Abstract
Natural systems develop efficient means of adapting to extreme environmental stresses throughout their evolutionary developments. Homeostasis is the term for the biological processes by which individual beings and collectives maintain their equilibrium in their environment, and there is a wide range of morphological and behavioral traits across multiple species that are rooted in their homeostatic mechanisms throughout their lives. To examine and reflect on the interrelations of forms, processes, and behaviors can yield useful strategies to develop architectural morphologies with significant environmental performance enhancements. An evolutionary design process with embedded homeostatic principles to generate building clusters with morphological characteristics to enhance the clusters' environmental performance in a context with excessive solar radiation has been proposed in this paper.
Highlights
Offsetting is an essential task in many industrial applications
Similar to standard Voronoi diagrams and straight skeletons [16], the wavefront vertices will trace out the edges of our skeletal structures
We extend the work by Held et al [12] and present a wavefront-based construction strategy for generalized weighted Voronoi diagrams
Summary
Offsetting is an essential task in many industrial applications. In conventional constant-radius offsetting all parts of the input set expand or shrink uniformly at the same speed. Similar to standard Voronoi diagrams and straight skeletons [16], the wavefront vertices will trace out the edges of our skeletal structures That is, they move along the bisectors of pairs of input sites (relative to the weighted distance). The GWVD VDw(S) of a set S of n weighted points and variably-weighted straight-line segments as input sites can be computed in O(n2+ε) time, for any ε > 0. If a collision or domination event occurs at time tσ a pair of moving intersections is inserted or removed, respectively, from their corresponding offset circles. (This strategy is inherited from a similar situation that can occur for weighted straight skeletons [9].) In order to make sure that we will not miss a split event we have to compute all collisions of the offset circle of s1 with the other wavefront edges of its wavefront component. All other events consume at most O(log n) time, since they require a constant number of lookups, insertions, and/or deletions in a self-balancing binary search tree of size O(n) or in a priority queue of size O(nr)
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