By Cristiano Ceccato (auth.), Cristiano Ceccato, Lars Hesselgren, Mark Pauly, Helmut Pottmann, Johannes Wallner (eds.)
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Книга на основе серий лекций для студентов, направлена на широкий круг читателей. Живая и развлекательная книга доказывает, что далеко не пыльный, тупой предмет, геометрия , на самом деле полна красоты и очарования. Заразительный энтузиазм и иллюстрации от автора, делают доступными сложные темы, такие как Хаос и фракталы, теория относительности Эйнштейна.
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Extra info for Advances in Architectural Geometry 2010
We therefore propose an extension of the paneling algorithm to incorporate sharp features. Figure 8: Illustration of the mold depot and the cost model by means of the example shown in Figure 3(e). The colors of panels are saturated according to mold reuse. Figure 4 lists the glass cost ratios used for this example. 61 Eigensatz et al. Sharp feature lines can either be speciﬁed by the designer as specially marked lines of the initial curve network, or automatically computed by detecting sharp creases on the design surface.
The goal is to ﬁnd a collection of panels, such that their union approximates the reference surface. Since the quality of the approximation strongly depends on the position and tangent continuity across panel boundaries, Eigensatz and coworkers identify two quality measures (see Figure 5): divergence: quantiﬁes the spatial gap between adjacent panels and, kink angle: measures the jump in normal vectors between adjacent panels. 56 Case Studies in Cost-Optimized Paneling of Architectural Freeform Surfaces Figure 5: Terminology and variables used in the paneling algorithm.
2010]. control of the surface shape and the paneling layout. The simple causal chains inherent to parametric modeling, however, are insufﬁcient for the rationalization of complex freeform geometries. , [Shelden 2002]). These are mostly dedicated to developable or nearly developable surfaces, as a result of the speciﬁc design process that is based on digital reconstruction of models made from material that assumes (nearly) developable shapes. This approach is well suited for panels made of materials like sheet metal that may be deformed to developable or nearly developable shapes at reasonable cost.
Advances in Architectural Geometry 2010 by Cristiano Ceccato (auth.), Cristiano Ceccato, Lars Hesselgren, Mark Pauly, Helmut Pottmann, Johannes Wallner (eds.)
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