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Sabbatical semester report
(2020)
Sabbatical semester report
(2015)
Research Report
(2024)
In my research sabbatical I was working on three different topics, namely orthogonal polynomials in geometric modeling, re-parametrized univariate subdivision curves, and reconstruction of 3d-fish-models and other zoological artifacts. In the subsequent Sections, I will describe my particular activity in these different fields. The sections are meant to present an overview of my research activities, leaving out the technical details.
Section 1 is on orthogonal polynomials and other related generating systems for functions systems of smooth function.
In Section 2, I will discuss the application of various re-parametrization schemes for interpolatory subdivision algorithms for the generation of space curves.
The next Section 3 is concerned with my research at the University of Queensland, Brisbane, in collaboration with Dr. Ulrike Siebeck from the School of Biomedical Sciences on fish behavior and reconstruction of 3d-fish models in particular.
In the last Section 4, I will describe what effects this research will have on in my subsequent teaching at the University of Applied Science Konstanz (HTWG).
Earthquake response spectra as defined by Eurocode 8 (German NAD) are restricted to soils with shear wave velocities greater than 150 m/s. For soft soil layers e.g. of clay underlain by bedrock special investigations are required because resonance effects of the layer significantly influence the shape of the spectrum. Numerical investigations are normally based on a one-dimensional theory of horizontally polarized shear waves propagating in vertical direction. The paper describes a parametric study to define acceleration response spectra for a soft soil over a half-space for a wide range of soil layer heights and material parameters. Based on this study a simplified method to describe response spectra for the model of a soft soil layer underlain by a viscoelastic halfspace is given.