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Soft Folding
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
We introduce soft folding, a new interactive method for designing and exploring thin-plate forms. A user specifies sharp and soft folds as two-dimensional(2D) curves on a flat sheet, along with the fold magnitude and ...
Non-Oriented MLS Gradient Fields
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
We introduce a new approach for defining continuous non-oriented gradient fields from discrete inputs, a fundamental stage for a variety of computer graphics applications such as surface or curve reconstruction, and image ...
Symmetry in 3D Geometry: Extraction and Applications
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
The concept of symmetry has received significant attention in computer graphics and computer vision research in recent years. Numerous methods have been proposed to find, extract, encode and exploit geometric symmetries ...
Quad‐Mesh Generation and Processing: A Survey
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
Triangle meshes have been nearly ubiquitous in computer graphics, and a large body of data structures and geometry processing algorithms based on them has been developed in the literature. At the same time, quadrilateral ...
As-Rigid-As-Possible Distance Field Metamorphosis
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
Widely used for morphing between objects with arbitrary topology, distance field interpolation (DFI) handles topological transition naturally without the need for correspondence or remeshing, unlike surface-based interpolation ...
An Algorithm for Random Fractal Filling of Space
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
Computational experiments with a simple algorithm show that it is possible to fill any spatial region with a random fractalization of any shape, with a continuous range of pre‐specified fractal dimensions D. The algorithm ...
Global Selection of Stream Surfaces
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
Stream surfaces are well-known and widely-used structures for 3D flow visualization. A single surface can be sufficient to represent important global flow characteristics. Unfortunately, due to the huge space of possible ...
Exploring Local Modifications for Constrained Meshes
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
Mesh editing under constraints is a challenging task with numerous applications in geometric modeling, industrial design, and architectural form finding. Recent methods support constraint-based exploration of meshes with ...
Fast and Robust Approximation of Smallest Enclosing Balls in Arbitrary Dimensions
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
In this paper, an algorithm is introduced that computes an arbitrarily fine approximation of the smallest enclosing ball of a point set in any dimension. This operation is important in, for example, classification, clustering, ...
Sparse Iterative Closest Point
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
Rigid registration of two geometric data sets is essential in many applications, including robot navigation, surface reconstruction, and shape matching. Most commonly, variants of the Iterative Closest Point (ICP) algorithm ...