![]() ![]() ![]() The meshing process generates an approximation of a given freeform geometry. To manifest a NURBS surface, a discrete model, namely a mesh model, is employed. Among the various techniques for freeform shape construction, a NURBS (Non-Uniform Rational Basis Spline) surface is perhaps the most commonly exploited geometrical model ( Piegl and Tiller, 1997 ). The development of manifesting freeform designs relies heavily on a core geometry, which is used from early conceptual form finding to final detailed building assembly. Frank Gehry ( Lindsey, 2001 ) and Zaha Hadid ( Jodidio, 2009 ) are prime examples of pioneering avant-garde designers who have incorporated freeform shapes into their designs. There is increasing interest in exploring complex freeform shapes in contemporary architectural and design practice. The objective of this approach is to provide an alternative way for freeform surface manifestation from a well-structured discrete model of the given surface.įreeform surfaces Irregular boundary conditions Boundary-driven analysis Quad-dominant mesh Surface tessellation To reduce the number of irregular panels that may form during the tessellation process, this paper presents an algorithmic approach to restructuring the surface tessellation by investigating irregular boundary conditions. For example, irregularly shaped panels form at the trimmed edges. When a surface is tessellated into discrete counterparts, certain unexpected conditions usually occur at the boundary of the surface, in particular, when the surface is being trimmed. In this paper, the surface tessellation problem is explored, in particular, the task of meshing a surface with the added consideration of incorporating constructible building components. ![]()
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