Читать книгу Rethinking Prototyping - Группа авторов - Страница 134

In contrast to most of these methods, this paper does not directly approximate a given surface or mesh, but rather assumes a family of curves that outline a surface. Through two consecutive curves, strips of developable patches are spanned that allow the user to control the direction of the edges.

Fig. 2 Architectural study constructed with the methods of this work. Not only curvature lines can be used for panel alignment, but also general curves.

After showing the differences between single curved and double curved glass panels in design and production in section 2, we review all geometrical concepts necessary for understanding this work in section 3.

The main contribution of this paper, an approach to approximate given boundary curves with panels made of general cylinders and general cones, can be found in section 4. No further optimization is employed. All results can be scripted in standard CAD software without the need of external libraries or mathematical software. Since the desired application is architecture, the presented algorithm also allows the user to enter tolerances regarding the distance of panels. Examples and architectural studies are shown in section 5 and we conclude with a summary in section 6.