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Frontmatter
(The Eurographics Association and Blackwell Publishing Ltd, 2009)
Fast, Exact, Linear Booleans
(The Eurographics Association and Blackwell Publishing Ltd, 2009)
We present a new system for robustly performing Boolean operations on linear, 3D polyhedra. Our system is exact, meaning that all internal numeric predicates are exactly decided in the sense of exact geometric computation. ...
A Concise and Provably Informative Multi-Scale Signature Based on Heat Diffusion
(The Eurographics Association and Blackwell Publishing Ltd, 2009)
We propose a novel point signature based on the properties of the heat diffusion process on a shape. Our signature, called the Heat Kernel Signature (or HKS), is obtained by restricting the well-known heat kernel to the ...
Diamond Hierarchies of Arbitrary Dimension
(The Eurographics Association and Blackwell Publishing Ltd, 2009)
Nested simplicial meshes generated by the simplicial bisection decomposition proposed by Maubach [Mau95] have been widely used in 2D and 3D as multi-resolution models of terrains and three-dimensional scalar fields, They ...
Energy-Based Image Deformation
(The Eurographics Association and Blackwell Publishing Ltd, 2009)
We present a general approach to shape deformation based on energy minimization, and applications of this approach to the problems of image resizing and 2D shape deformation. Our deformation energy generalizes that found ...
Progressive Lossless Mesh Compression Via Incremental Parametric Refinement
(The Eurographics Association and Blackwell Publishing Ltd, 2009)
In this paper, we propose a novel progressive lossless mesh compression algorithm based on Incremental Parametric Refinement, where the connectivity is uncontrolled in a first step, yielding visually pleasing meshes at ...
Interior Distance Using Barycentric Coordinates
(The Eurographics Association and Blackwell Publishing Ltd, 2009)
This paper introduces a framework for defining a shape-aware distance measure between any two points in the interior of a surface mesh. Our framework is based on embedding the surface mesh into a high-dimensional space in ...
Random Accessible Hierarchical Mesh Compression for Interactive Visualization
(The Eurographics Association and Blackwell Publishing Ltd, 2009)
This paper presents a novel algorithm for hierarchical random accessible mesh decompression. Our approach progressively decompresses the requested parts of a mesh without decoding less interesting parts. Previous approaches ...
Estimating the Laplace-Beltrami Operator by Restricting 3D Functions
(The Eurographics Association and Blackwell Publishing Ltd, 2009)
We present a novel approach for computing and solving the Poisson equation over the surface of a mesh. As in previous approaches, we define the Laplace-Beltrami operator by considering the derivatives of functions defined ...
Separatrix Persistence: Extraction of Salient Edges on Surfaces Using Topological Methods
(The Eurographics Association and Blackwell Publishing Ltd, 2009)
Salient edges are perceptually prominent features of a surface. Most previous extraction schemes utilize the notion of ridges and valleys for their detection, thereby requiring curvature derivatives which are rather sensitive ...