Download Algebraic Methods in Pattern Recognition: Course held at the by Juliusz Kulikowski PDF

By Juliusz Kulikowski

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Additional info for Algebraic Methods in Pattern Recognition: Course held at the Department of Automation and Information July 1971

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Relations be- ing satisfied. However, usually a picture is not given in such a distinct form, as supposed in the example. The lines are rather 42 Chap. 3 - Structural Approach to the Recognition of Patterns diffused like in the following examples: 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 and a "skeleton" of the picture must be shown off before the lineend is detected.

C) detection of local features; d) higher level features detection and interpretation. The above mentioned picture processing levels should not be considered as strictly independent on each other. Sometimes the higher-level decisions should imply backward, on the decisions of the·lower-level. The decision algorithms of the lower levels up to the detection of local features can be based on the "classical" rec ognition methods. The deterministic, statistic~l and learning algorithms can be used at this stage of picture processing.

62 Chap. 5 - Formal Languages for Image Processing There are several kinds of standard procedures in the PICTURE ALGOL. The set algebra procedures make possible to perform the basic set-algebra operations on the sets of units the pictures consist of. : tions. Two other procedures make it possible to erase a picture and to fill the place (attached to a given arrayed variable) with zeros or to write there down another picture. Other procedures of this first group assign the value 11 true 11 to a BOOLEAN variable in the case if a picture consists of zeros only as well as in the case if two given pictures are identical.

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