SGP15: Eurographics Symposium on Geometry Processing (CGF 34-5)
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A One-dimensional Homologically Persistent Skeleton of an Unstructured Point Cloud in any Metric Space
(The Eurographics Association and John Wiley & Sons Ltd., 2015)Real data are often given as a noisy unstructured point cloud, which is hard to visualize. The important problem is to represent topological structures hidden in a cloud by using skeletons with cycles. All past skeletonization ... -
Homotopic Morphing of Planar Curves
(The Eurographics Association and John Wiley & Sons Ltd., 2015)This paper presents an algorithm for morphing between closed, planar piecewise-C1 curves. The morph is guaranteed to be a regular homotopy, meaning that pinching will not occur in the intermediate curves. The algorithm is ... -
Can Bi-cubic Surfaces be Class A?
(The Eurographics Association and John Wiley & Sons Ltd., 2015)Class A surface' is a term in the automotive design industry, describing spline surfaces with aesthetic, non- oscillating highlight lines. Tensor-product B-splines of degree bi-3 (bicubic) are routinely used to generate ... -
Perfect Matching Quad Layouts for Manifold Meshes
(The Eurographics Association and John Wiley & Sons Ltd., 2015)This paper introduces a new approach to automatically generate pure quadrilateral patch layouts on manifold meshes. The algorithm is based on a careful construction of a singularity graph of a given input frame field or a ... -
Perfect Laplacians for Polygon Meshes
(The Eurographics Association and John Wiley & Sons Ltd., 2015)A discrete Laplace-Beltrami operator is called perfect if it possesses all the important properties of its smooth counterpart. It is known which triangle meshes admit perfect Laplace operators and how to fix any other mesh ... -
Unconditionally Stable Shock Filters for Image and Geometry Processing
(The Eurographics Association and John Wiley & Sons Ltd., 2015)This work revisits the Shock Filters of Osher and Rudin [OR90] and shows how the proposed filtering process can be interpreted as the advection of image values along flow-lines. Using this interpretation, we obtain an ... -
An Image Degradation Model for Depth-augmented Image Editing
(The Eurographics Association and John Wiley & Sons Ltd., 2015)Images remain the most popular medium to capture our surroundings. Although significant advances have been made in developing image editing tools, the key challenge is to intelligently account for missing depth information. ... -
Dynamic SfM: Detecting Scene Changes from Image Pairs
(The Eurographics Association and John Wiley & Sons Ltd., 2015)Detecting changes in scenes is important in many scene understanding tasks. In this paper, we pursue this goal simply from a pair of image recordings. Specifically, our goal is to infer what the objects are, how they are ... -
Quaternion Julia Set Shape Optimization
(The Eurographics Association and John Wiley & Sons Ltd., 2015)We present the first 3D algorithm capable of answering the question: what would a Mandelbrot-like set in the shape of a bunny look like? More concretely, can we find an iterated quaternion rational map whose potential field ... -
Fast and Exact (Poisson) Solvers on Symmetric Geometries
(The Eurographics Association and John Wiley & Sons Ltd., 2015)In computer graphics, numerous geometry processing applications reduce to the solution of a Poisson equation. When considering geometries with symmetry, a natural question to consider is whether and how the symmetry can ... -
LeSSS: Learned Shared Semantic Spaces for Relating Multi-Modal Representations of 3D Shapes
(The Eurographics Association and John Wiley & Sons Ltd., 2015)In this paper, we propose a new method for structuring multi-modal representations of shapes according to semantic relations. We learn a metric that links semantically similar objects represented in different modalities. ... -
Continuous Matching via Vector Field Flow
(The Eurographics Association and John Wiley & Sons Ltd., 2015)We present a new method for non-rigid shape matching designed to enforce continuity of the resulting correspondence. Our method is based on the recently proposed functional map representation, which allows efficient ... -
Tight Relaxation of Quadratic Matching
(The Eurographics Association and John Wiley & Sons Ltd., 2015)Establishing point correspondences between shapes is extremely challenging as it involves both finding sets of semantically persistent feature points, as well as their combinatorial matching.We focus on the latter and ... -
Robust Articulated-ICP for Real-Time Hand Tracking
(The Eurographics Association and John Wiley & Sons Ltd., 2015)We present a robust method for capturing articulated hand motions in realtime using a single depth camera. Our system is based on a realtime registration process that accurately reconstructs hand poses by fitting a 3D ... -
Sparse Non-rigid Registration of 3D Shapes
(The Eurographics Association and John Wiley & Sons Ltd., 2015)Non-rigid registration of 3D shapes is an essential task of increasing importance as commodity depth sensors become more widely available for scanning dynamic scenes. Non-rigid registration is much more challenging than ... -
Hierarchical Multiview Rigid Registration
(The Eurographics Association and John Wiley & Sons Ltd., 2015)Registration is a key step in the 3D reconstruction of real-world objects. In this paper, we propose a hierarchical method for the rigid registration of multiple views. The multiview registration problem is solved via ... -
Texture Mapping Real-World Objects with Hydrographics
(The Eurographics Association and John Wiley & Sons Ltd., 2015)In the digital world, assigning arbitrary colors to an object is a simple operation thanks to texture mapping. However, in the real world, the same basic function of applying colors onto an object is far from trivial. One ... -
Reforming Shapes for Material-aware Fabrication
(The Eurographics Association and John Wiley & Sons Ltd., 2015)As humans, we regularly associate shape of an object with its built material. In the context of geometric modeling, however, this inter-relation between form and material is rarely explored. In this work, we propose a novel ... -
Example Based Repetitive Structure Synthesis
(The Eurographics Association and John Wiley & Sons Ltd., 2015)We present an example based geometry synthesis approach for generating general repetitive structures. Our model is based on a meshless representation, unifying and extending previous synthesis methods. Structures in the ... -
Analysis and Synthesis of 3D Shape Families via Deep-learned Generative Models of Surfaces
(The Eurographics Association and John Wiley & Sons Ltd., 2015)We present a method for joint analysis and synthesis of geometrically diverse 3D shape families. Our method first learns part-based templates such that an optimal set of fuzzy point and part correspondences is computed ...
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