Pattern analysis using syntactic methods is discussed briefly to introduce the ideas of the linguistic nature of the attributes and of possible invariance properties versus usual geometrical transformations. A linguistic operator invariant for projections from plane to plane is proposed and applied to the analysis of point patterns X. From knowledge of the operator "result" or "attribute", it is possible to obtain the convex envelope, reconstitute X, compare X to another pattern X' and more generally, to obtain the possible common subpatterns. This last process showy that a threshold exists, under which a pattern comparison is not reliable. Linguistic operators invariant for plane similarities are also considered.
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