论文标题
形状语法分析：规则的连续性
Analysis of shape grammars: continuity of rules
论文作者
论文摘要
形状语法中的规则适用于嵌入以利用形状外观出现的零件。虽然随着计算向前移动而保持形状，但可以通过分析如何应用规则来追溯定义形状的部分结构。一个重要的结果是，规则连续性不是内置的，而是“回顾性捏造”以将计算作为连续过程分析。文献中尚未解决的连续性分析的一个方面是如何确定用于研究规则应用程序连续性的映射表格。本文使用了有关形状拓扑和连续映射的最新结果解决了这一点。提供了一种表征，该表征将合适的映射形式与固有不连续或实际上无关紧要的映射形式区分开来。还表明，形状拓扑和连续映射的某些内在特性提供了一种有效的计算拓扑算法的方法。
The rules in a shape grammar apply in terms of embedding to take advantage of the parts that emerge visually in the appearance of shapes. While the shapes are kept unanalyzed as a computation moves forward, part-structures for shapes can be defined retrospectively by analyzing how the rules were applied. An important outcome of this is that rule continuity is not builtin but it is "fabricated" retrospectively to analyze the computation as a continuous process. An aspect of continuity analysis that has not been addressed in the literature is how to decide which mapping forms to use to study the continuity of rule applications. This is addressed in this paper using recent results on shape topology and continuous mappings. A characterization is provided that distinguishes the suitable mapping forms from those that are inherently discontinuous or practically inconsequential for continuity analysis. It is also shown that certain intrinsic properties of shape topologies and continuous mappings provide an effective method of computing topologies algorithmically.
