Читать книгу Rethinking Prototyping - Группа авторов - Страница 140

In this section we will present the main contribution of our work, after relating it to known methods in sec. 4.1. For two given curves we will construct a strip of conical panels i.e. a single curved surface by a direct algorithm in sec. 4.2. In sec. 4.3 we will explain how to choose a ruling direction that relates to the theory of conjugate directions, see sec. 3.3. Examples that have been constructed using this algorithm and suggestions for the predefined thresholds can be found in sec. 5.

We assume a given family of curves that outline a surface. Alternatively, take a modeling surface and chose a family of curves on them, such as the evenly spaced geodesics of (Wallner et al 2010) or (Kahlert et al 2011). If a network of (conjugate) directions is already given e.g. through methods of (Alliez et al 2003) or (Bommes et al 2009), one can also choose one of the families as input curves.