SGP07: Eurographics Symposium on Geometry Processing
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Delaunay Mesh Construction
(The Eurographics Association, 2007)We present algorithms to produce Delaunay meshes from arbitrary triangle meshes by edge flipping and geometrypreserving refinement and prove their correctness. In particular we show that edge flipping serves to reduce mesh ... 
Fast Normal Vector Compression with Bounded Error
(The Eurographics Association, 2007)We present two methods for lossy compression of normal vectors through quantization using base polyhedra. The first revisits subdivisionbased quantization. The second uses fixedprecision barycentric coordinates. For ... 
Surface Reconstruction using Local Shape Priors
(The Eurographics Association, 2007)We present an examplebased surface reconstruction method for scanned point sets. Our approach uses a database of local shape priors built from a set of given context models that are chosen specifically to match a specific ... 
Ridge Based Curve and Surface Reconstruction
(The Eurographics Association, 2007)This paper presents a new method for reconstructing curves and surfaces from unstructured point clouds, allowing for noise in the data as well as inhomogeneous distribution of the point set. It is based on the observation ... 
Bayesian Surface Reconstruction via Iterative Scan Alignment to an Optimized Prototype
(The Eurographics Association, 2007)This paper introduces a novel technique for joint surface reconstruction and registration. Given a set of roughly aligned noisy point clouds, it outputs a noisefree and watertight solid model. The basic idea of the new ... 
LaplaceBeltrami Eigenfunctions for Deformation Invariant Shape Representation
(The Eurographics Association, 2007)A deformation invariant representation of surfaces, the GPS embedding, is introduced using the eigenvalues and eigenfunctions of the LaplaceBeltrami differential operator. Notably, since the definition of the GPS embedding ... 
SymmetryEnhanced Remeshing of Surfaces
(The Eurographics Association, 2007)While existing methods for 3D surface approximation use local geometric properties, we propose that more intuitive results can be obtained by considering global shape properties such as symmetry. We modify the Variational ... 
Constraintbased Fairing of Surface Meshes
(The Eurographics Association, 2007)We propose a constraintbased method for the fairing of surface meshes. The main feature of our approach is that the resulting smoothed surface remains within a prescribed distance to the input mesh. For example, specifying ... 
Generalized Surface Flows for Mesh Processing
(The Eurographics Association, 2007)Geometric flows are ubiquitous in mesh processing. Curve and surface evolutions based on functional minimization have been used in the context of surface diffusion, denoising, shape optimization, minimal surfaces, and ... 
Shape Optimization Using Reflection Lines
(The Eurographics Association, 2007)Many common objects have highly reflective metallic or painted finishes. Their appearance is primarily defined by the distortion the curved shape of the surface introduces in the reflections of surrounding objects. Reflection ... 
Dynamic Geometry Registration
(The Eurographics Association, 2007)We propose an algorithm that performs registration of large sets of unstructured point clouds of moving and deforming objects without computing correspondences. Given as input a set of frames with dense spatial and temporal ... 
Developable Surfaces from Arbitrary Sketched Boundaries
(The Eurographics Association, 2007)We present a method for extracting a hierarchical, rigid skeleton from a set of example poses. We then use this skeleton to not only reproduce the example poses, but create new deformations in the same style as the examples. ... 
ExampleBased Skeleton Extraction
(The Eurographics Association, 2007)We present a method for extracting a hierarchical, rigid skeleton from a set of example poses. We then use this skeleton to not only reproduce the example poses, but create new deformations in the same style as the examples. ... 
Unconstrained Isosurface Extraction on Arbitrary Octrees
(The Eurographics Association, 2007)This paper presents a novel algorithm for generating a watertight levelset from an octree. We show that the level set can be efficiently extracted regardless of the topology of the octree or the values assigned to the ... 
Linear Angle Based Parameterization
(The Eurographics Association, 2007)In the field of mesh parameterization, the impact of angular and boundary distortion on parameterization quality have brought forward the need for robust and efficient free boundary angle preserving methods. One of the ... 
GPUassisted Positive Mean Value Coordinates for Mesh Deformations
(The Eurographics Association, 2007)In this paper we introduce positive mean value coordinates (PMVC) for mesh deformation. Following the observations of Joshi et al. [JMD*07] we show the advantage of having positive coordinates. The control points of the ... 
Triangulations with Locally Optimal Steiner Points
(The Eurographics Association, 2007)We present two new Delaunay refinement algorithms, the second an extension of the first. For a given input domain (a set of points in the plane or a planar straight line graph), and a threshold angle a, the Delaunay ... 
AsRigidAsPossible Surface Modeling
(The Eurographics Association, 2007)Modeling tasks, such as surface deformation and editing, can be analyzed by observing the local behavior of the surface. We argue that defining a modeling operation by asking for rigidity of the local transformations is ... 
Elastic Secondary Deformations by Vector Field Integration
(The Eurographics Association, 2007)We present an approach for elastic secondary deformations of shapes described as triangular meshes. The deformations are steered by the simulation of a low number of simple massspring sets. The result of this simulation ... 
Shape Reconstruction from Unorganized Crosssections
(The Eurographics Association, 2007)In this paper, we consider the problem of reconstructing a shape from unorganized crosssections. The main motivation for this problem comes from medical imaging applications where crosssections of human organs are obtained ...