We list the basic concepts put in the base of build-up of the suggested positional detection scheme for objects of arbitrary form.

1. A separate segment of the simplest form (a smooth segment which is not containing explicit inflections) legiblly fixes a passing contour only in the direction of own normal. It is possible to place legiblly the contour figure only by combination of such sliding segments.

Approximation of contour boundaries by segments of more complicated form, which can lead to more rigid restriction of possible object positions, returns us to the problem of preliminary detection of the simplest segments, and, in essence, is equivalent to the problem of object detection as a whole.

2. The technique of of hypotheses accumulation opens in essence new engineering possibilities of a constructive solution of the integral geometrical detection problem of contour objects in conditions of sliding (fuzzy) initial matching of contours.

Final orientation to the technique of direct test of hypothesis about position and orientations of search objects, i.e. to the technique of comparison with standards (as, for example, in [32, 33], etc.)the for reduction of an amount of tested hypotheses forces to convert to a problem of detection enough characteristic initial fragments of search objects. Last problem, namely - the search problem of contour segment of nontrivial (not simple, but composite) form principally is not easier than the problem of detection of object as a whole.

A potential possibility of a constructive exit from this vicious circle also is given by sliding initial matching with subsequent solution of the positional detection problem with the hypotheses accumulation principle.

3. Development of the concept of contiguous segments allows to realize this possibility, - figuratively speaking, this development holds up a determinancy degree of initial segments (in connection with definition clearness of the cross position and orientation) up to greatest possible level (when the problem of detection of initial segments is still in essence more simple than detection of the whole figure), - up to that level from which already the technique of hypotheses accumulation can pick up the integral identification problem costructivelly.

From these positions the suggested positional detection scheme of arbitrary form objects is seems to be one of the most prospective schemes of automatic solution of this problem.

Naturally, it is necessary to realize that this scheme has essential restriction. It is applicable only to objects though arbitrary but basically known - fixed - forms. This scheme is intended for work in actual conditions, - when the detection problem can be solved only due to rigid restrictions on models of search objects. The detection problem of objects of nonrigid form is basically other problem, - a problem which is solved in conditions of enough complete initial information, and, moreover, in conditions of a possibility of its sequential purposeful improvement. Nevertheless, here again the suggested object detection scheme can take place. It is possible, that admissible changes of search object form will be corresponded to regular changes of a cluster form of generated hypograms, -similar, for example to changes light stain forms at focusing lens rocking. Such researches would be rather useful to the conscious consideration of geometrical distortions brought by optics, - for them maximum legible difference from cases in essence not those objects.

  I Thanks Professor Gimelfarb G.L., who helped to translate my ideas into Russian. He referred to Zade and Hough.
  I Thanks Doctor Olshtinskiy S.P., who provoked me to translate all this in English.
  I Thanks Chernenko Yuri, who endeavoured to make my English (that I think about it) to be somewhat understand to Englishmen.
  But even such noble efforts didn’t save the work from demerits. All they are caused by the author. He has hard socio (psycho) type: “Intuitively Logical Extravert” (“Don Quixote the Innovator”). Such ones are not corrected...
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