transpose_regiontranspose_regionTransposeRegionTransposeRegion (Operator)

Name

transpose_regiontranspose_regionTransposeRegionTransposeRegion — Reflect a region about a point.

Signature

transpose_region(Region : Transposed : Row, Column : )

transpose_regiontranspose_regionTransposeRegionTransposeRegionTransposeRegion reflects a region about a point. The fixed point is given by ColumnColumnColumnColumncolumn and RowRowRowRowrow. The image P' of a point P is determined by the following requirement:

If P = S, then P' = S, i.e., the point S is the fixed point of the mapping. If , S is the center point of a line segment connecting P and P'. Therefore, the following equations result:

If RowRowRowRowrow and ColumnColumnColumnColumncolumn are set to the origin, the in morphology often used transposition results. Hence transpose_regiontranspose_regionTransposeRegionTransposeRegionTransposeRegion is often used to reflect (transpose) a structuring element.

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

RegionRegionRegionRegionregion (input_object) region(-array) → object

Region to be reflected.

TransposedTransposedTransposedTransposedtransposed (output_object) region(-array) → object

Transposed region.

RowRowRowRowrow (input_control) point.y → (integer)

Row coordinate of the reference point.

Default value: 0

Suggested values: 0, 64, 128, 256, 512

Typical range of values: 0 ≤ Row Row Row Row row ≤ 511 (lin)

Minimum increment: 1

Recommended increment: 1

ColumnColumnColumnColumncolumn (input_control) point.x → (integer)

Column coordinate of the reference point.

Default value: 0

Suggested values: 0, 64, 128, 256, 512

Typical range of values: 0 ≤ Column Column Column Column column ≤ 511 (lin)

Minimum increment: 1

Recommended increment: 1

Complexity

Let F be the area of the input region. Then the runtime complexity for one region is

Result

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