Accession Number:

AD1043624

Title:

Dealing with the Quaternion Antipodal Problem for Advecting Fields

Descriptive Note:

Technical Report,01 Aug 2017,30 Sep 2017

Corporate Author:

US Army Research Laboratory US Army Research Laboratory United States

Personal Author(s):

• Becker,Richard

Report Date:

2017-12-01

Pagination or Media Count:

18.0

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.

Descriptors:

• algorithms
• complex numbers
• euler angles
• computer vision
• APPLIED MATHEMATICS
• decomposition
• advection
• rotation

Subject Categories:

• Numerical Mathematics
• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE