Dealing with the Quaternion Antipodal Problem for Advecting Fields

Abstract

Quaternion representations of rotations are proposed for advecting rotations in large strain simulations. One algorithm enforces continuity to resolve the ambiguity created by equivalent antipodal representations and the other proposes using products of quaternions to ameliorate these issues. The results of both are unique and continuous, but the former does not capture the correct periodicity and the latter requires special treatment for 180 deg rotations.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2017
Accession Number
AD1043624

Entities

People

  • Richard Becker

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Advection
  • Algorithms
  • Ambiguity
  • Buildings And Structures
  • Continuity
  • Coordinate Systems
  • Discontinuities
  • Materials
  • Mathematics
  • Military Research
  • Orientation (Direction)
  • Periodic Variations
  • Personal Information Managers
  • Rotation
  • Simulations

Readers

  • Computational Modeling and Simulation
  • Geodesy
  • Mathematical Modeling and Probability Theory.