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We provide conditions for convergence of polyhedral surfaces and their discrete geometric properties to smooth surfaces embedded in Euclidean 3-space. Under the assumption of convergence of surfaces in Hausdorff distance, we show that convergence of the following properties are equivalent: surface normals, surface area, metric tensors, and Laplace-Beltrami(More)
A new method for noise removal of arbitrary surfaces meshes is presented which focuses on the preservation and sharpening of non-linear geometric features such as curved surface regions and feature lines. Our method uses a prescribed mean curvature flow (PMC) for simplicial surfaces which is based on three new contributions: 1. the definition and efficient(More)
Many efficient computational methods for physical simulation are based on model reduction. We propose new model reduction techniques for the <i>approximation of reduced forces</i> and for the <i>construction of reduced shape spaces of deformable objects</i> that accelerate the construction of a reduced dynamical system, increase the accuracy of the(More)
We examined cognitive predictors of coping with a negative life event. Women undergoing first-trimester abortion were, before the procedure, surveyed regarding their attributions for their pregnancy, expectations for coping, the meaningfulness of the pregnancy, and the degree to which the pregnancy was intended. After the abortion and again at a follow-up(More)
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 the weak Laplace–Beltrami operator are well-studied, less is known about the strong form. We present a principle for constructing strongly(More)
We present a discretization of Koiter's model of elastic thin shells based on a finite element that employs limit surfaces of Catmull–Clark's subdivision scheme. The discretization can directly be applied to control grids of Catmull–Clark subdivision surfaces, and, therefore, integrates modeling of Catmull–Clark subdivision surfaces with analysis and(More)
To further characterize the effects of marginal zinc deficiency on the development of the immune system of the suckling A/J mouse, dams were fed marginal (1.6 micrograms Zn/g), intake restricted (30 micrograms Zn/g) or adequate (30 micrograms Zn/g) levels of dietary zinc days 5-17 postpartum. Marginal levels of zinc had little effect on the body weight of(More)
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 highly sensitive against unwanted surface noise. The present work proposes two novel concepts for a more stable algorithm producing(More)
We propose a framework for deformation-based surface modeling that is interactive, robust, and intuitive to use. The deformations are described by a nonlinear optimization problem that models static states of elastic shapes under external forces which implement the user input. Interactive response is achieved by a combination of model reduction, a robust(More)
Creating motions of objects or characters that are physically plausible and follow an animator's intent is a key task in computer animation. The <i>spacetime constraints</i> paradigm is a valuable approach to this problem, but it suffers from high computational costs. Based on spacetime constraints, we propose a framework for controlling the motion of(More)