 
Connected and Manifold Sierpinski Polyhedra
(The Eurographics Association, 2004)In this paper, we present a subdivisioninspired scheme to construct generalized Sierpinski polyhedron. Unlike usual Sierpinski polyhedra construction schemes, which create either an infinite set of disconnected tetrahedra ... 
Handling Degeneracies in Exact Boundary Evaluation
(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 ... 
Euler Operators for Stratified Objects with Incomplete Boundaries
(The Eurographics Association, 2004)Stratified objects such as those found in geometrybased systems (e.g. CAD systems and animation systems) can be stepwise constructed and manipulated through Euler operators. The operators proposed in this paper extend ... 
Using Cayley Menger Determinants
(The Eurographics Association, 2004)We use CayleyMenger 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 ... 
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 Lblock. While the Lblock can be used to represent arbitrary volume data sets, it is particularly geared towards representing ... 
Plumber: A Multiscale 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 ... 
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 ... 
Shape Similarity Measurement Using Ray Distances for Mass Customization
(The Eurographics Association, 2004)Customtailored products are defined as products having various sizes and shapes tailored to meet the customer's different tastes or needs. Thus fabrication of customtailored products inherently involves inefficiency. To ... 
Physicsbased Modelling and Simulation of Functional Cloth for Virtual Prototyping Applications
(The Eurographics Association, 2004)A CADoriented system is proposed for the design of complexshaped functional cloth, provided with a physicsbased modelling core for simulation and virtual prototyping tasks. Textiles are physically modelled as particle ... 
3D Discrete Skeleton Generation by Wave Propagation on PROctree for Finite Element Mesh Sizing
(The Eurographics Association, 2004)This paper proposes a new algorithm to generate a disconnected, threedimensional (3D) skeleton and an application of such a skeleton to generate a finite element (FE) mesh sizing function of a solid. The mesh sizing ... 
Topological and Geometric Beautification of Reverse Engineered Geometric Models
(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 ... 
Reconstruction with 3D Geometric Bilateral Filter
(The Eurographics Association, 2004)In recent years, reverse engineering (RE) techniques have been developed for surface reconstruction from 3D scanned data. Typical sampling data, however, usually is large scale and contains unorganized points, thus leading ... 
Integrated FeatureBased 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 ... 
Tracing Surface Intersection with a Validated ODE System Solver
(The Eurographics Association, 2004)This paper presents a robust method for tracing intersection curve segments between continuous rational parametric surfaces, typically rational polynomial parametric surface patches. The tracing procedure is based on a ... 
Constraintbased Design of Bspline Surfaces from Curves
(The Eurographics Association, 2004)In this paper we describe the design of Bspline surface models by means of curves and tangency conditions. The intended application is the conceptual constraintdriven design of surfaces from handsketched curves. The ... 
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) ...