Browsing Solid Modeling 04 by Issue Date
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Frontmatter Solid Modeling 2014
(The Eurographics Association, 2004)Table of Contents and Preface, Committees, Cover 
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 ... 
Efficient and Robust Computation of an Approximated Medial Axis
(The Eurographics Association, 2004)The medial axis can be viewed as a compact representation for an arbitrary model; it is an essential geometric structure in many applications. A number of practical algorithms for its computation have been aimed at speeding ... 
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 ... 
From Computer Geometry to Manufacturing Algorithms
(The Eurographics Association, 2004)Abstractly, machining a shape is rather a simple task, that is, one is merely asked to subtractively metamorphose a superset of stock material into the ultimate shape of a given geometric model. In practice, however, there ... 
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 ... 
An Effective Condition for Sampling Surfaces with Guarantees
(The Eurographics Association, 2004)The notion of esample, 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 esample of a smooth surface S for a suf ciently ... 
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 ... 
MedialAxis Based Solid Representation
(The Eurographics Association, 2004)The medial axis (MA) of an object and medial axis transform (MAT) have many applications in solid modeling, computer graphics and other areas. Exact computation of MA is complex and various medial axis approximation ... 
Residual Iteration and Accurate Polynomial Evaluation for Shapeinterrogation Applications
(The Eurographics Association, 2004)Surface interrogation and intersection depend crucially on good rootfinding algorithms, which in turn depend on accurate polynomial evaluation. Conventional algorithms for evaluation typically encounter difficulties near ... 
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 ... 
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) ... 
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 ... 
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 ... 
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 ... 
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 ... 
Spline Approximation of General Volumetric Data
(The Eurographics Association, 2004)We present an efficient algorithm for approximating huge general volumetric data sets, i.e. the data is given over arbitrarily shaped volumes and consists of up to millions of samples. The method is based on cubic trivariate ...