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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)
Male gerbils were bred and reared grouped under enriched semi-natural environmental conditions. The objective of the present study was to examine the influence of an acute treatment with the neuroleptic haloperidol on adult granule cell neurogenesis in the hippocampus. For that purpose, at the age of postnatal day 90 adult animals received 4 challenges of(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)
The objective of the present study was to examine both naturally occurring degrading events in axon terminals of the dentate gyrus and granule cell proliferation in the dentate gyrus of gerbils (Meriones unguiculatus) throughout postnatal life. For that purpose, (1) a selective silver staining technique was applied to analyze neuronal lysosome accumulation(More)
The objective of the present study was to examine whether acute treatment with the recreational drug methamphetamine influences adult granule cell proliferation in the dentate gyrus of the hippocampus. For that purpose, at the age of postnatal day 90 adult male gerbils (Meriones unguiculatus) received a single dose of either methamphetamine (25 mg/kg; i.p.)(More)
A single non-invasive dose of methamphetamine (50 mg/kg; i.p.) was administered to neonatal male gerbils (Meriones unguiculatus) aged 14 days. The first objective of the present study was to examine whether this early drug challenge, which has been shown to induce suppressive postnatal maturation of prefrontal dopamine (DA) innervation (Dawirs et al.,(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)
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)