minkowski_add2minkowski_add2MinkowskiAdd2MinkowskiAdd2minkowski_add2 (Operator)

Name

minkowski_add2minkowski_add2MinkowskiAdd2MinkowskiAdd2minkowski_add2 — Dilate a region (using a reference point).

Signature

minkowski_add2(Region, StructElement : RegionMinkAdd : Row, Column, Iterations : )

Description

minkowski_add2minkowski_add2MinkowskiAdd2MinkowskiAdd2MinkowskiAdd2minkowski_add2 computes the Minkowski addition of the input regions with a structuring element (StructElementStructElementStructElementStructElementstructElementstruct_element) having the reference point (RowRowRowRowrowrow,ColumnColumnColumnColumncolumncolumn). minkowski_add2minkowski_add2MinkowskiAdd2MinkowskiAdd2MinkowskiAdd2minkowski_add2 has a similar effect as minkowski_add1minkowski_add1MinkowskiAdd1MinkowskiAdd1MinkowskiAdd1minkowski_add1, the difference is that the reference point of the structuring element can be chosen arbitrarily. The parameter IterationsIterationsIterationsIterationsiterationsiterations determines the number of iterations which are to be performed with the structuring element. The result of iteration n-1 is used as input for iteration n.

An empty region is generated in case of an empty structuring element.

Structuring elements (StructElementStructElementStructElementStructElementstructElementstruct_element) can be generated with operators such as gen_circlegen_circleGenCircleGenCircleGenCirclegen_circle, gen_rectangle1gen_rectangle1GenRectangle1GenRectangle1GenRectangle1gen_rectangle1, gen_rectangle2gen_rectangle2GenRectangle2GenRectangle2GenRectangle2gen_rectangle2, gen_ellipsegen_ellipseGenEllipseGenEllipseGenEllipsegen_ellipse, draw_regiondraw_regionDrawRegionDrawRegionDrawRegiondraw_region, gen_region_polygongen_region_polygonGenRegionPolygonGenRegionPolygonGenRegionPolygongen_region_polygon, gen_region_pointsgen_region_pointsGenRegionPointsGenRegionPointsGenRegionPointsgen_region_points, etc.

Attention

A Minkowski addition always results in enlarged regions. Closely spaced regions which may touch or overlap as a result of the dilation are still treated as two separate regions. If the desired behavior is to merge them into one region, the operator union1union1Union1Union1Union1union1 has to be called first.

Execution Information

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

RegionRegionRegionRegionregionregion (input_object) region(-array) → object

Regions to be dilated.

StructElementStructElementStructElementStructElementstructElementstruct_element (input_object) region → object

Structuring element.

RegionMinkAddRegionMinkAddRegionMinkAddRegionMinkAddregionMinkAddregion_mink_add (output_object) region(-array) → object

Dilated regions.

RowRowRowRowrowrow (input_control) point.y → (integer)

Row coordinate of the reference point.

Value range: 1 ≤ Row Row Row Row row row ≤ 511 (lin)

Minimum increment: 1

Recommended increment: 1

ColumnColumnColumnColumncolumncolumn (input_control) point.x → (integer)

Column coordinate of the reference point.

Value range: 1 ≤ Column Column Column Column column column ≤ 511 (lin)

Minimum increment: 1

Recommended increment: 1

IterationsIterationsIterationsIterationsiterationsiterations (input_control) integer → (integer)

Number of iterations.

Default: 1

Suggested values: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 17, 20, 30, 40, 50

Value range: 1 ≤ Iterations Iterations Iterations Iterations iterations iterations (lin)

Minimum increment: 1

Recommended increment: 1

Complexity

Let F1 be the area of the input region, and F2 be the area of the structuring element. Then the runtime complexity for one region is:

Result

minkowski_add2minkowski_add2MinkowskiAdd2MinkowskiAdd2MinkowskiAdd2minkowski_add2 returns 2 ( H_MSG_TRUE) if all parameters are correct. The behavior in case of empty or no input region can be set via: