dilation1dilation1Dilation1Dilation1dilation1 (算子名称)

名称

dilation1dilation1Dilation1Dilation1dilation1 — Dilate a region.

参数签名

描述

dilation1dilation1Dilation1Dilation1Dilation1dilation1 dilates the input regions with a structuring element. By applying dilation1dilation1Dilation1Dilation1Dilation1dilation1 to a region, its boundary gets smoothed. In the process, the area of the region is enlarged. Furthermore, disconnected regions may be merged. Such regions, however, remain logically distinct region. The dilation is a set-theoretic region operation. It uses the union operation.

Let M (StructElementStructElementStructElementStructElementstructElementstruct_element) and R (区域区域区域区域区域区域) be two regions, where M is the structuring element and R is the region to be processed. Furthermore, let m be a point in M. Then the displacement vector is defined as the difference of the center of gravity of M and the vector . Let denote the translation of a region R by a vector . Then

For each point m in M a translation of the region R is performed. The union of all these translations is the dilation of R with M. dilation1dilation1Dilation1Dilation1Dilation1dilation1 is similar to the operator minkowski_add1minkowski_add1MinkowskiAdd1MinkowskiAdd1MinkowskiAdd1minkowski_add1, the difference is that in dilation1dilation1Dilation1Dilation1Dilation1dilation1 the structuring element is mirrored at the origin. The position of StructElementStructElementStructElementStructElementstructElementstruct_element is meaningless, since the displacement vectors are determined with respect to the center of gravity of M.

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. From the above definition it follows that 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.

注意

A dilation 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.

运行信息

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

参数表

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:

结果

dilation1dilation1Dilation1Dilation1Dilation1dilation1 returns 2 ( H_MSG_TRUE) if all parameters are correct. The behavior in case of empty or no input region can be set via:

• no region: set_system('no_object_result',<RegionResult>)set_system("no_object_result",<RegionResult>)SetSystem("no_object_result",<RegionResult>)SetSystem("no_object_result",<RegionResult>)SetSystem("no_object_result",<RegionResult>)set_system("no_object_result",<RegionResult>)

• empty region: set_system('empty_region_result',<RegionResult>)set_system("empty_region_result",<RegionResult>)SetSystem("empty_region_result",<RegionResult>)SetSystem("empty_region_result",<RegionResult>)SetSystem("empty_region_result",<RegionResult>)set_system("empty_region_result",<RegionResult>)

Otherwise, an exception is raised.

可能的前置算子

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

可能的后置算子

reduce_domainreduce_domainReduceDomainReduceDomainReduceDomainreduce_domain, add_channelsadd_channelsAddChannelsAddChannelsAddChannelsadd_channels, select_shapeselect_shapeSelectShapeSelectShapeSelectShapeselect_shape, area_centerarea_centerAreaCenterAreaCenterAreaCenterarea_center, connectionconnectionConnectionConnectionConnectionconnection

可替代算子

minkowski_add1minkowski_add1MinkowskiAdd1MinkowskiAdd1MinkowskiAdd1minkowski_add1, minkowski_add2minkowski_add2MinkowskiAdd2MinkowskiAdd2MinkowskiAdd2minkowski_add2, dilation2dilation2Dilation2Dilation2Dilation2dilation2

参考其它

erosion1erosion1Erosion1Erosion1Erosion1erosion1, erosion2erosion2Erosion2Erosion2Erosion2erosion2, openingopeningOpeningOpeningOpeningopening, closingclosingClosingClosingClosingclosing

模块

Foundation

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