Freeform surfaces from single curved panels
H. Pottmann, A. Schiftner, P. Bo, H. Schmiedhofer, W. Wang, N. Baldassini, and J. Wallner.

ACM Trans. Graphics, Vol. 27/3 (2008).Proc. SIGGRAPH


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.


>      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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