smallest_rectangle2_xld ( XLD : : : Row, Column, Phi, Length1, Length2 )

Smallest enclosing rectangle with arbitrary orientation.

The operator smallest_rectangle2_xld determines the smallest enclosing rectangle of a contour, i.e., the rectangle with the smallest area of all rectangles containing the contour. For this rectangle the center, the inclination, and the two radii are calculated.

If more than one contour is passed in XLD the results are stored in tuples, the index of a value in the tuple corresponding to the index of a contour in the input. In case of an empty contour all parameters have the value 0.0 if no other behavior was set (see set_system).


Parameters

XLD (input_object)
xld(-array) -> object
Contour(s) to be examined.

Row (output_control)
rectangle2.center.y(-array) -> real
Row coordinate of the center point of the enclosing rectangle.

Column (output_control)
rectangle2.center.x(-array) -> real
Column coordinate of the center point of the enclosing rectangle.

Phi (output_control)
rectangle2.angle.rad(-array) -> real
Orientation of the enclosing rectangle (arc measure)
Assertion: ((- pi / 2) < Phi) && (Phi <= (pi / 2))

Length1 (output_control)
rectangle2.hwidth(-array) -> real
First radius (half length) of the enclosing rectangle.
Assertion: Length1 >= 0.0

Length2 (output_control)
rectangle2.hheight(-array) -> real
Second radius (half width) of the enclosing rectangle.
Assertion: (Length2 >= 0.0) && (Length2 <= Length1)


Complexity

If N is the number of contour points and C is the number of points in the convex hull, the runtime complexity is O(N*ln(N)+C^2).


Result

smallest_rectangle2_xld returns 2 (H_MSG_TRUE) if the input is not empty. If the input is empty the behavior can be set via set_system(::'no_object_result',<Result>:). If necessary, an exception is raised.


Parallelization Information

smallest_rectangle2_xld is reentrant and automatically parallelized (on tuple level).


Possible Predecessors

gen_contours_skeleton_xld, edges_sub_pix, threshold_sub_pix, gen_contour_polygon_xld


Possible Successors

gen_polygons_xld


Alternatives

smallest_rectangle1, shape_trans_xld


See also

smallest_rectangle1, smallest_circle, elliptic_axis_xld


Module

Sub-pixel operators



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