Browsing SGP05: Eurographics Symposium on Geometry Processing by Title

Now showing items 1-20 of 25

    • An Adaptive MLS Surface for Reconstruction with Guarantees 

      Dey, Tamal K.; Sun, Jian (The Eurographics Association, 2005)
      Recent work have shown that moving least squares (MLS) surfaces can be used effectively to reconstruct surfaces from possibly noisy point cloud data. Several variants of MLS surfaces have been suggested, some of which have ...

    • Atomic Volumes for Mesh Completion 

      Podolak, Joshua; Rusinkiewicz, Szymon (The Eurographics Association, 2005)
      The increased use of scanned geometry for applications in computer graphics and 3D hardcopy output has highlighted the need for general, robust algorithms for reconstruction of watertight 3D models given partial polygonal ...

    • Data Structures for Simplicial Complexes: An Analysis And A Comparison 

      Floriani, Leila De; Hui, Annie (The Eurographics Association, 2005)
      In this paper, we review, analyze and compare representations for simplicial complexes. We classify such representations, based on the dimension of the complexes they can encode, into dimension-independent structures, and ...

    • Discrete Willmore Flow 

      Bobenko, Alexander I.; Schröder, Peter (The Eurographics Association, 2005)
      The Willmore energy of a surface, R(H2 -K)dA, as a function of mean and Gaussian curvature, captures the deviation of a surface from (local) sphericity. As such this energy and its associated gradient flow play an important ...

    • Example-Based 3D Scan Completion 

      Pauly, Mark; Mitra, Niloy J.; Giesen, Joachim; Gross, Markus; Guibas, Leonidas J. (The Eurographics Association, 2005)
      We present a novel approach for obtaining a complete and consistent 3D model representation from incomplete surface scans, using a database of 3D shapes to provide geometric priors for regions of missing data. Our method ...

    • Extraction and Simplification of Iso-surfaces in Tandem 

      Attali, Dominique; Cohen-Steiner, David; Edelsbrunner, Herbert (The Eurographics Association, 2005)
      The tandem algorithm combines the marching cube algorithm for surface extraction and the edge contraction algorithm for surface simplification in lock-step to avoid the costly intermediate step of storing the entire extracted ...

    • A Geometric Construction of Coordinates for Convex Polyhedra using Polar Duals 

      Ju, Tao; Schaefer, Scott; Warren, Joe; Desbrun, Mathieu (The Eurographics Association, 2005)
      A fundamental problem in geometry processing is that of expressing a point inside a convex polyhedron as a combination of the vertices of the polyhedron. Instances of this problem arise often in mesh parameterization and ...

    • Global Registration of Multiple 3D Point Sets via Optimization-on-a-Manifold 

      Krishnan, Shankar; Lee, Pei Yean; Moore, John B.; Venkatasubramanian, Suresh (The Eurographics Association, 2005)
      We propose a novel algorithm to register multiple 3D point sets within a common reference frame using a manifold optimization approach. The point sets are obtained with multiple laser scanners or a mobile scanner. Unlike ...

    • An Image Processing Approach to Surface Matching 

      Litke, Nathan; Droske, Marc; Rumpf, Martin; Schröder, Peter (The Eurographics Association, 2005)
      Establishing a correspondence between two surfaces is a basic ingredient in many geometry processing applications. Existing approaches, which attempt to match two meshes directly in 3D, can be cumbersome to implement and ...

    • Modeling with Simplicial Diffeomorphisms 

      Velho, Luiz (The Eurographics Association, 2005)
      In this paper we introduce a new framework for geometric modeling that combines implicit and parametric surface representations with volumetric warpings. The framework is based on dynamic, adaptive simplicial decompositions ...

    • Multiscale Features for Approximate Alignment of Point-based Surfaces 

      Li, Xinju; Guskov, Igor (The Eurographics Association, 2005)
      We introduce a novel method for approximate alignment of point-based surfaces. Our approach is based on detecting a set of salient feature points using a scale-space representation. For each feature point we compute a ...

    • Non-conforming Surface Rrepresentations 

      Alexa, Marc (The Eurographics Association, 2005)
      Surface geometry is commonly represented by a collection of primitives. Conforming representations consist of primitives meeting at their boundaries (e.g., in a triangle mesh two triangles are incident upon an edge). Without ...

    • Progressive Buffers: View-dependent Geometry and Texture for LOD Rendering 

      Sander, Pedro V.; Mitchell, Jason L. (The Eurographics Association, 2005)
      We introduce a view-dependent level of detail rendering system designed with modern GPU architectures in mind. Our approach keeps the data in static buffers and geomorphs between different LODs using per-vertex weights for ...

    • Reconstruction of Solid Models from Oriented Point Sets 

      Kazhdan, Michael (The Eurographics Association, 2005)
      In this paper we present a novel approach to the surface reconstruction problem that takes as its input an oriented point set and returns a solid, water-tight model. The idea of our approach is to use Stokes' Theorem to ...

    • Robust Global Registration 

      Gelfand, Natasha; Mitra, Niloy J.; Guibas, Leonidas J.; Pottmann, Helmut (The Eurographics Association, 2005)
      We present an algorithm for the automatic alignment of two 3D shapes (data and model), without any assumptions about their initial positions. The algorithm computes for each surface point a descriptor based on local geometry ...

    • Setting the Boundary Free: A Composite Approach to Surface Parameterization 

      Zayer, Rhaleb; Rössl, Christian; Seidel, Hans-Peter (The Eurographics Association, 2005)
      In the last decade, surface mesh parameterization has emerged as a standard technique in computer graphics. The ever increasing need for processing large and highly detailed data sets fosters the development of efficient ...

    • Smooth Feature Lines on Surface Meshes 

      Hildebandt, Klaus; Polthier, Konrad; Wardetzky, Max (The Eurographics Association, 2005)
      Feature lines are salient surface characteristics. Their definition involves third and fourth order surface derivatives. This often yields to unpleasantly rough and squiggly feature lines since third order derivatives are ...

    • Sparse Low-degree Implicits with Applications to High Quality Rendering, Feature Extraction, and Smoothing 

      Ohtake, Yutaka; Belyaev, Alexander; Alexa, Marc (The Eurographics Association, 2005)
      We propose a new surface representation delivering an accurate approximation to a set of points scattered over a smooth surface by Sparse Low-degree IMplicits (SLIM). The SLIM surface representation consists of a sparse ...

    • Streaming Compression of Triangle Meshes 

      Isenburg, Martin; Lindstrom, Peter; Snoeyink, Jack (The Eurographics Association, 2005)
      Current mesh compression schemes encode triangles and vertices in an order derived from systematically traversing the connectivity graph. These schemes struggle with gigabyte-sized mesh input where the construction and the ...

    • Subdivision Schemes and Attractors 

      Schaefer, Scott; Levin, David; Goldman, Ron (The Eurographics Association, 2005)
      Subdivision schemes generate self-similar curves and surfaces. Therefore there is a close connection between curves and surfaces generated by subdivision algorithms and self-similar fractals generated by Iterated Function ...