Abstract:
Motivated by applications in architecture and manufacturing, we discuss the problem of covering a freeform surface by single curved panels. This leads to the new concept of semi-discrete surface representation, which constitutes a link between smooth and discrete surfaces. The basic entity we are working with is the developable strip model. It is the semi-discrete equivalent of a quad mesh with planar faces, or a conjugate parametrization of a smooth surface. We present a B-spline based optimization framework for efficient computing with D-strip models. In particular we study conical and circular models, which semi-discretize the network of principal curvature lines, and which enjoy elegant geometric properties. Together with geodesic models and cylindrical models they offer a rich source of solutions for surface panelization problems.
Bibtex:
@article{pottmann-2008-sc,
> title = "Freeform surfaces from single curved panels",
> author = "H. Pottmann and A. Schiftner and P. Bo and
> H. Schmiedhofer and W. Wang and N. Baldassini and
> J. Wallner",
> journal = "ACM Trans. Graphics",
> volume = 27,
> number = 3,
> year = 2008,
> note = "Proc.\ SIGGRAPH",
}
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