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 : )

Herror minkowski_add2(const Hobject Region, const Hobject StructElement, Hobject* RegionMinkAdd, const Hlong Row, const Hlong Column, const Hlong Iterations)

Herror T_minkowski_add2(const Hobject Region, const Hobject StructElement, Hobject* RegionMinkAdd, const Htuple Row, const Htuple Column, const Htuple Iterations)

void MinkowskiAdd2(const HObject& Region, const HObject& StructElement, HObject* RegionMinkAdd, const HTuple& Row, const HTuple& Column, const HTuple& Iterations)

HRegion HRegion::MinkowskiAdd2(const HRegion& StructElement, Hlong Row, Hlong Column, Hlong Iterations) const

static void HOperatorSet.MinkowskiAdd2(HObject region, HObject structElement, out HObject regionMinkAdd, HTuple row, HTuple column, HTuple iterations)

HRegion HRegion.MinkowskiAdd2(HRegion structElement, int row, int column, int iterations)

def minkowski_add2(region: HObject, struct_element: HObject, row: int, column: int, iterations: int) -> HObject

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

Parameters

RegionRegionRegionRegionregionregion (input_object)  region(-array) objectHRegionHObjectHRegionHobject

Regions to be dilated.

StructElementStructElementStructElementStructElementstructElementstruct_element (input_object)  region objectHRegionHObjectHRegionHobject

Structuring element.

RegionMinkAddRegionMinkAddRegionMinkAddRegionMinkAddregionMinkAddregion_mink_add (output_object)  region(-array) objectHRegionHObjectHRegionHobject *

Dilated regions.

RowRowRowRowrowrow (input_control)  point.y HTupleintHTupleHtuple (integer) (int / long) (Hlong) (Hlong)

Row coordinate of the reference point.

Typical range of values: 1 ≤ Row Row Row Row row row ≤ 511 (lin)

Minimum increment: 1

Recommended increment: 1

ColumnColumnColumnColumncolumncolumn (input_control)  point.x HTupleintHTupleHtuple (integer) (int / long) (Hlong) (Hlong)

Column coordinate of the reference point.

Typical range of values: 1 ≤ Column Column Column Column column column ≤ 511 (lin)

Minimum increment: 1

Recommended increment: 1

IterationsIterationsIterationsIterationsiterationsiterations (input_control)  integer HTupleintHTupleHtuple (integer) (int / long) (Hlong) (Hlong)

Number of iterations.

Default value: 1

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

Typical range of values: 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 TRUE if all parameters are correct. The behavior in case of empty or no input region can be set via:

Otherwise, an exception is raised.

Possible Predecessors

thresholdthresholdThresholdThresholdThresholdthreshold, regiongrowingregiongrowingRegiongrowingRegiongrowingRegiongrowingregiongrowing, connectionconnectionConnectionConnectionConnectionconnection, union1union1Union1Union1Union1union1, watershedswatershedsWatershedsWatershedsWatershedswatersheds, class_ndim_normclass_ndim_normClassNdimNormClassNdimNormClassNdimNormclass_ndim_norm, gen_circlegen_circleGenCircleGenCircleGenCirclegen_circle, gen_ellipsegen_ellipseGenEllipseGenEllipseGenEllipsegen_ellipse, gen_rectangle1gen_rectangle1GenRectangle1GenRectangle1GenRectangle1gen_rectangle1, gen_rectangle2gen_rectangle2GenRectangle2GenRectangle2GenRectangle2gen_rectangle2, draw_regiondraw_regionDrawRegionDrawRegionDrawRegiondraw_region, gen_region_pointsgen_region_pointsGenRegionPointsGenRegionPointsGenRegionPointsgen_region_points, gen_region_polygon_filledgen_region_polygon_filledGenRegionPolygonFilledGenRegionPolygonFilledGenRegionPolygonFilledgen_region_polygon_filled

Possible Successors

reduce_domainreduce_domainReduceDomainReduceDomainReduceDomainreduce_domain, select_shapeselect_shapeSelectShapeSelectShapeSelectShapeselect_shape, area_centerarea_centerAreaCenterAreaCenterAreaCenterarea_center, connectionconnectionConnectionConnectionConnectionconnection

Alternatives

minkowski_add1minkowski_add1MinkowskiAdd1MinkowskiAdd1MinkowskiAdd1minkowski_add1, dilation1dilation1Dilation1Dilation1Dilation1dilation1

See also

transpose_regiontranspose_regionTransposeRegionTransposeRegionTransposeRegiontranspose_region

Module

Foundation