Graph model layout technology is an important cornerstone in graph visualization. Although the present graph model layout methods have been well studied, there are obvious problems: (1) excessively high initial state correlation; (2) excessive reliance on local optimal solutions; (3) limitation on the number of nodes. In this paper, we propose a new graph layout method on a graph grammar framework. First, the input graph model is parsed by graph grammar, with the reduction process recorded. Next, in the reverse order of reduction, the derivation operation starts from the initial graph and ends at a redrawn graph, with a new layout that meets the required specifications. Compared with other methods, regardless of the initial state, this method combines global and local layout specifications in productions and provides an intuitive yet effective way for the graph layout adjustment.
With the development of computer-aided design, visual languages have been widely used as formal methods to represent various types of graphical models. Accordingly, many grammar systems have been proposed for the specification of visual languages. However, apart from shape grammar, most grammars focus on the abstract structures of the languages and ignore the semantic modeling of graph drawing. Furthermore, shape grammar supports generation rather than parsing, with its limited application scope. To address these problems, this paper proposes an enhanced grammar system based on Coordinate Graph Grammar (CGG). Different from traditional grammars, the enhanced system defines a new type of grammatical rule named shape rules to transform graphs into shapes by shape applications. In each shape application, the assertion set describes the range of validity, and shapes can be generated by translation, zoom, and rotation to a set of rule-based coordinates. With the combinations of shape applications and L-applications, the node-edge graph and drawn outline could both be specified, building a bridge between abstract structures and physical layouts of visual languages. An example is given to illustrate the application of the enhanced system in industrial design, where a Bauhaus-style baby cradle is generated by the combination of shape applications and L-applications.
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