STRUCTURAL
SEGMENTATION (APPROXIMATION) AND POSITIONAL

DETECTION OF ARBITRARY SHAPED CONTOUR OBJECTS.

**SOLUTIONS
FOR ACTUAL CONDITIONS.**

DETECTION OF ARBITRARY SHAPED CONTOUR OBJECTS.

Last_Variant |

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 ofunisonof parametric (positional) hypotheses. Essential interpretation of Hough transform. Positional detection of definite configurations inclosepartly 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.

The present
work deals with elaborate the problem of jam-resistant
representation of contour images as sets of *elementary*
line segments. It elaborates the problem of
following positional detection (detection with finding the position
and orientation) among these sets of specified configurations.
These configurations are determined therough their samples (templates)
which, herein, themselves represent the individual images of piecewise-smooth
objects. Origin materials were contour preparation of actual gray scale
images **[examples]**.

The work consists of three sections. Their catalogs-comments are following (were**[X.X]** - hyperreferece on corresponding piece of base
text).

The work consists of three sections. Their catalogs-comments are following (were

1.
Bell-approximation.

In the first section the author considers the problem of jam-resistant segmentation of simplest contour figures consisting of straight-line segments.

Problem of structural segmentation (approximation) of arbitrary shaped curves is solved.

Such the function enables

In general, contiguous segments - the segments with fuzzy ends - are themselves a development of the concept of tangent comparison/juxtaposition of curves. They lead up such the comparison to a maximum of a geometrical definitiveness. The rigid conformity in the center and gently at the ends, i.e. contiguity, is in the whole the maximum of geometrical strictness, which can have the universal units of primary segmentation/approximating of arbitrary shaped curve lines. More stringent linear units

[2.3]

[2.4]

Problem of positional detection of contour objects in case of

[3.3]

The paper is a structural hypertext variant of the following work with some specifications in the terminology:

Shulga V.I. "Complex (Collection) of Interference Defended Procedures of Contour Boundary Approximation and Recognition of Objects on Contour Images (research work)" / Glushkov Institute of Cybernetics, Academy of Sciences of the Ukraine, Kiev, 1992, 75p. (In Russian) / Deposited in the All-Union Institute of Scientific and Engineering Information (Moscow), 04.01.92, N 12-B92.

http://shulga.tripod.com/GEOLIN/glnfl1.htm