Averaging of three-dimensional directions field
A.V. Ustinov

Image Processing Systems Institute of the RAS

Full text of article: Russian language.

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.


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