9.18. Compute Biased Features (Bounding Box)

Group (Subgroup)

Generic (Spatial)

Description

This Filter determines which Features are biased by the outer surfaces of the sample. Larger Features are more likely to intersect the outer surfaces and thus it is not sufficient to only note which Features touch the outer surfaces of the sample. Denoting which Features are biased is important so that they may be excluded from any statistical analyses. The algorithm for determining whether a Feature is biased is as follows:

  1. The centroids of all Features are calculated

  2. All Features are tested to determine if they touch an outer surface of the sample

  3. The largest box is found that does not include any of the centroids of Features that intersect an outer surface of the sample

  4. Each Feature’s centroid is checked to see whether it lies within the box.

If a Feature’s centroid lies within the box, then the Feature is said to be unbiased, and if it lies outside the box, then the Feature is said to be biased.

By definition of the box, no Feature that intersects an outer surface of the sample can be considered unbiased, but it should be noted that Features that do not intersect the outer surfaces may still be considered biased. This algorithm works to determine the biased Features because all Features have one (and only one) centroid, no matter their size. Generally, this method will deem more small Features biased than the set of Features that just intersect the outer surfaces - and this corrects for the increased likelihood that larger Features will touch an outer surface.

Note: This Filter is a modification of an algorithm from Dave Rowenhorst (Naval Research Laboratory).

The images below show the feature ids before and after running this filter. The image on the right shows the biased features colored in red, the unbiased features colored by their feature id, the bounding box (described in step 3 of the algorithm above), and the feature centroids (white for unbiased and purple for biased). 2D Before and After Biased Features

Input Parameter(s)

Parameter Name

Parameter Type

Parameter Notes

Description

Apply Phase by Phase

Bool

Whether to apply the biased Features algorithm per Ensemble

Image Geometry

Geometry Selection

Image

The selected geometry in which to the (biased) features belong

Input Feature Data

Parameter Name

Parameter Type

Parameter Notes

Description

Centroids

Array Selection

Allowed Types: float32 Comp. Shape: 3

X, Y, Z coordinates of Feature center of mass

Surface Features

Array Selection

Allowed Types: uint8, boolean Comp. Shape: 1

Flag of 1 if Feature touches an outer surface or of 0 if it does not

Phases

Array Selection

Allowed Types: int32 Comp. Shape: 1

Specifies to which Ensemble each Feature belongs. Only required if Apply Phase by Phase is checked

Output Feature Data

Parameter Name

Parameter Type

Parameter Notes

Description

Biased Features

DataObjectName

Flag of 1 if Feature is biased or of 0 if it is not

Example Pipelines

  • ComputeBiasedFeatures.d3dpipeline

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