Calculate the parameters of a regression line to an XLD contour.
regress_contours_xld calculates the following parameters for the input XLD contours Contours, and stores them with the resulting contours as global attributes:
- the coordinates of the normal vector of the regression line, i.e., the least-squares approximating line, of all contour points; the normal vector always points from the origin to the line (attributes: 'regr_norm_row', 'regr_norm_col'), - the mean of the Euclidian distance of the contour points from the regression line (attribute: 'regr_mean_dist'), - the standard deviation of these distances to the regression line (attribute: 'regr_dev_dist').For Mode = 'no', the parameters of the regression line are calculated for all points of the contour. In addition, three different kinds of outlier treatment can be applied. Outliers are contour points which do not lie on the general contour direction in an ``obvious'' manner, and thus ``distort'' the resulting regression line.
Mode =
'drop': All contour points further away from the contour than the
mean distance from the regression line are ignored for the
calculation of the undistorted regression line.
'gauss': The distances of the contour points are weighted according
to their probability of occurence in a Gaussian
distribution around the normal regression line.
'median': Here, also a normal distribution is assumed for the
distances to the normal regression line, however with the
outlier-independent standard deviation
(median(all dist.)/0.6745). Again, the distances are
weighted, and points further away than a certain distance
are ignored for the undistorted regression line.
The calculation of the undistorted regression line can be iterated
several times (Iterations).
|
Contours (input_object) |
xld_cont-array -> object |
| Input XLD contours. | |
|
RegressContours (output_object) |
xld_cont-array -> object |
| Resulting XLD contours. | |
|
Mode (input_control) |
string -> string |
| Type of outlier treatment. | |
| Default value: 'no' | |
| List of values: 'no', 'drop', 'gauss', 'median' | |
|
Iterations (input_control) |
integer -> integer |
| Number of iterations for the outlier treatment. | |
| Default value: 1 | |
| Suggested values: 1, 2, 3, 5, 10, 20 | |
regress_contours_xld is reentrant and processed without parallelization.
gen_contours_skeleton_xld, lines_gauss, lines_facet, edges_sub_pix
smooth_contours_xld, get_contour_global_attrib_xld, query_contour_global_attribs_xld
H. Suesse, K. Voss: "Adaptive Ausgleichsrechnung und Ausreißerproblematik für die digitale Bildverarbeitung"; Proc. 15. DAGM Symposium, Springer Verlag, Lübeck 1993
R. Haralick, L. Shapiro: "Computer and Robot Vision" Vol. 2; Kapitel 14.9, Addison-Wesley 1992
Sub-pixel operators
