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Discrete Laplace operators: No free lunch
(The Eurographics Association, 2007)
Discrete Laplace operators are ubiquitous in applications spanning geometric modeling to simulation. For robustness and efficiency, many applications require discrete operators that retain key structural properties inherent ...
Smooth Feature Lines on Surface Meshes
(The Eurographics Association, 2005)
Feature lines are salient surface characteristics. Their definition involves third and fourth order surface derivatives. This often yields to unpleasantly rough and squiggly feature lines since third order derivatives are ...
Flexible Developable Surfaces
(The Eurographics Association and Blackwell Publishing Ltd., 2012)
We introduce a discrete paradigm for developable surface modeling. Unlike previous attempts at interactive developable surface modeling, our system is able to enforce exact developability at every step, ensuring that users ...
Splines in the Space of Shells
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
Cubic splines in Euclidean space minimize the mean squared acceleration among all curves interpolating a given set of data points. We extend this observation to the Riemannian manifold of discrete shells in which the ...
Time-Discrete Geodesics in the Space of Shells
(The Eurographics Association and Blackwell Publishing Ltd., 2012)
Building on concepts from continuum mechanics, we offer a computational model for geodesics in the space of thin shells, with a metric that reflects viscous dissipation required to physically deform a thin shell. Different ...
A Quadratic Bending Model for Inextensible Surfaces
(The Eurographics Association, 2006)
Relating the intrinsic Laplacian to the mean curvature normal, we arrive at a model for bending of inextensible surfaces. Due to its constant Hessian, our isometric bending model reduces cloth simulation times up to three-fold.
Exploring the Geometry of the Space of Shells
(The Eurographics Association and John Wiley and Sons Ltd., 2014)
We prove both in the smooth and discrete setting that the Hessian of an elastic deformation energy results in a proper Riemannian metric on the space of shells (modulo rigid body motions). Based on this foundation we develop ...
Functional Fluids on Surfaces
(The Eurographics Association and John Wiley and Sons Ltd., 2014)
Fluid simulation plays a key role in various domains of science including computer graphics. While most existing work addresses fluids on bounded Euclidean domains, we consider the problem of simulating the behavior of an ...