Surface Panelization Using Periodic Conformal Maps

Thilo Rörig (), Stefan Sechelmann, Agata Kycia and Moritz Fleischmann
Additional contact information
Thilo Rörig: Technische Universität Berlin, Institut für Mathematik
Stefan Sechelmann: Technische Universität Berlin, Institut für Mathematik
Agata Kycia: HENN Architekten, HENN Research
Moritz Fleischmann: HENN Architekten, HENN Research

A chapter in Advances in Architectural Geometry 2014, 2015, pp 199-214 from Springer

Abstract: Abstract 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 on discrete conformal maps from the surface mesh to a cylinder or cone of revolution. It accounts for a number of degrees of freedom on the boundary that can be used to obtain a variety of alternative panelizations. We illustrate different choices of parameters for nurbs surface designs. Further, we describe how our parameterization can be used to get a periodic boundary aligned hex-mesh on a doubly-curved surface and show the potential on an architectural facade case study. Here we optimize an initial mesh in various ways to consist of a limited number of planar regular hexagons that panel a given surface.

Keywords: Edge Length; Boundary Vertex; Freeform Surface; Triangle Mesh; Interior Vertex (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-11418-7_13

Ordering information: This item can be ordered from
http://www.springer.com/9783319114187

DOI: 10.1007/978-3-319-11418-7_13

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().