Optimizing B-spline surfaces for developability and paneling architectural freeform surfaces

Motivated by applications in architecture and design, we present a novel method for increasing the developability of a B-spline surface. We use the property that the Gauss image of a developable surface is 1-dimensional and can be locally well approximated by circles. This is cast into an algorithm...

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Veröffentlicht in:	Computer aided design 2019-06, Vol.111, p.29-43
Hauptverfasser:	Gavriil, Konstantinos, Schiftner, Alexander, Pottmann, Helmut
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Architectural geometry Architecture Computational differential geometry Constrained optimization Developable surface Panels Production costs Spline surface
Online-Zugang:	Volltext
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