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Chapter
Discrete Minimal Surfaces of Koebe Type
There is an increasing interest to find suitable discrete analogs for known geometric notions and shapes like minimal surfaces. In this article, we consider parametrized surfaces which lead to quadrilateral me...
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Chapter
DGD Gallery: Storage, Sharing, and Publication of Digital Research Data
We describe a project, called the DGD Gallery, whose goal is to store geometric data and to make it publicly available. The DGD Gallery offers an online web service for the storage, sharing, and publication of...
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Chapter
Discrete Conformal Maps: Boundary Value Problems, Circle Domains, Fuchsian and Schottky Uniformization
We discuss several extensions and applications of the theory of discretely conformally equivalent triangle meshes (two meshes are considered conformally equivalent if corresponding edge lengths are related by ...
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Chapter and Conference Paper
Surface Panelization Using Periodic Conformal Maps
We present a new method to obtain periodic conformal parameterizations of surfaces with cylinder topology and describe applications to architectural design and rationalization of surfaces. The method is based ...
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Chapter and Conference Paper
Quasiisothermic Mesh Layout
The quality of a quad-mesh depends on the shape of the individual quadrilaterals. The ideal shape from an architectural point of view is the planar square or rectangles with fixed aspect ratio. A parameterizat...
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Chapter and Conference Paper
Topology Optimisation of Regular and Irregular Elastic Gridshells by Means of a Non-linear Variational Method
Gridshells composed of elastically-bent profiles offer significant cost and time advantages during the production, transport and construction processes. Nevertheless, the sha** of the initially flat grid als...
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Chapter and Conference Paper
On the Materiality and Structural Behaviour of Highly-Elastic Gridshell Structures
Gridshell structures made of highly elastic materials provide significant advantages thanks to their cost-effective and rapid erection process, whereby the initially in-plane grid members are progressively ben...