shape_transshape_transShapeTransshape_transShapeTransShapeTrans (Operator)

Name

shape_transshape_transShapeTransshape_transShapeTransShapeTrans — Transform the shape of a region.

Signature

Description

shape_transshape_transShapeTransshape_transShapeTransShapeTrans transforms the shape of the input regions depending on the parameter TypeTypeTypeTypeTypetype:

'convex'

Convex hull.

'ellipse'

Ellipse with the same moments and area as the input region.

'outer_circle'

Smallest enclosing circle.

'inner_circle'

Largest circle fitting into the region.

'rectangle1'

Smallest enclosing rectangle parallel to the coordinate axes.

'rectangle2'

Smallest enclosing rectangle.

'inner_rectangle1'

Largest axis-parallel rectangle fitting into the region.

'inner_center'

The point on the skeleton of the input region having the smallest distance to the center of gravity of the input region.

Attention

If TypeTypeTypeTypeTypetype = 'outer_circle'"outer_circle""outer_circle""outer_circle""outer_circle""outer_circle" is selected it might happen that the resulting circular region does not completely cover the input region. This is because internally the operators smallest_circlesmallest_circleSmallestCirclesmallest_circleSmallestCircleSmallestCircle and gen_circlegen_circleGenCirclegen_circleGenCircleGenCircle are used to compute the outer circle. As described in the documentation of smallest_circlesmallest_circleSmallestCirclesmallest_circleSmallestCircleSmallestCircle, the calculated radius can be too small by up to 1/sqrt(2)-0.5 pixels. Additionally, the circle that is generated by gen_circlegen_circleGenCirclegen_circleGenCircleGenCircle is translated by up to 0.5 pixels in both directions, i.e., by up to 1/sqrt(2) pixels. Consequently, when adding up both effects, the original region might protrude beyond the returned circular region by at most 1 pixel.

Parallelization

• Multithreading type: reentrant (runs in parallel with non-exclusive operators).
• Multithreading scope: global (may be called from any thread).
• Automatically parallelized on tuple level.

Parameters

Complexity

Let F be the area of the input region. Then the runtime complexity is O(F).

Result

shape_transshape_transShapeTransshape_transShapeTransShapeTrans returns 2 (H_MSG_TRUE) if all parameters are correct. The behavior in case of empty input (no regions given) can be set via set_system('no_object_result',<Result>)set_system("no_object_result",<Result>)SetSystem("no_object_result",<Result>)set_system("no_object_result",<Result>)SetSystem("no_object_result",<Result>)SetSystem("no_object_result",<Result>). If necessary, an exception is raised.

Possible Predecessors

connectionconnectionConnectionconnectionConnectionConnection, regiongrowingregiongrowingRegiongrowingregiongrowingRegiongrowingRegiongrowing

Possible Successors

disp_regiondisp_regionDispRegiondisp_regionDispRegionDispRegion, regiongrowing_meanregiongrowing_meanRegiongrowingMeanregiongrowing_meanRegiongrowingMeanRegiongrowingMean, area_centerarea_centerAreaCenterarea_centerAreaCenterAreaCenter

See also

convexityconvexityConvexityconvexityConvexityConvexity, elliptic_axiselliptic_axisEllipticAxiselliptic_axisEllipticAxisEllipticAxis, area_centerarea_centerAreaCenterarea_centerAreaCenterAreaCenter, smallest_rectangle1smallest_rectangle1SmallestRectangle1smallest_rectangle1SmallestRectangle1SmallestRectangle1, smallest_rectangle2smallest_rectangle2SmallestRectangle2smallest_rectangle2SmallestRectangle2SmallestRectangle2, inner_rectangle1inner_rectangle1InnerRectangle1inner_rectangle1InnerRectangle1InnerRectangle1, set_shapeset_shapeSetShapeset_shapeSetShapeSetShape, select_shapeselect_shapeSelectShapeselect_shapeSelectShapeSelectShape, inner_circleinner_circleInnerCircleinner_circleInnerCircleInnerCircle

Module

Foundation