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On Approximation of the Laplace-Beltrami Operator and the Willmore Energy of Surfaces
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
Discrete Laplace Beltrami operators on polyhedral surfaces play an important role for various applications in geometry processing and related areas like physical simulation or computer graphics. While discretizations of ...
A Hierarchical Grid Based Framework for Fast Collision Detection
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
We present a novel hierarchical grid based method for fast collision detection (CD) for deformable models on GPU architecture. A two-level grid is employed to accommodate the non-uniform distribution of practical scene ...
Stable Morse Decompositions for Piecewise Constant Vector Fields on Surfaces
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
Numerical simulations and experimental observations are inherently imprecise. Therefore, most vector fields of interest in scientific visualization are known only up to an error. In such cases, some topological features, ...
As-Killing-As-Possible Vector Fields for Planar Deformation
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
Cartoon animation, image warping, and several other tasks in two-dimensional computer graphics reduce to the formulation of a reasonable model for planar deformation. A deformation is a map from a given shape to a new one, ...
A Multiscale Approach to Optimal Transport
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
In this paper, we propose an improvement of an algorithm of Aurenhammer, Hoffmann and Aronov to find a least square matching between a probability density and finite set of sites with mass constraints, in the Euclidean ...
On the Shape of a Set of Points and Lines in the Plane
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
Detailed geometric models of the real world are in increasing demand. LiDAR data is appropriate to reconstruct urban models. In urban scenes, the individual surfaces can be reconstructed and connected to form the scene ...
A Condition Number for Non-Rigid Shape Matching
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
Despite the large amount of work devoted in recent years to the problem of non-rigid shape matching, practical methods that can successfully be used for arbitrary pairs of shapes remain elusive. In this paper, we study the ...