Parsing and Translation of (Attributed) Expansive Graph Languages for Scene Analysis

In this paper, we suggest a class of (attributed) expansive graph grammars which generate languages contained in a graph family Ω. It turns out that by means of node renumbering using a very effi-cient algorithm, any graph in Ω can be converted into a standard form, which enables the use of related string representation for that graph to facilitate the syntax analysis. As a consequence, the syntax analysis of (attributed) expansive graph language is very efficient and almost like the parsing of tree languages. Furthermore, a syntax-directed transla-tion can be established for mapping one (attributed) expansive graph language to another. Finally, since many relational graphs for scene analysis can be considered as belonging to these graph languages, the proposed graph grammar model appears to be quite attractive from the application point of view.