9.23. Compute Euclidean Distance Map

Group (Subgroup)

Statistics (Morphological)

Description

This Filter calculates the distance of each Cell from the nearest Feature boundary, triple line and/or quadruple point. The following algorithm explains the process:

  1. Find the Feature that owns each Cell and its six face-face neighbors of each Cell

  2. For all Cells that have at least 2 different neighbors, set their GBEuclideanDistance to 0. For all Cells that have at least 3 different neighbors, set their TJEuclideanDistance to 0. For all Cells that have at least 4 different neighbors, set their QPEuclideanDistance to 0

  3. For each of the three EuclideanDistace maps, iteratively “grow” out from the Cells identified to have a distance of 0 by the following sub-steps:

  • Determine the Cells that neighbor a Cell of distance 0 in the current map.

  • Assign a distance of 1 to those Cells and list the 0 Cell neighbor as their nearest neighbor

  • Repeat previous two sub-steps, increasing the distances by 1 each iteration, until no Cells remain without a distance and nearest neighbor assigned.

    Note: the distances calculated at this point are “city-block” distances and not “shortest distance” distances.

  1. If the option Calculate Manhattan Distance is false, then the “city-block” distances are overwritten with the Euclidean Distance from the Cell to its nearest neighbor Cell and stored in a float array instead of an integer array.

Input Parameter(s)

Parameter Name

Parameter Type

Parameter Notes

Description

Output arrays are Manhattan distance (int32)

Bool

If Manhattan distance is used then results are stored as int32 otherwise results are stored as float32

Calculate Distance to Boundaries

Bool

Whether the distance of each Cell to a Feature boundary is calculated

Calculate Distance to Triple Lines

Bool

Whether the distance of each Cell to a triple line between Features is calculated

Calculate Distance to Quadruple Points

Bool

Whether the distance of each Cell to a quadruple point between Features is calculated

Store the Nearest Boundary Cells

Bool

Whether to store the nearest neighbors of Cell

Input Cell Data

Parameter Name

Parameter Type

Parameter Notes

Description

Selected Image Geometry

Geometry Selection

Image

The target geometry

Cell Feature Ids

Array Selection

Allowed Types: int32 Comp. Shape: 1

Specifies to which feature each cell belongs.

Output Cell Data

Parameter Name

Parameter Type

Parameter Notes

Description

Boundary Distances

DataObjectName

The name of the array with the distance the cells are from the boundary of the Feature they belong to.

Triple Line Distances

DataObjectName

The name of the array with the distance the cells are from a triple junction of Features.

Quadruple Point Distances

DataObjectName

The name of the array with the distance the cells are from a quadruple point of Features.

Nearest Boundary Cells

DataObjectName

The name of the array with the indices of the closest cell that touches a boundary, triple and quadruple point for each cell.

Example Pipelines

  • (01) SmallIN100 Morphological Statistics

DREAM3D-NX Help

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