Ruled Free Forms
نویسندگان
چکیده
The geometry of ruled surfaces is highly relevant for freeform architectural design, owing to the fact that any negatively curved freeform shape can be approximated by a smooth union of ruled surface strips. This information is important for the efficient manufacturing of both skins and underconstructions. The present paper discusses how to algorithmically solve this approximation problem. In particular we emphasize the special class of conoidal ruled surfaces which suggest new and simple ways of surface generation.
منابع مشابه
Characterization of Rational Ruled Surfaces
The ruled surface is a typical modeling surface in computer aided geometric design. It is usually given in the standard parametric form. However, it can also be in the forms than the standard one. For these forms, it is necessary to determine and find the standard form. In this paper, we present algorithms to determine whether a given implicit surface is a rational ruled surface. A parametrizat...
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