9.131. Sample Triangle Geometry on Uncertain Regular Grid

Group (Subgroup)

Sampling (Resolution)

Description

This Filter “samples” a triangulated surface mesh on a rectilinear grid, but with “uncertainty” in the absolute position of the Cells. The “uncertainty” is meant to simulate the possible positioning error in a sampling probe. The user can specify the number of Cells along the X, Y, and Z directions in addition to the resolution in each direction and origin to define a rectilinear grid. The sampling, with “uncertainty”, is then performed by the following steps:

  1. Determine the bounding box and Triangle list of each Feature by scanning all Triangles and noting the Features on either side of the Triangle

  2. For each Cell in the rectilinear grid, perturb the location of the Cell by generating a three random numbers between [-1, 1] and multiplying them by the three uncertainty values (one for each direction)

  3. For each perturbed Cell in the rectilinear grid, determine which bounding box(es) they fall in (Note: the bounding box of multiple Features can overlap)

  4. For each bounding box a Cell falls in, check against that Feature’s Triangle list to determine if the Cell falls within that n-sided polyhedra. (Note: if the surface mesh is conformal, then each Cell will only belong to one Feature, but if not, the last Feature the Cell is found to fall inside of will own the Cell)

  5. Assign the Feature number that the Cell falls within to the Feature Ids array in the new rectilinear grid geometry

Note that the unperturbed grid is where the Feature Ids actually live, but the perturbed locations are where the Cells are sampled from. Essentially, the Feature Ids are stored where the user thinks the sampling took place, not where it actually took place!

Random Number Seed Parameters

Parameter Name

Parameter Type

Parameter Notes

Description

Use Seed for Random Generation

Bool

When true the user will be able to put in a seed for random generation

Seed Value

Scalar Value

UInt64

The seed fed into the random generator

Stored Seed Value Array Name

DataObjectName

Name of array holding the seed value

Input Parameter(s)

Parameter Name

Parameter Type

Parameter Notes

Description

Number of Cells per Axis

Vector of UInt64 Values

Order=X Points,Y Points,Z Points

The dimensions of the created Image geometry

Origin

Vector of Float32 Values

Order=x,y,z

The origin of the created Image geometry

Spacing

Vector of Float32 Values

Order=x,y,z

The spacing of the created Image geometry

Uncertainty

Vector of Float32 Values

Order=x,y,z

uncertainty values associated with X, Y and Z positions of Cells

Input Data Objects

Parameter Name

Parameter Type

Parameter Notes

Description

Triangle Geometry

Geometry Selection

Triangle

The geometry to be sampled onto grid

Face Labels

Array Selection

Allowed Types: int32 Comp. Shape: 2

Array specifying which Features are on either side of each Face

Output Image Geometry

Parameter Name

Parameter Type

Parameter Notes

Description

Image Geometry

DataGroupCreation

The name and path for the image geometry to be created

Output Cell Attribute Matrix

Parameter Name

Parameter Type

Parameter Notes

Description

Cell Data Name

DataObjectName

The name for the cell data Attribute Matrix within the Image geometry

Output Cell Data

Parameter Name

Parameter Type

Parameter Notes

Description

Feature Ids Name

DataObjectName

The name for the feature ids array in cell data Attribute Matrix

DREAM3D-NX Help

If you need help, need to file a bug report or want to request a new feature, please head over to the DREAM3DNX-Issues GitHub site where the community of DREAM3D-NX users can help answer your questions.