Classification of geometric invariants of planar representations by the method of autocorrelation functions

New results and algorithms are obtained for classifting characteristics of planar representations by the method of autocorrelation functions. Theorems are proven on the geometric content of an arbitrary autocorrelation function for various surfaces of planar representations. New algorithms are propo...

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Veröffentlicht in:Journal of Mathematical Sciences 1994-06, Vol.70 (1), p.1575-1577
Hauptverfasser: Kirichenko, N. F., Kutsenko, A. A., Lepekha, P. P.
Format: Artikel
Sprache:eng
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Zusammenfassung:New results and algorithms are obtained for classifting characteristics of planar representations by the method of autocorrelation functions. Theorems are proven on the geometric content of an arbitrary autocorrelation function for various surfaces of planar representations. New algorithms are proposed for normalizing representations and for computing characteristics which are invariant relative to the transfortnation groups of a plane-parallel translation, rotation, and change of scale. 2 refs., 4 figs.
ISSN:1072-3374
1573-8795
DOI:10.1007/BF02111013