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A transformation system for generating description languages of chain code pictures. (English) Zbl 0678.68067
Summary: A picture is a set of unit lines from the cartesian plane considered as a squaregrid. To each connected picture a description is given by a word over the alphabet \(\{\) r,l,u,d\(\}\), where “r” means “go one unit line right from the current point and draw this unit line” and l,u,d are interpreted analogously with “left”, “up” and “down”, respectively. For a picture p, it was shown in [H. A. Maurer, G. Rozenberg and (INVALID INPUT)E. Welzl; Inf. Control. 54, 155-185 (1982; Zbl 0523.68065)] that the description language, i.e. all the words which describe the picture p, is a regular one. To construct such a regular language one needs geometric information about the picture. We present a system of transformations, which map one word over the alphabet \(\{\) r,l,u,d\(\}\) to another word, which describes the same picture. It is also shown that exactly all the picture descriptions can be generated, started by some word.

MSC:
68Q45 Formal languages and automata
68T10 Pattern recognition, speech recognition
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