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Physical substance of classical root-mean-square approximation. Principles of functional correction. Bell-like function of membership - the base of jam resistance. Segments with fuzzy ends - the universal units of structural segmentation of arbitrary shaped curves. Fast template matching trough registration of unison of parametric (positional) hypotheses. Essential interpretation of Hough transform. Positional detection of definite configurations in close partly overlapping context.
Keywords:
data modeling, regression analysis, interpolation, approximation, segmentation, piecewise-smooth curves, splines, fuzzy sets; shape analysis, image analysis, pattern recognition, image recognition, template matching, Hough transform; computer vision, machine vision, industrial vision, robot vision, drawing recognition, documents analysis; analysis of schemes, maps, graphs, trajectories and signal processing as a whole; applied geometry.