Klaus Hildebrandt

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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)
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)
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)
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)
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)
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)
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)
Foldios are foldable interactive objects with embedded input sensing and output capabilities. Foldios combine the advantages of folding for thin, lightweight and shape-changing objects with the strengths of thin-film printed electronics for embedded sensing and output. To enable designers and end-users to create highly custom interactive foldable objects,(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)
Cytoplasmic membrane fragments of Micrococcus luteus catalyze in vitro biosynthesis of teichuronic acid from uridine diphosphate D-glucose (UDP-glucose), uridine diphosphate N-acetyl-D-mannosaminuronic acid (UDP-ManNAcA), and uridine diphosphate N-acetyl-D-glucosamine. Membrane fragments solubilized with Thesit (dodecyl alcohol polyoxyethylene ether) can(More)