Full text of article: Russian language.

Abstract:
A method of averaging of the three-dimensional directions field is described in present article. It has constructed by analogy with averaging of the conventional planar directions field. The method gives results, quite coordinating with geometrically obvious ones in case, if corporal angle formed by averaged vectors  is comparatively small. At increasing of this angle uncommon effects appear. Also it should be noted some interesting feature of the described averaging – it is not associative.

Key words:
directions field, three-dimensional directions field, non-associativity of addition.

References:

1. Korn GA, Korn TM. Mathematical Handbook for scientists and engineers. New York: McGraw-Hill Book Company; 1968.
2. Computer Image Processing, Part II: Methods and algorithms. Edited by Soifer VA. VDM Verlag, 2009.
3. Wilkinson JH, Reinsch C. Handbook for Automatic Computation. Linear Algebra. Springer-Verlag, 1971.
4. Soifer VA, Khramov AG, Korepanov AO Fuzzy Direction Field Method for Fringe and Tree-like Patterns Analysis. Proceedings of the 17th International Conference on Pattern Recognition 2004: 2.; 779-782.

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