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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...

    Alexander I. Bobenko, Ulrike Bücking in Modern Approaches to Discrete Curvature (2017)

  2. 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...

    Michael Joswig, Milan Mehner in Advances in Discrete Differential Geometry (2016)

  3. 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 ...

    Alexander I. Bobenko, Stefan Sechelmann in Advances in Discrete Differential Geometry (2016)

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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 ...

    Thilo Rörig, Stefan Sechelmann, Agata Kycia in Advances in Architectural Geometry 2014 (2015)

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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...

    Stefan Sechelmann, Thilo Rörig in Advances in Architectural Geometry 2012 (2013)

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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...

    Elisa Lafuente Hernández, Stefan Sechelmann in Advances in Architectural Geometry 2012 (2013)

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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...

    Elisa Lafuente Hernández, Christoph Gengnagel in Computational Design Modelling (2012)