Find Feature Average Orientations

Group (Subgroup)

Statistics (Crystallographic)

Description

This Filter determines the average orientation of each Feature by the following algorithm:

  1. Gather all Elements that belong to the Feature
  2. Using the symmetry operators of the phase of the Feature, rotate the quaternion of the Feature's first Element into the Fundamental Zone nearest to the origin
  3. Rotate each subsequent Elements's quaternion (with same symmetry operators) looking for the quaternion closest to the quaternion selected in Step 2
  4. Average the rotated quaternions for all Elements and store as the average for the Feature

Note: The process of finding the nearest quaternion in Step 3 is to account for the periodicity of orientation space, which would cause problems in the averaging if all quaternions were forced to be rotated into the same Fundamental Zone

Note: The quaternions can be averaged with a simple average because the quaternion space is not distorted like Euler space.

Parameters

None

Required Geometry

Not Applicable

Required Objects

Kind Default Name Type Component Dimensions Description
Element Attribute Array FeatureIds int32_t (1) Specifies to which Feature each Element belongs
Element Attribute Array Phases int32_t (1) Specifies the Ensemble of the Element
Element Attribute Array Quats float (4) Specifies the orientation of the Element in quaternion representation
Ensemble Attribute Array CrystalStructures uint32_t (1) Enumeration representing the crystal structure for each Ensemble

Created Objects

Kind Default Name Type Component Dimensions Description
Feature Attribute Array AvgQuats float (4) Specifies the average orientation of the Feature in quaternion representation
Feature Attribute Array AvgEulerAngles float (3) Specifies the orientation of each Feature in Bunge convention (Z-X-Z)

Example Pipelines

  • (10) SmallIN100 Full Reconstruction
  • InsertTransformationPhase
  • (06) SmallIN100 Postsegmentation Processing
  • (05) SmallIN100 Crystallographic Statistics
  • (06) SmallIN100 Synthetic

Please see the description file distributed with this Plugin

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