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Guest Editorial
(The Eurographics Association and Blackwell Publishing Ltd, 2010)
Trivial Connections on Discrete Surfaces
(2010)
This paper presents a straightforward algorithm for constructing connections on discrete surfaces that are as smooth as possible everywhere but on a set of isolated singularities with given index. We compute these connections ...
One Point Isometric Matching with the Heat Kernel
(2010)
A common operation in many geometry processing algorithms consists of finding correspondences between pairs of shapes by finding structure-preserving maps between them. A particularly useful case of such maps is isometries, ...
Barycentric Coordinates on Surfaces
(2010)
This paper introduces a method for defining and efficiently computing barycentric coordinates with respect to polygons on general surfaces. Our construction is geared towards injective polygons (polygons that can be enclosed ...
Moebius Transformations For Global Intrinsic Symmetry Analysis
(2010)
The goal of our work is to develop an algorithm for automatic and robust detection of global intrinsic symmetries in 3D surface meshes. Our approach is based on two core observations. First, symmetry invariant point sets ...
Multi-scale Geometric Modeling of Ambiguous Shapes with Toleranced Balls and Compoundly Weighted a-shapes
(2010)
Dealing with ambiguous data is a challenge in Science in general and geometry processing in particular. One route of choice to extract information from such data consists of replacing the ambiguous input by a continuum, ...
Signing the Unsigned: Robust Surface Reconstruction from Raw Pointsets
(2010)
We propose a modular framework for robust 3D reconstruction from unorganized, unoriented, noisy, and outlierridden geometric data. We gain robustness and scalability over previous methods through an unsigned distance ...
Localized Delaunay Refinement for Sampling and Meshing
(2010)
The technique of Delaunay renement has been recognized as a versatile tool to generate Delaunay meshes of a variety of geometries. Despite its usefulness, it suffers from one lacuna that limits its application. It does not ...
Closed-form Blending of Local Symmetries
(2010)
We present a closed-form solution for the symmetrization problem, solving for the optimal deformation that reconciles a set of local bilateral symmetries. Given as input a set of point-pairs which should be symmetric, we ...
Persistent Heat Signature for Pose-oblivious Matching of Incomplete Models
(2010)
Although understanding of shape features in the context of shape matching and retrieval has made considerable progress in recent years, the case for partial and incomplete models in presence of pose variations still begs ...